Analog-to-digital converter which is substantially independent of capacitor mismatch

Information

  • Patent Grant
  • 6784824
  • Patent Number
    6,784,824
  • Date Filed
    Thursday, August 29, 2002
    22 years ago
  • Date Issued
    Tuesday, August 31, 2004
    20 years ago
Abstract
A method, apparatus, and system for providing accurate level shifting, residue multiplication, and sample-and-hold functions for ADCs, while eliminating capacitor mismatch as a source of ADC errors. An input signal is sampled onto a first capacitor, and the complemented input signal is sampled onto a second capacitor. The sampled input signal is provided to a first input terminal of a unity gain amplifier by controllably connecting the first capacitor between the amplifier output and the first input terminal. An inverted version of the sampled complemented input signal is level shifted and provided to the amplifier's second input terminal by controllably coupling the second capacitor between a selected level-shift voltage and the second input terminal. The sampled analog input signal is added to the inverted version of the sampled complemented analog input signal, while subtracting the selected level-shift voltage, to provide a residue signal available for use in subsequent conversion stages.
Description




FIELD OF THE INVENTION




The present invention generally relates to analog-to-digital converters (ADCs), and more particularly to a system, method, and apparatus for providing accurate ADC stage functionality while avoiding capacitor mismatch and non-linearity problems.




BACKGROUND




The ubiquitous switched capacitor charge transfer circuit has long been used in a wide range of signal processing applications. Switched capacitor circuits are a class of discrete-time systems that are often used in connection with filters, analog-to-digital converters (ADCs), digital-to-analog converters (DACs), and other analog/mixed signal applications. Conventional switched capacitor circuits are based on creating coefficients of a transfer function by transferring charge from one input capacitor C


1


to a second capacitor C


2


in the feedback loop of an amplifier via the virtual node of that amplifier so as to create a transfer of C


1


/C


2


. For example, a gain of two can be created by making C


1


=2*C


2


.




However, finite amplifier DC gain and bandwidth cause incomplete charge redistribution, resulting in incomplete charge transfer from C


1


to C


2


. This, together with inaccuracies in the matching of the capacitors C


1


and C


2


, results in the creation of an inaccurate transfer function. Many applications, such as ADCs, require very high accuracies in the transfer function, such as accuracies exceeding 0.1%. This kind of accuracy is virtually impossible using conventional circuits in modern day CMOS processes. Often, the values of the capacitors are trimmed at manufacture, or some active calibration routines are executed, switching in and out small value capacitors in order to create an accurate transfer. Such schemes are expensive for high volume manufacture. To reduce capacitor mismatch problems, special capacitors such as double poly or Metal-Insulator-Metal (MiM) capacitors may be used, but the capacitor mismatch problem is not eliminated. Further, such circuits that employ voltage-to-charge and charge-to-voltage translations via the virtual earth node have limited immunity to extraneous noise sources, as the virtual earth node is a well known pick-up point for unwanted noise.




Prior art switched capacitor circuits such as those described above are often used in the design of ADCs, such as pipelined and algorithmic ADCs. The transfer characteristic of such ADCs is affected by non-linearities in the analog hardware. While offsets in the amplifier and comparators may be corrected through the use of digital error correction (DEC) logic, other sources of error remain. These include the inaccuracies in the creation of a multiply-by-two (MX2) gain function (including subtraction of sub-DAC levels), and variations in the reference levels. Variations in the reference levels is only an issue in pipelined ADCs, in which separate hardware in each stage samples +Vref and −Vref. Static errors in the reference levels are not an issue for algorithmic ADCs, since each rotation of the ADC samples the same references in the same way with the same hardware. The absolute accuracy of the reference levels is not important in a differential implementation, as long as they are stable and do not vary from conversion to conversion. Thus, the remaining sources of error that limit the accuracy of the complete ADC are the accuracy of the MX2 function, and the accuracy of the sub-DAC through the accuracy with which the DAC levels can be generated. In actual state of the art implementations, these errors are predominantly caused by the capacitor mismatch problems described above.




The present invention addresses these and other shortcomings of the prior art, and provides a solution to the problems exhibited by prior art switched capacitor ADC circuits.




SUMMARY OF THE INVENTION




In various embodiments, the present invention provides a method, apparatus, and system for providing accurate level shifting, residue multiplication, and sample-and-hold functions for analog-to-digital conversions, without requiring charge transfer between capacitors in a switched capacitor arrangement, thereby eliminating capacitor mismatch as a source of ADC errors.




In accordance with one embodiment of the invention, an ADC stage is provided for use in analog-to-digital conversions. The ADC stage includes an amplifier having first and second input terminals, and an output terminal to provide an analog ADC residue signal. First and second capacitances sample an input voltage signal and a complemented input voltage signal respectively, in response to a first clock phase. A first switch circuit is coupled to the first capacitance to provide the sampled input voltage signal to the first input terminal of the amplifier, and to couple the output terminal of the amplifier to the first capacitance via a feedback loop, in response to a second clock phase. A second switch circuit is coupled to the second capacitance to provide an inverted version of the sampled complemented input voltage signal to the second input terminal of the amplifier in response to the second clock phase. A level shifting circuit is coupled to receive the input voltage signal, and in response, to select one of a plurality of reference voltages. The amplifier adds the input signal to the inverted version of the complemented input signal as shifted by the level shifting circuit, to create the analog ADC residue signal for use in a subsequent ADC stage. Differential and/or double-sampling versions are also provided in accordance with the present invention. Further, the present invention may be used in a number of ADC configurations, including algorithmic and pipelined ADC configurations.




In accordance with another embodiment of the invention, a method is provided for converting an analog input signal to a digital signal using an amplifier. The method includes sampling the analog input signal onto a first capacitor, and the complement of the analog input signal onto a second capacitor. The sampled analog input signal is provided to a first input terminal of the amplifier by controllably connecting the first capacitor between the amplifier output and the first input terminal in a unity gain feedback configuration. An inverted version of the sampled complemented analog input signal, level shifted by one of a plurality of selectable reference voltages, is provided at a second input terminal of the amplifier by controllably coupling the second capacitor between a selected reference voltage and the second input terminal of the amplifier. The sampled analog input signal is added to the inverted version of the sampled complemented analog input signal, and the selected reference voltage is subtracted therefrom to provide a residue signal available for use in subsequent conversion stages.




It will be appreciated that various other embodiments are set forth in the Detailed Description and Claims which follow.











BRIEF DESCRIPTION OF THE DRAWINGS




Various aspects and advantages of the invention will become apparent upon review of the following detailed description and upon reference to the drawings in which:





FIG. 1

is a block diagram illustrating a typical 1.5-bit ADC stage;





FIG. 2

is a block diagram of an N-bit algorithmic ADC;





FIG. 3

is a block diagram of a representative pipelined ADC;





FIG. 4

illustrates an example of a residue transfer characteristic of a complete 1.5-bit ADC stage;





FIG. 5A

is a graph illustrating the effects on the transfer function of an ADC exhibiting a gain error greater than two in the multiply-by-two function;





FIG. 5B

is a graph illustrating the effects on the transfer function of an ADC exhibiting a gain error less than two in the multiply-by-two function;





FIG. 5C

is a graph illustrating the effect of sub-DAC errors in the first stage of the ADC on the total transfer function;





FIG. 6A

illustrates a switched capacitor implementation of a 1.5-bit stage for a single-ended application;





FIG. 6B

illustrates a differential switched capacitor implementation of a 1.5-bit stage;





FIGS. 7A and 7B

illustrate two halves of a representative differential 1.5-bit ADC stage in accordance with the principles of the present invention;





FIG. 8

illustrates an implementation of a differential ADC stage in accordance with the principles of the present invention;





FIG. 9

illustrates a representative waveform diagram corresponding to an algorithmic ADC in accordance with the present invention;





FIGS. 10A and 10B

illustrate representative examples of an ADC stage corresponding to a first half of a differential, algorithmic ADC implementation in accordance with the present invention;





FIG. 11

illustrates a representative portion of an algorithmic ADC stage


1100


which implements such a reset circuit in accordance with one embodiment of the invention;





FIG. 12

illustrates a non-differential, single-sampling ADC stage in accordance with the principles of the present invention; and





FIG. 13

is a flow diagram of a method for converting an analog input signal to a digital input signal in accordance with one embodiment of the present invention.











DETAILED DESCRIPTION




In the following description of the exemplary embodiment, reference is made to the accompanying drawings which form a part hereof, and in which is shown by way of illustration various manners in which the invention may be practiced. It is to be understood that other embodiments may be utilized, as structural and operational changes may be made without departing from the scope of the present invention.




The present invention is directed to an analog-to-digital converter (ADC) for use in various ADC architectures, such as algorithmic and pipelined ADC architectures. The ADC circuit in accordance with the present invention provides a very accurate manner of subtracting/level shifting, residue multiplication, and sample-and-hold (S&H) functions, all within a single clock cycle. In accordance with the invention, these functions are performed using a switched capacitor technique that is first order independent of capacitor matching. This enables its use in new digital technology processes, such as Complementary Metal-Oxide Semiconductor (CMOS) processes, that are uncharacterized for capacitor matching and analog performance.




In prior art ADC circuits such as 1.5-bit ADC stages, charge transfer occurs from one input capacitor to a second capacitor in the feedback look of an amplifier via the virtual earth node of the amplifier. In this manner, the input capacitor discharges to the feedback capacitor, giving rise to an output voltage that is proportional to the capacitor ratio (i.e., input capacitance/feedback capacitance). For example, a gain of “2” may be created by providing an input capacitor having a capacitance value twice that of the feedback capacitor.




The present invention, on the other hand, adds capacitor voltages only, with the amplifier serving as a buffer. For example, in one particular embodiment of the invention utilizing 1.5-bit ADC stages, a signal voltage may be sampled onto two capacitors on one clock cycle. On a following clock cycle one of the capacitors is placed in the feedback loop of the amplifier, and the other capacitor is inverted and connected between the amplifier's negative input terminal and any one of a predetermined number of voltages used in the 1.5-bit stage (e.g., +Vref, 0, −Vref), giving rise to an effective doubling of the input sample voltage combined with subtraction of one of the predetermined voltages. The resulting voltage is held at an output on a subsequent clock cycle so that it can be, for example, sampled by a subsequent stage of a pipeline ADC, or sampled in once again by a subsequent set of capacitors in an algorithmic ADC. By summing only capacitor voltages and using the amplifier as a buffer, multiplication by two, for example, does not depend on the absolute values of the capacitors, giving rise to a very robust solution suitable for embedding in digital environments. Chip area and power consumption are consequently reduced, thereby providing enhanced power and area figures-of-merit (FOMs) compared to current ADC designs.




A number of ADC architectures currently exist, and design choices are often made based on parameters including speed, power consumption, required real estate, complexity, etc. For example, a straightforward and fast ADC architecture is the flash architecture, where a number of parallel comparator circuits compare sampled/held analog signals with different reference levels. However, because each reference level should be no further than one least significant bit (LSB) apart, a large number of comparators may be required for such an architecture. For example, an N-bit ADC requires 2


n


comparators. Where the full scale input is a relatively small voltage, the LSB size will be relatively small, and the offset of the comparator needs to be very small which may be difficult to achieve with technologies such as CMOS, and special circuit techniques may be required. Flash ADCs are therefore generally limited to smaller resolution converters, such as 8-bit or less resolution.




Two-step flash architectures arose to address some of the problems of flash ADCs, where the two-step flash ADCs first performs a course quantization, the held signal is the subtracted from an analog version of the course quantization, and the residue is then more finely quantized. This significantly reduces the number of comparators required in a standard flash ADC architecture, but additional clock cycles are required to process the signal due to the extra stage. Another enhancement arose, where interstage gain was used to tolerate larger comparator offset for second stage comparators, which ultimately led to the pipelined ADC architecture employing multiple stages. The sampled input at each stage of a pipelined ADC architecture is converted to a particular resolution of the stage, such as n bits.




An ADC architecture resolving 1 bit per stage with one-half bit overlap is referred to as a “1.5-bit” ADC architecture. In order to facilitate an understanding of the invention, various embodiments of the description provided herein are described in terms of such a 1.5-bit architecture. Examples of such architectures are set forth below to provide an appropriate, representative context in which the principles of the present invention may be described. However, it will be apparent to those skilled in the art from the description provided herein that the present invention is scalable and equally applicable to other analogous ADC architectures.





FIG. 1

is a block diagram illustrating a typical 1.5-bit ADC stage


100


. The circuit


100


includes a sample-and-hold (S&H) circuit


102


, a 1.5-bit sub-ADC


104


, a 1.5-bit sub-DAC


106


, a subtractor


108


, and a multiplier


110


. Such an architecture is used in pipelined or algorithmic ACS to provide maximum bandwidth and low sensitivity to component mismatches. This is because each stage


100


requires only two comparators (not shown) having an accuracy of +/−(Vref/4) for the 1.5-bit sub-ADC


104


, and one multiplier (e.g., amplifier)


110


. The associated comparator and amplifier offset can easily be corrected using standard digital error correction (DEC) techniques.




In the circuit of

FIG. 1

, the input voltage “In” is sampled by the sample-and-hold


102


and resolved into a 1.5-bit digital code in a course analog-to-digital sub-converter (sub-ADC)


104


. With a 1.5-bit sub-ADC, only three codes are possible, such as 00, 01, 10. The resulting 1.5-bit code


112


is outputted to a digital error correction circuit. The code is also converted, via a digital-to-analog sub-converter (sub-DAC)


106


, back into a course analog signal with one of three predetermined analog values, such as −Vref/2,0, +Vref/2. The result is subtracted from the sampled-and-held analog input signal “In” via subtractor


108


. The resulting analog “residue” is gained up by a factor of two using the multiplier


110


to become the input voltage for the successive conversion.




As can be seen, the analog equivalent of the sub-ADC


104


output plus the output residue (prior to multiplication) is equal to the analog input voltage. Thus, any perturbation in the residue due to non-idealities can introduce differential nonlinearity (DNL) errors. Effectively, all errors in the gained up analog residue after the first conversion should be less than 1 LSB of the remaining resolution of the ADC (or less than 2 LSBs of the total resolution at N-bit level).




An N-bit algorithmic ADC


200


shown in

FIG. 2

is formed by sampling the input signal on the first clock cycle, and sampling the output of the 1.5-bit stage


202


on the next N−1 cycles. The 1.5-bit data


204


from each rotation are added up with 1-bit overlap in the DEC


206


circuit such that the least significant bit (LSB) from one rotation is added to the most significant bit (MSB) from the next rotation. Each rotation of the ADC resolves one effective bit from the MSB level down to the LSB−1 level. The final LSB bit is often resolved using a simple 1-bit flash


208


, e.g., a comparator with its threshold set to 0V. This bit


210


is not added, but rather is concatenated to the parallel data


212


of the DEC


206


.




Alternatively, a series of such stages may be used to create a pipelined ADC, such as the representative pipelined ADC


300


shown in FIG.


3


. The pipelined ADC


300


includes a series of N−2 stages


300


,


302


, . . .


304


, such as those described in connection with

FIG. 1

, as well as an Nth stage


306


. Stages


300


,


302


, . . .


304


may be used to resolve N−2bits, with the final stage


308


being a 2-bit flash to absolutely resolve the final two bits. The 1.5-bit data


310


,


312


, . . .


314


and 2-bit data


316


is provided to the DEC


318


to create the N-bit parallel output data


320


. The sample rate of the pipeline is approximately N times faster than that of the algorithmic architecture, depending ultimately on what resolution flash converter is used for the final stage


308


.




An example of a residue transfer characteristic of the complete 1.5-bit ADC stage is shown in FIG.


4


. In this example, it is assumed that the full signal range is between −Vref and +Vref. The transfer function is defined by Equation 1 below:








V




out


=2


×V




in




+D×V




ref


  EQUATION 1






where D can take on any one of the values {−1, 0, +1} depending on whether the analog input voltage falls within corresponding ranges of







{


(


+

V
ref




+


V
ref

4



)

,

(


+


V
ref

4




-


V
ref

4



)

,

(


-


V
ref

4




-

V
ref



)


}

.










Vout of Equation 1 may either be resampled into the algorithmic ADC on a subsequent rotation, or may become the input voltage for a subsequent stage of a pipelined ADC.




In an actual implementation, the transfer characteristic is affected by non-idealities in the analog hardware. As previously indicated, offsets in the amplifier and comparators can be corrected by the DEC. The two remaining sources of error in an actual implementation include inaccuracies in the creation of the multiply-by-two (MX2) gain function (including subtraction of sub-DAC levels), and variations in the reference levels. Variations in reference levels are-issues only in pipelined ADCs, in which separate hardware in each 1.5-bit stage samples +Vref and −Vref, where uncorrelated errors can occur from stage to stage. Static errors in the reference levels are not an issue for algorithmic ADCs, since each rotation of the ADC samples the same references in the same way with the same hardware. The absolute accuracy of the reference levels is not important in a differential implementation, as long as the reference levels are stable, within the usable dynamic range of the active circuitry, and do not vary from conversion to conversion. At most, the gain transfer is affected without affecting DNL/INL. Thus, the only two remaining sources of error that limit accuracy of the complete ADC are the accuracy of the multiply (MX2) function and the DAC levels (sub-DAC). In conventional implementations, this error is predominantly caused by capacitor mismatch.




The combined accuracy of the MX2 and sub-DAC functions must be better than one LSB of the remaining resolution of the ADC in order to guarantee no missing codes. The first stage of the pipeline has the most stringent requirement here, as the MX2/sub-DAC functions for an N-bit ADC must be accurate to at least N−1 bits, which is the number of bits yet to be resolved after the first stage. The required resolution of an N-bit algorithmic ADC is commensurate with the required resolution of the first stage of a pipeline, i.e., N−1 bits. For a robust design—and to account for other sources of error, most notably noise—the accuracy of the MX2 amplifier with sub-DAC, after including all possible contributions of error, should be designed to be at least 0.5 LSBs of the remaining resolution, i.e., N bits accuracy.




The effect of a gain error in the first stage of a pipeline, or the first rotation of an algorithmic, is illustrated in FIG.


4


. The comparator levels of the two comparators of the 1.5-bit stage are set to −Vref/4 and +Vref/4 respectively. It can be seen that when the gain of the stage is too high, over-ranging can occur where the slope


400


of the MX2 is greater than the ideal slope


402


of the MX2. This causes the input signal to the next stage to go beyond the maximum allowable range {+Vref and −Vref} for conversion.




The effects on the complete transfer function of the ADC are shown in

FIGS. 5A

,


5


B, and


5


C for gain errors and sub-DAC errors in the first stage of a pipeline or in the algorithmic ADC.

FIG. 5A

shows the effect of a gain error greater than two in the MX2 which produces non-monotonicity and the potential for missing codes. Where the ideal gain is equal to two as shown on dashed line


500


, non-ideal gain error greater than two as shown on lines


502


A,


502


B,


502


C can result in missing digital output codes. Similarly,

FIG. 5B

shows the effect of a gain error less than two in the MX2 which produces missing codes. Where the ideal gain is again equal to two as shown on dashed line


500


of

FIG. 5B

, non-ideal gain error less than two as shown on lines


504


A,


504


B,


504


C can result in missing digital output codes. Further,

FIG. 5C

shows the effect of sub-DAC errors in the first stage of the ADC on the total transfer function. The ideal transfer function is shown on dashed line


506


, and various representative DAC level shift errors are shown on lines


508


A,


508


B, and


508


C, which will result in missing codes. These errors are caused by capacitor mismatch and non-linearity. In practice, all these errors will propagate from the MSB to the LSB level, eventually (and undesirably) producing a jagged transfer function for the complete ADC.




Current 1.5-bit designs exhibit characteristics that are responsible for much of this gain error. A switched capacitor implementation of a 1.5-bit stage for a single-ended application is shown in

FIG. 6A

, a portion of which includes a prior art switched capacitor (SC) circuit


600


. The switched capacitor circuit


600


includes an amplifier


602


, two nominally equal capacitors C


f




604


and C


s




606


, and several switches


608


,


610


,


612


,


614


,


616


,


618


,


620


. Two opposite phased clock signals, clk


1


and clk


2


, are non-overlapping. The switched capacitor circuit


600


performs the level shifting, residue multiplication by two (MX2), and sample-and-hold buffering as is known in the art. The input signal Vin is applied to the sub-ADC including comparators


622


,


624


, with voltage thresholds set at +Vref/4 and −Vref/4 respectively. Concurrently, the input signal Vin is sampled onto C


s




606


and C


f




604


. At the end of the first clock phase, ckl


1


, Vin is completely sampled onto C


s




606


and C


f




604


, while the output of the sub-ADC


622


,


624


is latched and held by latches associated with the latches and clock generator


626


. During clk


2


, C


f




604


is switched via switch


608


and placed across the amplifier


602


, completing its negative feedback loop


628


. At the same time, one of the input switches


614


,


616


,


618


connected to C


s




606


is closed by the sub-DAC using only one of the clock signals top, mid, bot. In this manner, the analog residue voltage is produced at the output


630


, such that Vout is provided as shown in Equation 2:










V
out

=



(

1
+


C
s


C
f



)

×

V
in


+

D
×

V
ref







Equation





2













where:






















V


in






D




Bot




Mid




Top













V


in


> V


ref


/4




−C


S


/C


f






1




0




0







−V


ref


/4 ≦ V


in


≦ +V


ref


/4




0




0




1




0







V


in


< −V


ref


/4




+C


S


/C


f






0




0




1















By choosing capacitors C


s




606


and C


f




604


to have the same value, Equation 2 is made to correspond to the ideal transfer function of Equation 1 of a 1.5-bit stage. The reference levels can be generated accurately and is generally not a limitation on the realization of a high resolution ADC (e.g., 12-bit level). The single factor that ultimately determines the maximum resolution of the ADC is the capacitor mismatch. This mismatch has two effects on the performance of current state-of-the-art designs, including 1) it affects the accuracy of the MX2 function, and 2) it affects the accuracy of the sub-DAC through the accuracy with which the DAC levels {−Vref, 0, +Vref} can be generated.




In order to achieve 10-bit performance, a matching of the order of 0.1% is needed between C


s




606


and C


f




604


. This is currently not possible to achieve in standard CMOS processes without using special capacitor options, such as the use of poly-poly capacitors. Even using such specialized capacitors, very large values for the capacitors are needed (i.e., on the order of many picofarads), to guarantee 0.1% matching across all process corners. Such large value capacitors would be responsible for creating an ADC that requires a great deal of real estate and exhibits significant power consumption. For a pipelined ADC with N−1 stages, such an approach is unacceptable. Alternatively, calibration routines are sometimes used to either trim the values of the capacitors or to digitally calibrate out the gain error in a post-processing routine. Such correction/calibration routines are needed to achieve a resolution better than ten bits due to the limitations of the processing technology on prior art ADC circuit architectures. Complicated calibration routines exist which add area, power consumption, and latency to the conversion. Typically, many (e.g., up to seven) clock cycles per bit are needed to calibrate away capacitor mismatch errors. Still a further point of issue can be capacitor linearity: any non-linearity in C


s




606


and C


f




604


of

FIG. 6A

will cause non-linearity in the MX2 amplifier


602


and cause differential nonlinearity (DNL) and integral non-linearity (INL) errors.




For well known reasons of noise immunity and increased dynamic range, conventional ADC solutions may be realized using a fully differential amplifier.

FIG. 6B

illustrates a differential switched capacitor implementation of a 1.5-bit ADC stage. The conventional switched capacitor implementation includes a differential amplifier


650


, as well as a differential input signal Vin


652


and a differential output signal


654


. In such a conventional differential amplifier implementation, the differential amplifier


650


is used, charge is transferred between capacitors, and a capacitor ratio is still used to establish the gain (multiplication by 2, for example). As previously stated in the single-ended example, all of the charge on one capacitor is transferred to the other capacitor, and any error in the charge transfer results in errors in the total transfer function. The capacitance mismatch and non-linearity problems may be exacerbated where double-sampling techniques are used. A double-sampling ADC stage may be realized that samples the inputs on a first clock phase ckl


1


and delivers its output on a second clock phase clk


2


, and can also sample the inputs on clk


2


and deliver its output on ckl


1


through the use of an additional set of capacitors. By doubling the capacitors in this way, it is possible to double the conversion rate of the ADC for the same analog power dissipation. However, in current state-of-the-art designs, double-sampling introduces unwanted characteristics around half the sampling frequency due to the extra mismatch that occurs between both of the double-sampling channels from mutual capacitor mismatch on ckl


1


and clk


2


. To reduce such a mismatch, the capacitors would need to be even larger than in the single-sampling version, meaning more power and area consumption which is undesirable. Mainly for these reasons, double-sampling is often not used in current ADC implementations.




The present invention addresses a number of shortcomings of prior art ADC technologies, including the aforementioned error situations exhibited by current ADC technologies. The present invention significantly reduces errors in the MX2 (or other multiplier) function, as well as errors in the generation of DAC levels, that are present in conventional ADC technologies. The present invention is first order independent of capacitor matching, enabling accurate, relatively high bit-width ADC


s


in CMOS (and other technologies) that are otherwise uncharacterized for matching of analog components. Further, the apparatus and methodology in accordance with the present invention allows for use of simple metal layer capacitors as the signal capacitors, while still achieving accurate, high bit-width performance. The present invention is also substantially faster than prior art ADC


s


employing analogous hardware. Thus, with use of similar amplifiers and capacitors in both prior art systems and in the present invention, the present invention is substantially faster than the prior art systems by virtue of the fact that the feedback factor (and, consequently the gainbandwidth) for the amplifiers is substantially larger.




Referring to

FIG. 7A

, a block diagram of a representative 1.5-bit ADC stage


700


corresponding to a first half of a differential implementation is illustrated.

FIG. 7B

illustrates a second half of the representative differential implementation. Two opposite phased clock signals are used, namely clock phases ckl


1


and clk


2


. First considering the top half of the differential implementation shown in

FIG. 7A

, In_p


702


of the differential input signal is sampled onto capacitance C


1a




704


with respect to ground on clock phase ckl


1


by closing switches


706


and


708


. During clock phase ckl


1


of the illustrated embodiment, a number of other different switches are closed, including switches


714


and


716


. Thus, In_n


720


of the differential input signal is also sampled onto capacitance C


3a




722


due to switches


714


and


716


being closed during clock phase ckl


1


. In one embodiment of the invention, bottom plate sampling is used, where the input signals In_p


702


and In_n


720


are sampled on to the bottom plate of the capacitances C


1a




704


and C


3a




722


respectively. The top plates of capacitances C


1a




704


and C


3a




722


are coupled to ground during the ckl


1


phase.




On the next clock phase, clk


2


, C


1a




704


is connected across the amplifier


724


due to switches


726


and


728


closing, and switches


706


and


708


opening. Thus, the top plate of capacitance C


1a




704


is coupled to the negative input


730


of the amplifier


724


, and the bottom plate of capacitance C


1a




704


is coupled to the output (Out_p


732


) of the amplifier


724


. Assertion of clock phase clk


2


also causes capacitance C


3a




722


to have its bottom plate connected to any one of the voltages +Vref, 0, −Vref. Such voltages are controllably selected by sub-DAC control signals labeled as the top (top_a), middle (mid_a), or bottom (bot_a). The top plate of capacitance C


3a




722


is then coupled to the positive input terminal


734


of the amplifier


724


on clk


2


. In this manner, one of the output control signals of the sub-DAC (i.e., bot_a, mid_a, top_a) selects a corresponding +Vref, 0, or −Vref voltage, which in turn serves as a reference voltage to the capacitance C


3a




722


during the second clock phase clk


2


. The net consequence of these actions is that after one clock period delay, In_p is added to an inverted version of In_n, while at the same time it is level shifted by either +Vref, 0, −Vref. This is accomplished without ever creating a transfer of charge between capacitors.




In a double-sampled embodiment, C


2a




736


and C


4a




738


perform similar functions to those described in connection with C


1a




704


and C


3a




722


, but with opposite phased clock signals. More particularly, In_p


702


of the differential input signal is sampled onto capacitance C


2a




736


with respect to ground on clock phase clk


2


by closing switches


740


and


742


. During clock phase clk


2


of the illustrated embodiment, In_n


720


of the differential input signal is also sampled onto capacitance C


4a




738


due to switches


744


and


746


being closed during clock phase clk


2


. In one embodiment of the invention, bottom plate sampling is used, where the input signals In_p


702


and In_n


720


are sampled on to the bottom plate of the capacitances C


2a




736


and C


4a




738


respectively. The top plates of capacitances C


2a




736


and C


4a




738


are coupled to ground during the clk


2


phase.




On the next clock phase, clk


1


, C


2a




736


is connected across the amplifier


724


due to switches


748


and


750


closing, and switches


740


and


742


opening. Thus, the top plate of capacitance C


2a




736


is coupled to the negative input


730


of the amplifier


724


, and the bottom plate of capacitance C


2a




736


is coupled to the output (Out_p


732


) of the amplifier


724


. Assertion of clock phase ckl


1


also causes capacitance C


4a




738


to have its bottom plate connected to any one of the voltages +Vref, 0, −Vref, in response to the appropriate control output from the sub-DAC. Such sub-DAC control signals are labeled as the top (top_a), middle (mid_a), or bottom (bot_a). The top plate of capacitance C


4a




738


is then coupled to the positive input terminal


734


of the amplifier


724


. In this manner, one of the output control signals of the sub-DAC (i.e., bot_a, mid_a, top_a) selects the corresponding voltage +Vref, 0, or −Vref, which in turn serves as a reference voltage to the capacitance C


4a




738


during the first clock phase ckl


1


.




Using the additional circuitry in such a double-sampled embodiment, the inputs In_p


702


and In_n


720


can be processed at double the rate of a single-sampling implementation, thereby doubling the conversion speed of the ADC using such circuit stages.





FIG. 7B

illustrates a representative 1.5-bit ADC stage


760


corresponding to the second half of the differential implementation described in connection with FIG.


7


A. The circuit stage


760


operates in an analogous manner as that described in connection with

FIG. 7A

, using another set of capacitances C


1b




762


and C


3b




764


, as well as capacitances C


2b




766


and C


4b




768


for the double-sampling implementation. Further, because the circuit


760


forms a second half of a differential implementation, the input signals In_p


702


and In_n


720


are reversed such that the input signal In_n


720


is ultimately coupled to the negative input


730


of the amplifier


724


, and the input signal In_p


702


is ultimately coupled to the positive input


734


of the amplifier


724


. The amplifier


724


outputs the other differential signal, shown as output signal Out_n


770


in FIG.


7


B. Otherwise, the operation is analogous to that described in connection with

FIG. 7A

, ultimately producing differential output signals Out_p


732


and Out_n


770


.





FIG. 8

illustrates an implementation of the differential ADC stage


800


described in connection with

FIGS. 7A and 7B

. The illustrated embodiment represents an implementation of the differential ADC stage in the context of an algorithmic ADC. In this embodiment, circuit stages


802


and


804


correspond respectively to the circuits


700


and


760


described in connection with

FIGS. 7A and 7B

. In this embodiment, all voltage levels are shifted by a common mode voltage, refcm, such that the signal range is between refn and refp. Therefore, a single supply voltage may be used (i.e., 0 to Vdd). The illustrated ADC stage


800


is applied in an algorithmic ADC as previously described in connection with

FIG. 2

, with non-overlapping clocks ADC_clk and ADC_clk_n such that ADC_clk is high for one clock period and ADC_clk_n is high for the remaining N−2 clock periods as explained in connection with FIG.


2


. The differential analog input signal (i.e., In_p


806


; In_n


808


) is sampled at the start of each conversion, using ADC_clk, while the gating with ADC_clk_n ensures that the differential output signal (i.e., Out_p


810


; Out_n


812


) is sampled for the remaining N−2 clock periods. A final instantaneous decision can be made with a 1-bit flash to determine the last bit, giving a total of N−1 clock cycles to resolve N bits.




Matching of the absolute values of reference voltages −Vref/4 and +Vref/4, and consequently refp-refcm and refcm-refn, is not needed in differential algorithmic/pipelined ADCS. Furthermore, refcm may be nominally set halfway between refp and refn, but its exact position is not critical.





FIG. 9

illustrates a representative waveform diagram corresponding to an algorithmic ADC such as described in connection with

FIG. 8. A

master clock


900


is provided, where ckl


1


and clk


2


are non-overlapping phases of the clock. For this algorithmic ADC, clocks ADC_clk


906


and ADC_clk_n


908


are non-overlapping, such that ADC_clk


906


is high for one clock period and ADC_clk_n


908


is high for the remaining N−2 clock periods. The data ready signal (DRDY)


914


is asserted when the ADC_clk


906


is asserted, thereby allowing the parallel data


912


to begin accumulating the associated digital data.




Non-overlapping clocks with early turn-off times, i.e., ckl


1


_e


914


and clk


2


_e


916


, may be applied in the implementation of the algorithmic ADC. When the capacitors are sampling the input signals or references, the input switches switching with respect to refcm switch off early in one embodiment of the invention. On the other hand, switches connecting the capacitors to the inputs of the amplifiers should switch off late in accordance with this embodiment of the invention. In this manner, when in cyclic mode, the outputs of the amplifiers can be sampled by the oppositely-phased capacitor networks before any switching occurs around the amplifiers, ensuring clean sampling.




An example of an ADC stage corresponding to a first half of a differential, algorithmic ADC implementation, such as that described in connection with

FIG. 8

, is illustrated in

FIGS. 10A and 10B

. The example of

FIGS. 10A and 10B

is provided as a representative implementation, and those skilled in the art will appreciate that many variations to such an implementation are possible.





FIG. 10A

corresponds to the circuitry coupled to the negative input of an amplifier, such as the switches and capacitors coupled to the negative input of the amplifier shown in block


802


of FIG.


8


. As was described in connection with

FIGS. 8 and 9

, two opposite phased clock signals are used, namely clock phases ckl


1


and clk


2


. The signal In_p


1000


of the differential input signal is sampled onto capacitance C


1a




1002


with respect to a reference voltage such as refcm, on clock phase ckl


1




1004


. The signal


1000


is sampled onto C


1a




1002


via switch circuit


1006


. The ADC_clk


1008


enables the ckl


1




1004


to be passed for one clock period, via the NAND gate


1010


and associated inverters


1012


,


1014


to the CMOS switch


1016


. Thus, when the ADC_clk


1008


and ckl


1




1004


are asserted, the switch


1016


samples the In_p


1000


signal onto C


1a




1002


with respect to the reference voltage through CMOS switch


1018


when switched by the early turn-off clock ckl


1


_e


1020


.




On the next clock phase, clk


2




1022


, C


1a




1002


is coupled to the negative terminal


1024


of the amplifier via switch circuit


1026


. As previously indicated, the ADC_clk_n


1028


is high for the remaining N−2 clock periods, thereby gating the appropriate clock phase to the CMOS switch


1030


via the logic components


1032


,


1034


,


1036


,


1038


. The output signal Out_p


1040


, from the output of the amplifier (not shown), is thus fed back to switch


1030


and coupled to the bottom plate of the capacitor C


1a


on clk


2




1022


.




In a double-sampled embodiment, switch circuits


1042


and


1044


are also provided. These switch circuits


1042


,


1044


operate analogously to switch circuits


1006


and


1026


respectively, with the ckl


1




1004


and clk


2




1022


signals reversed with respect to switch circuits


1006


and


1026


. In the double-sampled embodiment, In_p


1000


is sampled onto capacitance C


2a




1046


, and on the next clock phase C


2a




1046


is coupled to the negative terminal


1024


of the amplifier via switch circuit


1048


.





FIG. 10B

corresponds to a portion of the circuitry coupled to the positive input of an amplifier, such as the switches and capacitors coupled to the positive input of the amplifier shown in block


802


of FIG.


8


. Because the circuits associated with each of the capacitors C


3a


and C


4a


in a double-sampling implementation of

FIG. 8

are analogous, only the circuitry of one such circuit is described in FIG.


10


B.




In_n


1050


is sampled onto capacitance C


4a




1052


via switch circuit


1054


. This occurs when clk


2




1056


is high, and ADC_clk


1008


is asserted on the first clock period of the algorithmic implementation. NAND gate


1056


and inverters


1058


,


1060


enable passage of the In_n


1050


signal through the CMOS switch


1062


to be sampled on to C


4a




1052


. On all remaining stages, ADC_clk_n


1028


gates the clk


2




1022


signal via switch circuit


1064


, which includes NAND gate


1066


and inverters


1068


,


1070


, such that passage of the Out_n


1072


signal from the differential counterpart circuit is enabled through switch


1074


to be sampled on to C


4a




1052


, and ultimately switched via switch


1074


to the positive terminal


1076


of the amplifier.




The sub-DAC provides control signals, such as bot_b, mid_b, and top_b, which selectively provide a corresponding voltage refp, refcm, or refn to the bottom plate of the capacitor C


4a


via the level-shifting circuit


1078


. In this manner, one of the output control signals of the sub-DAC (i.e., bot_b, mid_b, top_b) allows a corresponding voltage to level shift the voltage at the positive terminal


1076


of the amplifier.




A counterpart circuit (not shown) corresponding to the other half of the differential circuit shown in

FIGS. 10A and 10B

operates analogously.




Amplifiers that may be used in connection with the present invention, such as amplifier


724


described in connection with

FIGS. 7A and 7B

, can retain a significant amount of residual charge when switching from one N-bit conversion to the next. This is due to the parasitic capacitance at the input to the amplifiers, where this parasitic capacitance includes the oxide input capacitance of the amplifier, wiring capacitance, switch diffusion capacitance, etc. This charge is transferred to the signal capacitors at the start of the next new conversion, giving rise to a substantial degradation in performance when any over-range occurs in the ADC (i.e., an input signal which has an amplitude larger than refp-refn).




In accordance with the present invention, a novel amplifier reset methodology is implemented to address this residual charge problem between conversions. In one embodiment, a number of reset switches are timed to remove the residual charge on the amplifier terminals, while performing the N-bit conversion in N clock cycles of the master clock. As previously indicated, by using a final flash stage it is possible to convert an analog signal into a digital signal using N−1 clock periods of the master clock. The final decision is instantaneous and becomes available with the final LSB+1 bit in the DEC. Thus, during the sampling-in period with ADC-clk (described in connection with

FIGS. 8

,


9


,


10


A,


10


B), the amplifiers may be reset, since their output is no longer necessary for the DEC. In this manner, the N-bit conversion can be performed in only one additional clock cycle, thereby resulting in an N-bit conversion in N clock cycles of the master clock. If no such reset action were performed, and the input were to fall below 0V for example, then the input signal must reach a minimum level of the offset that has been transferred to the signal capacitors before the ADC starts to convert properly again. Therefore, the reset circuit used in connection with the present invention dramatically improves the performance of the algorithmic ADC.





FIG. 11

illustrates a representative portion of an algorithmic ADC stage


1100


which implements such a reset circuit. The amplifier


1102


, a single-ended amplifier in the illustrated embodiment, includes a negative input


1104


, a positive input


1106


, and an output


1108


. AS indicated in connection with previously described embodiments, the derived clock signal ADC_clk


1110


may be used to trigger the initial sampling of the input signal in an algorithmic ADC, and the derived clock signal ADC_clk_n


1112


is used for the remaining N−2 clock periods. During the time that the new input signal is being sampled as enabled by ADC_clk


1110


, the amplifier


1102


can be reset. It should be recognized that the amplifier


1102


can be reset using an additional clock cycle rather than during the sampling-in period corresponding to the ADC_clk


1110


, however resetting the amplifier during this period allows the total conversion to be minimized.




Thus, when the ADC_clk


1110


is asserted, each of the switches


1114


,


1116


,


1118


, and


1120


close, and discharge any charge to a reference voltage which is refcm in the illustrated embodiment. Reset switch


1114


is coupled between the negative input


1104


of the amplifier


1102


and refcm, and reset switch


1118


is coupled between the positive input


1106


of the amplifier


1102


and refcm. A reset switch


1116


is also coupled between the negative


1104


and positive


1106


inputs of the amplifier, which in turn are coupled to refcm. Finally, reset switch


1120


is coupled between the amplifier


1102


output


1108


and refcm. When the ADC_clk


1110


is asserted (e.g., transitions high), each of the switches


1114


,


1116


,


1118


,


1120


are closed, thereby discharging parasitic capacitances to refcm.




As indicated above, the ADC stage in accordance with the present invention may be used in a differential implementation. However, the principles of the present invention may also be implemented in a non-differential mode.

FIG. 12

is an example of how the present invention may be implemented in a non-differential, single-sampling ADC stage


1200


. In this example, the input signal, Vin


1202


is sampled onto a first capacitor C


1




1204


when switches


1206


,


1208


are closed during ckl


1


. A complemented version of the Vin


1202


signal is generated in any known manner, represented by the inverter


1210


. Thus, this inverted signal, Vin′


1212


is sampled onto C


2




1214


during ckl


1


when switches


1216


,


1218


are closed.




During the ckl


1


phase, the Vin


1202


signal is also received at the sub-ADC circuit


1220


of a level shifting circuit


1230


, where the sub-ACD circuit


1220


provides the 1.5-bit (or other) data


1221


, the value of which depends on the Vin


1202


analog voltage level. This 1.5-bit digital output is received by the decoder/clock generator (clkgen) circuit


1222


. On the next clock phase clk


2


, the decoder/clkgen


1222


asserts one of a plurality of control signals based on the 1.5-bit data


1221


, such as the “bottom,” “middle,” or “top” signals. The asserted one of the bottom, middle, or top signals closes a corresponding one of the switches


1224


,


1226


,


1228


of the level shift circuit


1230


. Depending on which of the switches


1224


,


1226


,


1228


is closed, the corresponding reference voltage −Vref, 0, +Vref is used to shift the output signal RESIDUE


1232


of the amplifier


1234


, by providing the selected reference voltage to the positive input


1235


of the amplifier


1234


.




The RESIDUE


1232


signal


1232


is generated during the clk


2


phase, where the sampled voltage on C


1




1204


is coupled between the output


1236


and the negative terminal


1238


of the amplifier


1234


, due to switches


1240


and


1242


closing and switches


1206


and


1208


opening. Further, the sampled voltage on C


2




1214


is coupled to the positive input


1235


of the amplifier


1234


when switch


1244


closes in response to clk


2


.




The Vin


1202


signal is therefore inverted, and the complementary signals Vin


1202


and Vin′


1212


are sampled, and provided to the amplifier


1234


as the Vin


1202


signal and an inverted version of the complemented Vin signal, to provide the MX2 function by adding these signals. The RESIDUE


1232


is provided as a result of the subtraction of the voltage provided by the level shift circuit


1230


and the MX2 function performed at the amplifier


1234


. As can be seen, the subtraction/level shifting, residue multiplication by two, and sample/hold functions are all performed in one clock cycle, independent of any capacitor mismatch that may occur between the signal capacitors C


1




1204


and C


2




1214


.




It is noted that the sub-ADC


1220


, decoder/clkgen


1222


, and level shift circuit


1230


are representative of the circuit (or equivalent thereof) that may be used to provide the coarse analog-to-digital conversion, decoding, and level shift functions for any of the embodiments of the present invention described herein.





FIG. 13

is a flow diagram of a method for converting an analog input signal to a digital input signal in accordance with one embodiment of the present invention. The analog input signal is sampled


1300


onto a first capacitor, or group of capacitors or capacitive elements collectively providing a capacitance in which the input signal may be stored. A complemented analog input signal, i.e., an inversion of the analog input signal, is similarly sampled


1302


onto a second capacitor(s). One or more switches are actuated


1304


in order to couple the first capacitor between the amplifier output and a first amplifier input, in a unity gain feedback arrangement. The sampled input signal is thus provided to the first amplifier input, such as the inverting/negative amplifier input. One or more switches are also actuated


1306


in order to couple the second capacitor between a selected reference voltage and a second amplifier input, in order to provide an inverted version of the sampled complemented input signal to the first amplifier input as level-shifted by the selected reference voltage. The sampled input signal is added


1308


to the inverted version of the complemented input signal using the amplifier, and the selected reference voltage is effectively subtracted from the output in order to provide a residue signal available for use in subsequent conversion stages.




If there are more ADC residue stages in the ADC as determined at decision block


1310


, then the next stage


1312


is considered, and the process is repeated for that stage. When there are no further stages, such as when N−1 stages have been processed in an algorithmic or pipelined ADC configuration, then the final flash stage can be processed


1314


as previously described.




Each of the illustrated embodiments (as well as other embodiments of the present invention not illustrated herein) not only provide a significantly more accurate conversion, the resulting ADC is substantially faster than prior art ADC


s


employing analogous hardware. In other words, the use of amplifiers and capacitors in both prior art systems and in the present invention, the present invention is substantially faster than the prior art systems by virtue of the fact that the feedback factor (and, consequently the gainbandwidth) for the amplifiers is substantially larger.




The foregoing description of various exemplary embodiments of the invention has been presented for the purposes of illustration and description. It is not intended to be exhaustive or to limit the invention to the precise from disclosed. Many modifications and variations are possible in light of the above teaching. It is intended that the scope of the invention be limited not with this detailed description, but rather by the claims appended hereto.



Claims
  • 1. An analog-to-digital converter (ADC) stage for use in ADCs, comprising:an amplifier having first and second input terminals, and an output terminal to provide an analog ADC residue signal; first and second capacitances coupled to sample an input voltage signal and a complemented input voltage signal respectively in response to a first clock phase; a level shifting circuit coupled to receive the input voltage signal, and to select one of a plurality of reference voltages in response to a second clock signal; a first switch circuit coupled to the first capacitance to provide the sampled input voltage signal to the first input terminal of the amplifier, and to couple the output terminal of the amplifier to the first capacitance via a feedback loop, in response to the second clock phase; a second switch circuit coupled to the second capacitance to provide an inverted version of the sampled complemented input voltage signal to the second input terminal of the amplifier and to reference the second capacitance to the selected reference voltage in response to the second clock phase; wherein the amplifier adds the input signal to the inverted version of the complemented input signal as shifted by the selected reference voltage to create the analog ADC residue signal for use in a subsequent ADC stage.
  • 2. The ADC stage as in claim 1, wherein the level shifting circuit comprises:a sub-ADC coupled to receive the input voltage signal, and to provide a digital code based on a voltage of the input voltage signal; a decoder circuit coupled to the sub-ADC to receive the digital code and to assert one of a plurality of switch signals in response thereto; and a plurality of switches, each coupled to a different one of the plurality of reference voltages; and wherein the asserted one of the switch signals closes a corresponding one of the plurality of switches to couple a corresponding one of the plurality of reference voltages to the second capacitance to add to the inverted version of the sampled complemented input voltage.
  • 3. The ADC stage as in claim 2, wherein the digital code is an n-bit binary code having 2n possible values, and wherein each of the 2n possible values enables a different one of the plurality of switch signals to be asserted by the decoder circuit.
  • 4. The ADC stage as in claim 2, wherein the digital code is a 1.5-bit binary code having three possible values, and wherein each of the three possible values enables a different one of the plurality of switch signals to be asserted by the decoder circuit.
  • 5. The ADC stage as in claim 1, wherein:the first capacitance comprises at least one capacitor having a top plate and a bottom plate; the top plate of the capacitor is coupled to a first reference voltage via the first switch circuit during the first clock phase, and to the first input terminal of the amplifier via the first switch circuit during the second clock phase; and the bottom plate of the capacitor is coupled to the input voltage signal through the first switch circuit during the first clock phase, and to the output terminal of the amplifier via the first switch circuit during the second clock phase.
  • 6. The ADC stage as in claim 1, wherein:the second capacitance comprises at least one capacitor having a top plate and a bottom plate; the top plate of the capacitor is coupled to a second reference voltage via the second switch circuit during the first clock phase, and to the second input terminal of the amplifier via the second switch circuit during the second clock phase; and the bottom plate of the capacitor is coupled to the complemented input voltage signal through the second switch circuit during the first clock phase, and to the reference voltage selected by the level shifting circuit via the second switch circuit during the second clock phase.
  • 7. The ADC stage as in claim 1, further comprising a reset circuit coupled to the amplifier to discharge residual charge present at one or more of the first and second input terminals and output terminal of the amplifier to clear a current analog ADC residue signal in preparation for output of a subsequent analog ADC residue signal.
  • 8. The ADC stage as in claim 7, wherein the reset circuit comprises a plurality of switches each coupled between a reference voltage and a different one of the first input terminal, second input terminal, and output terminal.
  • 9. The ADC stage as in claim 8, wherein the reset circuit further comprises a switch coupled between the first and second input terminals.
  • 10. The ADC stage as in claim 9, wherein each of the switches is closed in response to the first clock phase to enable the residual charge to be discharged to the reference voltage.
  • 11. The ADC stage as in claim 1, wherein the first and second capacitance comprise first and second capacitor components that are substantially electrically isolated from each other via an impedance between the first and second input terminals of the amplifier.
  • 12. The ADC stage as in claim 1, further comprising an inverter coupled to receive the input voltage signal and to generate the complemented input voltage signal.
  • 13. The ADC stage as in claim 1, wherein the input voltage signal and complemented input voltage signal comprise complementary input voltage signals of a differential input voltage signal.
  • 14. The ADC stage as in claim 1, wherein the amplifier is a single-ended operational amplifier.
  • 15. The ADC stage as in claim 1, further comprising:third and fourth capacitances coupled to sample the input voltage signal and the complemented input voltage signal respectively in response to the second clock phase; a second level shifting circuit coupled to receive the input voltage signal, and to select one of a plurality of second reference voltages in response to the first clock phase; a third switch circuit coupled to the third capacitance to provide the sampled input voltage signal to the first input terminal of the amplifier, and to couple the output terminal of the amplifier to the third capacitance via a second feedback loop, in response to the first clock phase; a fourth switch circuit coupled to the fourth capacitance to provide an inverted version of the sampled complemented input voltage signal to the second input terminal of the amplifier and to reference the fourth capacitance to the selected second reference voltage in response to the first clock phase; wherein the amplifier adds the input signal to the inverted version of the complemented input signal as shifted by the selected second reference voltage to create a second analog ADC residue signal for use in a subsequent ADC stage.
  • 16. A method for converting an analog input signal to a digital signal using an amplifier, the method comprising:(a) sampling the analog input signal onto a first capacitor and a complement of the analog input signal onto a second capacitor; (b) providing the sampled analog input signal at a first input terminal of the amplifier by controllably coupling the first capacitor between the amplifier output and the first input terminal in a unity gain feedback configuration; (c) providing the sampled complemented analog input signal, level shifted by one of a plurality of selectable reference voltages, at a second input terminal of the amplifier by controllably coupling the second capacitor between a selected one of the reference voltages and the second input terminal of the amplifier; and (d) adding the sampled analog input signal to an inverted version of the sampled complemented analog input signal and subtracting the selected one of the reference voltages to provide a residue signal available for use in subsequent conversion stages.
  • 17. The method of claim 16, further comprising repeating steps (a)-(d) for each of the first M−1 stages of an M-stage analog-to-digital conversion having an N-bit resolution.
  • 18. The method of claim 17, further comprising resolving least significant bits of the digital signal in an M-th flash stage of the analog to digital conversion, by comparing the residue signal from the M−1 stage to a set of predetermined reference voltages.
  • 19. The method of claim 18, wherein the set of predetermined reference voltages comprises 2n=1 reference voltages, wherein n corresponds to a resolution of the M-th stage.
  • 20. The method of claim 19, further comprising resolving N−M bits at the M-th stage of the analog-to-digital conversion having the N-bit resolution.
  • 21. The method of claim 16, wherein the analog input signal and the complemented analog input signal comprise two signals of a differential signal pair.
  • 22. The method of claim 16, further comprising inverting the analog input signal create the complemented analog input signal.
  • 23. The method of claim 16, further comprising providing a multi-phase clock signal including a first clock phase and a second clock phase, and wherein step (a) is performed during the first clock phase and steps (b), (c), and (d) are performed during the second clock phase.
  • 24. The method of claim 23, wherein controllably coupling the first capacitor between the amplifier output and the first input terminal comprises activating one or more switches coupled between the amplifier output and the first input terminal to complete a circuit path therebetween in response to a transition of the second clock phase.
  • 25. The method of claim 24, further comprising activating one or more sampling switches coupled between the analog input signal and a reference voltage in response to a first transition of the first clock phase, and deactivating the sampling switches in response to a second transition of the first clock phase.
  • 26. The method of claim 23, wherein controllably coupling the second capacitor between a selected one of the reference voltages and the second input terminal of the amplifier comprises activating one or more switches coupled between the selected one of the reference voltages and the second input terminal of the amplifier to complete a circuit path therebetween in response to a transition of the second clock phase.
  • 27. The method of claim 26, further comprising activating one or more sampling switches coupled between the selected one of the reference voltages and the second input terminal of the amplifier in response to a first transition of the first clock phase, and deactivating the sampling switches in response to a second transition of the first clock phase.
  • 28. An analog-to-digital converter (ADC) stage for use in converting a differential analog input signal to a digital signal, comprising:a first single-ended amplifier arranged in a unity feedback configuration; first and second sampling means for sampling the differential analog input signal at a first time; first switch means coupled to the first and second sampling means and to the first amplifier for providing the sampled differential analog input signal to first and second input terminals of the first amplifier, and to provide a level-shift voltage to offset the sampled differential analog input signal at the second input terminal of the first amplifier, at a second time; a second single-ended amplifier arranged in a unity feedback configuration; third and fourth sampling means for sampling the differential analog input signal at the first time; second switch means coupled to the third and fourth sampling means and to the second amplifier for providing the sampled differential analog input signal to first and second input terminals of the second amplifier, and to provide a level-shift voltage to offset the sampled differential analog input signal at the second input terminal of the second amplifier; and wherein the first and second amplifiers respectively add the respective sampled differential analog input signals and subtract the level-shift voltage, and collectively output a differential output signal at the second time.
  • 29. An analog-to-digital converter (ADC) stage for use in differential ADCs, comprising:(a) a first sample and hold circuit, comprising: (1) a first single-ended amplifier having first and second input terminals, and an output terminal to output a first half of a differential residue signal; (2) a first sampling circuit comprising first and second capacitors to respectively store first and second voltages of a differential input signal at a first time; (3) a first switch circuit coupled to the first amplifier and to the first sampling circuit to switch the first capacitor between the first amplifier's output terminal and its first input terminal, and to switch the second capacitor between a selectable level-shift voltage and the first amplifier's second input terminal; (4) wherein the first amplifier adds the first and second voltages, subtracts a selected one of the selectable level-shift voltages, and outputs the first half of the differential residue signal at a second time; (b) a second sample and hold circuit, comprising: (1) a second single-ended amplifier having first and second input terminals, and an output terminal to output a second half of the differential residue signal; (2) a second sampling circuit comprising third and fourth capacitors to respectively store the second and first voltages of the differential input signal at the first time; (3) a second switch circuit coupled to the second amplifier and to the second sampling circuit to switch the third capacitor between the second amplifier's output terminal and its first input terminal, and to switch the fourth capacitor between the selectable level-shift voltage and the second amplifier's second input terminal; and (4) wherein the second amplifier adds the second and first voltages, subtracts a selected one of the selectable level-shift voltages, and outputs the second half of the differential residue signal at the second time.
  • 30. An algorithmic analog-to-digital converter (ADC) to convert an input voltage signal to a digital data signal, comprising:(a) an ADC stage to receive the input voltage signal and to create an analog ADC residue signal, the ADC stage comprising: (1) an amplifier having first and second input terminals, and an output terminal; (2) first and second capacitances coupled to sample the input voltage signal and a complemented input voltage signal respectively in response to a first clock phase; (3) a first switch circuit coupled to the first capacitance to provide the sampled input voltage signal to the first input terminal of the amplifier, and to couple the output terminal of the amplifier to the first capacitance via a feedback loop, in response to a second clock phase; (4) a second switch circuit coupled to the second capacitance to provide an inverted version of the sampled complemented input voltage signal to the second input terminal of the amplifier in response to the second clock phase; (5) a sub-ADC circuit coupled to receive the input voltage signal, and in response, to provide a digital data subset of the digital data signal; (6) a decoder coupled to the sub-ADC circuit to receive the digital data subset and to select one of a plurality of reference voltages to add to the inverted version of the complemented input voltage in response thereto; (7) wherein the amplifier outputs the analog ADC residue signal by adding the sampled input voltage signal to the inverted version of the sampled complemented input voltage as shifted by the level shifting circuit; and (b) a feedback loop to provide the analog ADC residue signal as the input voltage signal to the ADC stage for N−1 additional cycles of an N-cycle analog-to-digital conversion.
  • 31. The algorithmic ADC as in claim 30, further comprising a final flash stage coupled to the ADC stage to receive the analog ADC residue signal from the ADC stage corresponding to the N−1 cycle of the N-cycle analog-to-digital conversion, and to provide a least significant digital data subset of the digital data signal.
  • 32. The algorithmic ADC as in claim 31, further comprising an accumulation circuit to accumulate each of the digital data subsets to create the digital data signal.
  • 33. The algorithmic ADC as in claim 32, wherein the accumulation circuit comprises a digital error correction (DEC) circuit to add together each of the digital data subsets and to concatenate the least significant digital data subset to create the digital data signal.
  • 34. A pipelined analog-to-digital converter (ADC) to convert an input voltage signal to a digital data signal, comprising:(a) a plurality of N−1 pipelined ADC stages, wherein a first pipelined ADC stage receives the input voltage signal, and the remaining N−1 pipelined ADC stages receive an analog ADC residue signal from a prior ADC stage as its input voltage signal, each of the plurality of ADC stages comprising: (1) an amplifier having first and second input terminals, and an output terminal; (2) first and second capacitances coupled to sample the input voltage signal and a complemented input voltage signal respectively in response to a first clock phase; (3) a first switch circuit coupled to the first capacitance to provide the sampled input voltage signal to the first input terminal of the amplifier, and to couple the output terminal of the amplifier to the first capacitance via a feedback loop, in response to a second clock phase; (4) a second switch circuit coupled to the second capacitance to provide an inverted version of the sampled complemented input voltage signal to the second input terminal of the amplifier in response to the second clock phase; (5) a sub-ADC circuit coupled to receive the input voltage signal, and in response, to provide a digital data subset of the digital data signal; (6) a decoder coupled to the sub-ADC circuit to receive the digital data subset and to select one of a plurality of reference voltages to add to the inverted version of the complemented input voltage in response thereto; (7) wherein the amplifier outputs the analog ADC residue signal by adding the sampled input voltage signal to the inverted version of the sampled complemented input voltage as shifted by the level shifting circuit; and (b) an Nth pipelined ADC stage coupled to the N−1 ADC stage to resolve least significant bits of the digital data signal.
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