1. Field of the Invention
The present invention relates to electronics. More specifically, the present invention relates to folding amplifiers and analog to digital converters.
2. Description of the Related Art
Analog to digital converters are widely used for converting analog signals to corresponding digital signals for many electronic circuits. For example, a large dynamic range, high-speed analog to digital converter (ADC) may find application in communications, radar, electronic warfare, and medical electronics applications. In the field of analog to digital conversion, there continue to be many driving goals, such as speed, increased number of bits (relating to dynamic range and spur-free operation), power consumption, and size. Two of the most critical specifications remain speed and dynamic range.
Numerous methods exist for performing analog to digital conversion. The fastest ADC architecture is called “flash” conversion. A flash ADC produces an X-bit digital output in one step using a comparator bank comprised of 2X−1 parallel comparators. Flash ADCs, however, need a large number of comparators that typically require large areas and have high power consumption. In practice, this architecture is limited in dynamic range to about 8 bits, since the number of comparators grows rapidly as the number of bits X becomes larger.
Folding analog to digital converters provide for an integrated circuit approach to a high speed, moderate dynamic range encoder. The use of folding amplifiers enables folding ADCs to achieve the speed of flash ADCs while reducing the number of components required with a commensurate reduction in power consumption. Folding ADCs are therefore particularly well suited for low power applications. A folding ADC typically employs a folding amplifier with a number of folding stages to process an analog input signal by generating a transfer function that divides the input signal range into a number of linear segments. A folding ADC processes “fine bits” and “coarse bits” in parallel. The folding amplifier takes the input signal, divides the input range into 2N segments (where N is the number of coarse bits), and maps all 2N ranges onto a single range. All coarse information is thus lost at this point. The resulting signal is then processed to find the fine bit information. This is typically accomplished using a flash converter with 2M−1 parallel comparators (where M is the number of fine bits, and X=M+N is the total number of bits for the analog to digital conversion). Thus, by using a folding amplifier, only 2M−1 comparators are needed instead of 2M+N−1. The coarse bit information is derived in parallel, by determining which of the 2N segments contains the input. The coarse and fine bits are then combined to form the final digital output word.
A folding amplifier is typically implemented with a plurality of cross-coupled differential pairs, each differential pair having one transistor coupled to the input signal and the other transistor coupled to a reference voltage, each differential pair coupled to a different reference voltage such that the voltage levels are equally spaced. With folding ADCs, it is desirable to generate as many bits of the final output word as possible in the folding stages. There is, however, a limit on the number of bits that can be implemented in the folding stages because significant errors are generated when the separation between reference voltages is reduced from the optimum separation. This folding stage limit in turn limits the overall dynamic range of the ADC if the total errors including harmonic distortion (THD) levels are to be consistent with the dynamic range.
Hence, there is a need in the art for an improved folding ADC having a larger dynamic range than prior art systems.
The need in the art is addressed by the resolution enhanced folding amplifier of the present invention. The novel folding amplifier includes a first circuit for receiving an input signal and a plurality of reference signals and in accordance therewith generating a plurality of differential signals, a second circuit for receiving the differential signals and in accordance therewith generating first and second output signals for each differential signal, and a third circuit for combining selected output signals to generate a folding signal. The first circuit is implemented using a plurality of differential gain stages that drive the second circuit, comprised of a plurality of folding stages. The gain of the differential gain stages and the separation between reference signals is chosen such that adjacent folding stages do not conduct simultaneously.
Illustrative embodiments and exemplary applications will now be described with reference to the accompanying drawings to disclose the advantageous teachings of the present invention.
While the present invention is described herein with reference to illustrative embodiments for particular applications, it should be understood that the invention is not limited thereto. Those having ordinary skill in the art and access to the teachings provided herein will recognize additional modifications, applications, and embodiments within the scope thereof and additional fields in which the present invention would be of significant utility.
Returning to
Each folding stage 120 includes a differential pair of transistors: Q1 and Q2 in the first stage 120A, Q3 and Q4 in the second stage 120B, and Q5 and Q6 in the third stage 120C. The base of the first transistor (Q1, Q3, and Q5), hereinafter called the input transistor, of each differential pair is coupled to the input signal Vin. The base of the second transistor (Q2, Q4, and Q6), hereinafter called the reference transistor, of each differential pair is coupled to a reference voltage source (VREF1, VREF2, and VREF3, respectively). Each differential pair is supplied with a different reference voltage such that the voltage levels are equally spaced by a voltage corresponding to the value of one LSB apart. The emitters of the two transistors in each differential pair are coupled together and connected to a current source (labeled 122A in the first folding stage 120A, 122B in the second stage 120B, and 122C in the third stage 120C) of value I.
The collectors of one of the transistors (Q1, Q4, and Q5) of the differential pairs are all coupled to a first summing node 124, while the collectors of the other transistors (Q2, Q3, and Q6) of the differential pairs are all coupled to a second summing node 126. The connections of consecutive folding stages are alternated such that, if in one folding stage the reference transistor has its collector coupled to the first summing node 124, in the adjacent folding stage, the reference transistor has its collector coupled to the second summing node 126. Thus, the folding stages form a ladder of cross-coupled differential pairs.
The first summing node 124 is connected to ground through a resistor R1, and the second summing node 126 is connected to ground through a resistor R2. The output Vout of the folding amplifier 114 is taken from the voltage difference between the first and second summing nodes 124 and 126.
A numerical example will now be given to illustrate the operation of the folding amplifier 114. For the purposes of this discussion, the range of Vin is set between −2 V to +2 V (this is reasonable for high speed applications). Let VREF1=250 mV, VREF2=500 mV, and VREF3=750 mV. Therefore, for an LSB of the folding stage equal to 0.25 V and an input range of +/− 2 V or 4 V total, there are 4 divided by 0.25 or 16 levels, which is consistent with a 4-bit word (remember that only three folding stages are shown in
Let the input voltage Vin=125 mV. The voltages at the base of Q1, Q3, and Q5 are equal to Vin=125 mV, the voltage at the base of Q2 is equal to VREF1=250 mV, the voltage at the base of Q4 is equal to VREF2=500 mV, and the voltage at the base of Q6 is equal to VREF3=750 mV. Therefore, Q1 is off (having a collector current IQ1=0), Q2 is on (having a collector current IQ2=I), Q3 is off (having a collector current IQ3=0), Q4 is on (having a collector current IQ4=I), Q5 is off (having a collector current IQ5=0), and Q6 is on (having a collector current IQ6=I).
The current I1 through the resistor R1 is equal to the sum of the collector currents of the transistors coupled to the first summing node 124. Thus, I=IQ1+IQ4+IQ5=0+I+0=I. The current 12 through the resistor R2 is equal to the sum of the collector currents of the transistors coupled to the second summing node 126. Thus, I2=IQ2+IQ3+IQ6=I+0+I=2I.
Let Vin=187.5 mV. Now Q1 is ¼ on, Q2 is ¾ on, Q3 is off, Q4 is on, Q5 is off, and Q6 is on. Therefore, I1=¼ I+I+0=1¼ I and I2=¾ I+0+I=1¾ I.
Now let Vin=250 mV. Since the base voltages on Q1 and Q2 are equal, each transistor is on and conducting an equal current of I/2. So, Q1 is ½ on, Q2 is ½ on, Q3 is off, Q4 is on, Q5 is off, and Q6 is on. Therefore, I1=½I+I+0=1½ I and I2=½I+0+I=1½ I.
Let Vin=312.5 mV. Now Q1 is ¾ on, Q2 is ¼ on, Q3 is off, Q4 is on, Q5 is off and Q6 is on. Therefore, I1=¾ I+I+0=1¾ I and I2=¼ I+0+I=1¼ I.
Let Vin=375 mV. Now Q1 is on, Q2 is off, Q3 is off, Q4 is on, Q5 is off, and Q6 is on. Therefore, I1=I+I+0=2 I and I2=0+0+I=I.
Let Vin=437.5 mV. Now Q1 is on, Q2 is off, Q3 is ¼ on, Q4 is ¾ on, Q5 is off, and Q6 is on. Therefore, I1=I+¾ I+0=1¾ I and I2=0+¼ I+I=1¼ I.
Let Vin=500 mV. Q1 is on, Q2 is off, Q3 is ½ on, Q4 is ½ on, Q5 is off, and Q6 is on. Therefore I1=I+½ I+0=1½ I and I2=0+½I+I=1½ I.
Let Vin=562.5 mV. Now Q1 is on, Q2 is off, Q3 is ¾ on, Q4 is ¼ on, Q5 is off, and Q6 is on. Therefore, I1=I+¼ I+0=1¼ I and I2=0+¾I+I=1¾ I.
Lastly, let Vin=625 mV. Now Q1 is on, Q2 is off, Q3 is on, Q4 is off, Q5 is off and Q6 is on. Therefore, I1=I+0+0=I and I2=0+I+I=2I.
The output voltage Vout is given by Vout=I2R2−I1R1. Letting R1=R2=R, Vout=R(I2−I1). R and I are selected to provide optimum speed, distortion, accuracy and voltage gain. For this example, Vout is scaled to be +/− 1 V. Table 1 gives sample values for I1, I2, and Vout for various values of Vin. The values from Table 1 are used in the graph of Vout vs. Vin of
A folding ADC using the conventional folding amplifier implementation of
For the previous example, the reference voltages were set with an optimal separation of ΔVREF=250 mV, which provides the optimum output voltage swing. As designed, the gain of the folding amplifier is G=Vout/ΔVREF=2 V/ 0.25=8, and the input voltage Vin is constrained to be +/−2 V.
In order to add more folding stages to increase the dynamic range of the ADC, the reference voltage separation ΔVREF must be decreased. Decreasing ΔVREF, however, has a detrimental effect on the transfer characteristic of the folding amplifier. This occurs because adjacent folding stages begin to conduct at the same time (i.e., a differential pair begins to switch before the subsequent pair completely switched). This, in turn, causes I1 and I2 to be limited in their swing, which reduces the output voltage swing, Vout. In effect, the gain of the folding stage is reduced. In fact, if ΔVREF is reduced from 250 mV to 125 mV, the output Vout goes to 0 V and the folding amplifier becomes a perfect attenuator.
Since the output errors VERROR can be reflected to the input Vin by the equation Vin=VERROR/G, as the gain G drops the equivalent errors are increased. Not only has the gain G of the folding stage decreased with a reduction of ΔVREF but also there is a clipping of the waveform that occurs because the adjacent folding stages are conducting as is shown in
The present invention includes a novel folding amplifier that allows for the addition of more folding stages while simultaneously keeping the adjacent folding stages from conducting. This is necessary for optimal performance. The key to this invention is the addition of non-saturating differential output matched gain stages preceding each folding stage. These matched gain stages allow a significant increase to the dynamic range of the ADC while also maintaining the required accuracy and keeping the THD levels appropriate for the extended dynamic range.
Each folding stage includes a differential pair of transistors: Q1 and Q2 in the first stage 20A, Q3 and Q4 in the second stage 20B, and Q5 and Q6 in the third stage 20C. The emitters of the two transistors in each differential pair are coupled together and connected to a current source (labeled 22A in the first folding stage 20A, 22B in the second stage 20B, and 22C in the third stage 20C) of value I.
In accordance with the teachings of the present invention, the folding amplifier 14 further includes a plurality of differential amplifiers 28, a differential amplifier of gain K preceding each folding stage (in the example of
The folding stages 20 are identical to the folding stages 120 of the prior art folding amplifier 114, except the inputs to the folding stages 20 are now the differential outputs from the differential amplifiers 28, instead of the input signal Vin and reference voltages as with the prior art. The positive output terminal of the differential amplifier (labeled 30A in the first differential amplifier 28A, 30B in the second differential amplifier 28B, and 30C in the third differential amplifier 28C) is coupled to the base of the first transistor (Q1, Q3, and Q5, respectively), hereinafter called the positive transistor, of the differential pair of each folding stage (20A, 20B, and 20C, respectively). The negative output terminal of the differential amplifier (labeled 32A in the first differential amplifier 28A, 32B in the second differential amplifier 28B, and 32C in the third differential amplifier 28C) is coupled to the base of the second transistor (Q2, Q4, and Q6, respectively), hereinafter called the negative transistor, of the differential pair of each folding stage (20A, 20B, and 20C, respectively).
The collectors of one of the transistors (Q1, Q4, and Q5) of the differential pairs are all coupled to a first summing node 24, while the collectors of the other transistors (Q2, Q3, and Q6) of the differential pairs are all coupled to a second summing node 26. The connections of consecutive folding stages are alternated such that, if in one folding stage the positive transistor has its collector coupled to the first summing node 24, in the adjacent folding stage, the positive transistor has its collector coupled to the second summing node 26. The first summing node 24 is connected to ground through a resistor R1, and the second summing node 26 is connected to ground through a resistor R2. The output Vout of the folding amplifier 14 is taken from the voltage difference between the first and second summing nodes 24 and 26.
Each folding stage 20 is adapted to receive the differential output of the preceding differential amplifier 28 and in accordance therewith, output first and second output signals at the collectors of the positive and negative transistors, respectively, such that the first output signal gradually transitions from a first level to a second level over a specific voltage range of the input signal Vin, and the second output signal transitions from the second level to the first level inversely to the first output signal. Each folding stage 20 is adapted to respond to a different input voltage range (as determined by the reference voltage levels input to the differential amplifiers 28). As discussed below, the novel folding amplifier 14 of the present invention exhibits the same performance as the prior art folding amplifier 114, but allows for the addition of more folding stages without adding distortion.
First, let the gain K of the differential amplifiers 28 be equal to ½. Since the output of the differential amplifier 28 is differential, setting K=½ is equivalent to a stage gain of unity. The differential voltage VDIFF1 output from the differential amplifier 28 is given by VDIFF1=2K(Vin−VREF1). For K=½, VDIFF1 is therefore equal to the difference between the input voltage Vin and the reference voltage VREF1. The differential voltages VDIFF1 are input to the differential pairs of the folding stages 20. In the prior art folding amplifier 114, as shown in
Table 2 shows the differential voltages (the differences between the base voltages VB) across the transistors Q1 and Q2, Q3 and Q4, and Q5 and Q6 in the prior art folding amplifier 114, and compares them to the differential voltages VDIFF1, VDIFF2 and VDIFF3 output from the differential amplifiers 28 (which is subsequently input to the folding stages 20) in the folding amplifier 14 of the present invention, with the gain K set to ½, VREF1=250 mV, VREF2=500 mV, and VREF3=750 mV. (In the illustrative example, once the differential voltage input to a folding stage is greater than 125 mV or lower than −125 mV, it ceases to impact the output, as noted by an asterisk (*) in Table 2.) The differential voltages seen at the input of the folding stages are identical for both cases.
Now, set the gain K to 1, and decrease the reference voltage separation ΔVREF between VREFi and VREFi+1 from 250 mV to 125 mV (which could not be done with the prior art implementation without adding distortion to the system output). Table 3 shows the resulting differential voltages VDIFFi for various inputs Vin. The differential voltages VDIFFi seen at the inputs to the folding stages 20 are the same as in the prior example. Adjacent folding stages 20 therefore do not conduct at the same time, and the gain reduction and clipping problems of the prior art implementation are eliminated.
By decreasing the reference voltage separation ΔVREF and maintaining the same VDIFFi, the folding amplifier 14 of the present invention can have double (or quadruple or more) the number of folding stages while maintaining the same ideal transfer function of the folding stages. This allows the folding stages 20 to provide more bits to the total conversion process without increasing the distortion products, thereby increasing the useful dynamic range of the ADC.
It is easy to see that the number of folding stages 20 could be doubled again by simply increasing the gain stage to K=2. By doing this, the dynamic range of the ADC would increase by 2 bits in comparison with the conventional folding ADC. In the prior configuration the ADC was limited to N=4 and M=4 (a total of 8 bits). Utilizing the configuration of the present invention with N=6 and M=4 results in an ADC with a dynamic range extended to ten-bit performance. This is done with virtually no reduction in performance.
The differential gain stages 28 must be designed to be non-saturating and limiting so that they introduce no distortion products themselves. This, however, is not difficult with the modest gains required.
Thus, the folding amplifier 14 of the present invention utilizes a differential output gain stage (28A, 28B, and 28C) prior to each folding stage (20A, 20B, and 20C, respectively). This permits the reference voltages to be reduced without increasing non-linearities and subsequent distortion products. By reducing the reference voltage levels, more folding stages may be added which will extend the dynamic range of the ADC. The reference voltages, which were previously inputs to each differential pair, have been moved forward to be an input to each of the differential gain stages. The differential outputs of the gain stages now drive the differential pairs in this enhanced implementation.
Thus, the present invention has been described herein with reference to a particular embodiment for a particular application. Those having ordinary skill in the art and access to the present teachings will recognize additional modifications, applications and embodiments within the scope thereof. While the invention has been described with reference to an analog to digital conversion application, the invention is not limited thereto. The novel folding amplifier may be used in other applications without departing from the scope of the present teachings.
It is therefore intended by the appended claims to cover any and all such applications, modifications and embodiments within the scope of the present invention.
Accordingly,
This application claims the benefit of U.S. Provisional Application No. 60/512,645, filed Oct. 20, 2003, the disclosure of which is hereby incorporated by reference.
Number | Date | Country | |
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60512645 | Oct 2003 | US |