The present invention relates to the field of analog-to-digital converters, in particular to the field of continuous-time delta-sigma analog-to-digital converters.
The ΔΣ ADC of
Thus, by selecting Lv properly, the noise transfer function (NTF) can be made high-pass or band-pass:
whereas the signal transfer function (STF) is a function of both Lu and Lv:
The loop filter can be implemented using active discrete time (DT) filters or active continuous time (CT) filters or even passive loop filters. If the NTF is selected having zeros at low frequencies (DC), the loop filter will be built up of integrators, which can be implemented using negative feedback amplifiers. The reason for using CT filters above their DT counterparts is that they provide anti-alias filtering, have no front-end sampling, no kT/C noise and theoretical speed advantages which lead to a lower power consumption at a given analog signal bandwidth.
Prior art in the implementation of the feedback DAC in CT modulators is to use a switched current (SI), or a switched capacitor (SC) to inject a well defined amount of charge to the summing node of the integrator.
In the SC feedback according to prior art (e.g.
In accordance with embodiments of the present invention, the inventors have provided for the design of continuous-time ΔΣ ADCs with relatively low sensitivity to clock jitter and loop delay.
According to a first aspect, there is provided a continuous-time delta-sigma (ΔΣ) analog-to-digital converter (ADC). The ΔΣ-ADC comprises a sampled quantizer arranged to generate samples y(n) of a digital output signal of the ΔΣ-ADC at sample instants nT, where n is an integer sequence index and T is a sampling period, based on an analog input signal to the quantizer. The ΔΣ-ADC further comprises two or more digital-to-analog converters (DACs) each arranged to generate an analog feedback signal based on the samples of the digital output signal generated by the sampled quantizer. Moreover, the ΔΣ-ADC comprises a continuous-time analog network arranged to generate the analog input signal to the quantizer based on the feedback signals from the two or more DACs and an analog input signal to the ΔΣ-ADC. At least a first DAC of the two or more DACs is adapted to generate a pulsed feedback signal that, for each n, comprises a pulse, the magnitude of which is proportional to the sample of the digital output signal at sample instant nT and which lasts between the time instants (n+α1)T and (n+≈1)T, wherein 0<α1<β1<1. Furthermore, at least a second DAC of the two or more DACs is adapted to generate a pulsed feedback signal that, for each n, comprises a pulse, the magnitude of which is proportional to the sample of the digital output signal at sample instant nT and which lasts between the time instants (n+α2)T and (n+β2)T, wherein 0<α2<1<β2. The first DAC is located in a first feedback loop and the second DAC is located in a second feedback loop, which is an outer feedback loop relative to the first feedback loop (i.e. a loop that has a higher order of integration than the first loop).
According to some embodiments, β1<0.9, such as but not limited to β1=0.625 or β1=0.75.
According to some embodiments, α1>0.1, such as but not limited to α1=0.125 or α1=0.25.
According to some embodiments, β2−α2=1.
According to some embodiments, at least one DAC of the two or more DACs comprises two switched-capacitor DACs. For each n, each of the two switched capacitor DACs may be arranged to be charged with a charge proportional to the corresponding sample y(n) of the digital output signal. Furthermore, for each n, a first of the switched capacitor DACs may be arranged to be switched in to the continuous-time analog network for transfer of its charge to the continuous-time analog network in a time interval that lasts between the time instants (n+α3)T and (n+β3)T. Similarly, for each n, a second of the switched capacitor DACs may be arranged to be switched in to the continuous-time analog network for transfer of its charge to the continuous-time analog network in a time interval that lasts between the time instants (n+α4)T and (n+β4)T. The following relations may apply: β4>1, 0<α3<α4 <β4<2 and α3<β3≦1.
In some embodiments, the first DAC may be located in said first feedback loop and the DAC comprising the two switched capacitor DACs may be located in another feedback loop, which is an outer feedback loop relative to the first feedback loop. In some embodiments, the second DAC is the DAC that comprises the two switched-capacitor DACs.
The continuous-time analog network may comprise a plurality of cascaded continuous-time integrators. A first one of the integrators may be arranged to receive a feedback signal from one of the DACs, connected to the first integrator, and the analog input signal of the ΔΣ-ADC as input signals. Each of the other integrators may be arranged to receive a feedback signal from one of the DACs, connected to that integrator, and an output signal of a preceding integrator as input signals.
A last one of the cascaded continuous-time integrators may be arranged to generate the analog input signal to the sampled quantizer.
According to a second aspect, there is provided a radio receiver circuit comprising the continuous-time ΔΣ-ADC according to the first aspect.
According to a third aspect, there is provided an integrated circuit comprising the continuous-time ΔΣ-ADC according to the first aspect.
According to a fourth aspect, there is provided a radio communication apparatus comprising the continuous-time ΔΣ-ADC according to the first aspect, the radio receiver circuit according to the second aspect, and/or the integrated circuit according to the third aspect.
The radio communication apparatus may e.g. be, but is not limited to, a mobile phone, a wireless data modem, or a radio base station.
Further embodiments are defined in the dependent claims. It should be emphasized that the term “comprises/comprising” when used in this specification is taken to specify the presence of stated features, integers, steps, or components, but does not preclude the presence or addition of one or more other features, integers, steps, components, or groups thereof.
Further objects, features and advantages of embodiments of the invention will appear from the following detailed description, reference being made to the accompanying drawings, in which:
In addition, the ΔΣ-ADC 1 comprises two or more digital-to-analog converters (DACs) 10a-b, each arranged to generate an analog feedback signal based on the samples of the digital output signal generated by the sampled quantizer 5 on output terminals 12a-b. Each of said two or more DACs may e.g. be of switched-current (e.g. similar to the SI feedback discussed with reference to
An example of how the continuous-time analog network 20 may be embodied is illustrated in
According to embodiments of the present invention, at least a first DAC (e.g. 10a, which is the reference sign used for the first DAC in the following) of the two or more DACs 10a-b is adapted to generate a pulsed feedback signal that, for each n, comprises a pulse (e.g. output electrical current pulse), the magnitude of which is proportional to the sample of the digital output signal at sample instant nT and which lasts between the time instants (n+α1)T and (n+β1)T, wherein 0<α1<β1<1. This is schematically illustrated in
According to embodiments of the present invention, at least a second DAC (e.g. 10b, which is the reference sign used for the second DAC in the following) of the two or more DACs 10a-b is adapted to generate a pulsed feedback signal that, for each n, comprises a pulse, the magnitude of which is proportional to the sample of the digital output signal at sample instant nT and which lasts between the time instants (n+α2)T and (n+β2)T, wherein 0<α2<1<β2. This is schematically illustrated in
The inventors have realized that the inner loop or loops (loops with relatively low order of integration) of continuous-time ΔΣ-ADC contributes more to the sensitivity to excess loop delay of the ΔΣ-ADC, because their impact on the impulse response of the cascade of feedback DAC and loop filter is the largest, and therefore changes the loop gain of the system the most. The inventors have realized that using a DAC such as the aforementioned first DAC 10a in such inner loop(s) alleviates this problem, since the impulse response of the cascade of feedback DAC and loop filter is less sensitive to a delay of such a feedback pulse. Thereby, the loop gain is affected less, making the closed loop performance of the ΔΣ-ADC more robust to such delays. In some embodiments, a memoryless feedback path may be included, i.e. with one DAC whose output contributes directly (i.e. without integration) to the analog input signal of the sampled quantizer. Referring to
In addition, the inventors have realized that the outer loop or loops (loops with relatively high order of integration) of continuous-time ΔΣ-ADC may be sensitive to clock jitter and thermal noise since such errors from the outermost loops have less noise shaping than the inner loops when referred to the output of the ΔΣ-ADC. The inventors have realized that using a DAC such as the aforementioned second DAC 10b in such outer loop(s) alleviates this problem, since they feed back the lowest average current and thereby gives the optimum thermal noise performance and clock jitter sensitivity. In combination, these measures provide reduced requirements on the gain bandwidth of the integrating amplifiers of the innermost loop and the best noise performance of the outermost loop. The present invention therefore facilitates increased sampling rates giving either increased bandwidth or dynamic range of the ΔΣ-ADC at a low cost. Alternatively, the reduced sensitivity to loop delay can be utilized to reduce the power consumption by reducing the excess bandwidth of the integrating amplifiers commonly introduced to guarantee stability in presence of process variations and mismatch.
Accordingly, in some embodiments of the present invention, the first DAC 10a is located in a first feedback loop and the second DAC 10b is located in a second feedback loop, which is an outer feedback loop relative to the first feedback loop (i.e., which has a higher order of integration than the first feedback loop). For example, the first loop may be the innermost loop, i.e. a loop with first order integration. Furthermore, the second loop may be the outermost loop, i.e. the loop with the highest order integration.
Even though the timing of the feedback pulses can be chosen arbitrary in principal there are practical restrictions coming from the time required to avoid quantizer metastability, and the complexity of the clocking scheme.
The decision time of the quantizer requires us to choose the start point of all feedback pulses significantly after the quantizer sampling instant nT (nT<<(n+αk)T for all k, for example αk>0.1). The exact timing depends on the clocking scheme. For a two phase (0, 180 degree) clocking scheme, a natural starting point (i.e. (n+αk)T) is (n+0.5)T, while if a four phase clocking scheme is available, (n+0.25) T may be chosen, and eight phases would facilitate a starting point of (n+0.125)T.
While the inventors have not found any particular advantage of having different starting 5 points for different feedback pulses, the selection of the endpoint on the other hand, has been found to influence the sensitivity to clock jitter and loop delay, as well as the thermal noise performance of the DAC. It yields the best noise performance to maximize the relative feedback pulse duration (β−α). Therefore, according to some embodiments, in the outermost loops, which contribute a lot to the overall noise performance of the ΔΣ-ADC, (β−α)=1 is chosen. Thus, depending on the available clock scheme, natural end points for the outermost loops would be (n+β2)T=(n+1+0.5)T, (n+1+0.25)T or (n+1+0.125)T. The inventors have further found that the sensitivity to loop delay is reduced if the innermost DAC pulse end point is significantly earlier than the succeeding quantizer sampling instant, i.e. β1<<1, for example β1<0.9. A convenient choice for most RZ (return to zero) clocking schemes is to have 50% duty cycle for the innermost feedback pulses, resulting in end points of (n+β1)T=(n+0.5+0.5)T, (n+0.5+0.25)T or (n+0.5+0.125)T, depending on the clock scheme. An important remark here is of course that (n+0.5+0.5)Ts equals the timing of the succeeding sampling instant and therefore yields no improved sensitivity to loop delay. Thus, at least a four phase clocking scheme is needed.
Alternatively, when any clocking scheme is used, arbitrary starting points may be accomplished by using delay elements, such as an inverter or a plurality of cascaded inverters (depending on what delay is desired) to generate delayed clock pulses of other delays than those naturally provided by the clock phases of a particular clocking scheme (e.g. four-phase or eight phase). However, such a delay would have to be relatively exact, or well defined, in order not to change the transfer function of the loop, and it is typically easier to get a high precision in the clock delay by using the already well defined clock phases naturally provided by the particular clocking scheme.
The inventors have realized that a DAC, which is used for feedback in a continuous-time ΔΣ-ADC, can be advantageously implemented using two switched capacitor DACs (as subcomponents) that share a common output and operate on the same input but with a mutual delay in time. Hence, the two switched-capacitor DACs (subcomponents) are thus arranged to together act as a single combined DAC, which is different from e.g. two switched-capacitor DACs that have separate individual outputs and/or are arranged to operate on different inputs. Hence, according to some embodiments of the present invention, at least one DAC of the two or more DACs 10a-b comprises two switched-capacitor (SC) DACs (as sub components). Embodiments of such DACs are illustrated in
According to some embodiments, the aforementioned DAC comprising the two SC DACs (as subcomponents) is the second DAC 10b (in which case α3=α2 and (β4=β2), as is also indicated with reference signs 10b used in
In some embodiments, the DAC comprising the two SC DACs is located in a feedback loop, which is an outer feedback loop (i.e. a feedback loop of higher order) relative to the first feedback loop.
In the SC feedback according to
A resistor (with resistance 2R) is connected in series with each one of the switched capacitors to control the time constant (RC) of its discharge and the peak of the output current I=V/(2R). In
For someone skilled in the art it is straightforward to extend the 1-bit switched capacitor DACs shown in
The first 40 and the second 50 SC DAC together generate an overall DAC impulse response as exemplified in
Using a two-phase (0 and 180 degrees) clock scheme can yield the following timing of the feedback pulses: α3=0.5, (β3=α4=1, and β4=1.5. Since the charging of the switched capacitor DACs will take place from (n−1+β3)T to (n+α3)T and (n−1+β4)T to (n+α4)T the first of the switched capacitor DACs 40 will charge with a charge proportional to the sample of the digital output signal at sample instant nT in the same time interval as the second of the switched capacitor DACs 50 is discharging its charge proportional to the sample of the digital output signal at the preceding sample instant (n−1)T.
Using a four-phase (0, 90, 180, and 270 degrees) clock scheme could e.g. yield the following timing of the feedback pulses: α3=0.25, β3=α4=1, and β4=1.75. Since the sum of the discharge time intervals of the first and second of the switched capacitor DACs 40 is greater than the sampling interval T, there will be some overlap between the discharge time intervals of the first and second of the switched capacitor DACs 50, in this case from (n+0.25)T to (n+0.75)T, for all n.
When the discharge time intervals of the first and second of the switched capacitor DACs is not overlapping, as is the case for the two-phase clock scheme above, the series resistor can be shared between the first 40 and second 50 of the switched capacitor DACs, as shown in
According to some embodiments, a radio receiver circuit comprises the continuous-time ΔΣ-ADC 1. This is schematically illustrated in
According to some embodiments, an integrated circuit comprises the continuous-time ΔΣ-ADC 1. This is schematically illustrated in
In some embodiments, a radio communication apparatus comprises the continuous-time ΔΣ-ADC 1. For example, the radio communication apparatus may comprise a radio receiver circuit, such as the radio receiver circuit 100 and/or an integrated circuit, such as the integrated circuit 200, that in turn comprises the ΔΣ-ADC 1.
Non-limiting examples of such radio communication apparatuses are a mobile phone, a wireless data modem, and a radio base station.
The present invention has been described above with reference to specific embodiments. However, other embodiments than the above described are possible within the scope of the invention. For example, in addition to the types of DACs described, other types of DACs, e.g. using other pulse durations, may be used as well for some of the two or more DACs. The different features of the embodiments may be combined in other combinations than those described. The scope of the invention is only limited by the appended patent claims.
Number | Date | Country | Kind |
---|---|---|---|
11189058 | Nov 2011 | EP | regional |
Filing Document | Filing Date | Country | Kind | 371c Date |
---|---|---|---|---|
PCT/SE2012/000168 | 10/29/2012 | WO | 00 | 5/1/2014 |
Number | Date | Country | |
---|---|---|---|
61560363 | Nov 2011 | US |