Method and apparatus to reduce internal circuit errors in a multi-bit delta-sigma modulator
An N-bit delta-sigma modulator reduces circuit errors associated with an internal N-bit digital-to-analog converter by replacing the N-bit digital-to-analog converter with a digital feedback circuit comprising a ternary digital-to-analog converter and an (N−1)-bit digital-to-analog converter. The internal N-bit digital-to-analog converter is typically used to generate a global feedback signal that is provided to a first summation circuit. To provide an equivalent function but with better noise transfer characteristics, the digital feedback circuit generates two feedback signals. The ternary digital-to-analog converter is part of a first feedback path that generates a first feedback signal for the first summation circuit, and the (N−1)-bit digital-to-analog converter is part of a second feedback path that generates a second feedback signal for the first summation circuit or a subsequent summation circuit.
1. A multi-bit delta-sigma modulator comprising:
a first summation circuit configured to generate a first intermediate signal based on a summation of a first set of signals including a modulator input signal and a first feedback signal;
a first integrator circuit configured to integrate the first intermediate signal to generate a first integrated signal;
a second summation circuit configured to generate a second intermediate signal based on a weighted sum of a second set of signals including the first integrated signal and a second feedback signal;
a filter circuit configured to process the second intermediate signal to generate a filtered signal, wherein the filter circuit includes a second integrator circuit;
a quantizer configured to digitize the filtered signal to generate an N-bit modulator output signal, wherein N is an integer greater than one; and
a feedback circuit configured to receive the N-bit modulator output signal and to generate the first feedback signal and the second feedback signal using a ternary digital-to-analog converter and an (N−1)-bit digital-to-analog converter, respectively.
2. The multi-bit delta-sigma modulator of claim 1 , wherein the feedback circuit further comprises:
an (N−1)-bit accumulator configured to receive (N−1) least significant bits of the N-bit modulator output signal to generate an (N−1)-bit cumulative sum signal and a 1-bit carry signal, wherein the (N−1)-bit cumulative sum signal is coupled to an input of the (N−1)-bit digital-to-analog converter; and
a 1-bit adder configured to receive a most significant bit of the N-bit modulator output signal and the 1-bit carry signal to generate a 2-bit ternary signal that is coupled to an input of the ternary digital-to-analog converter.
3. The multi-bit delta-sigma modulator of claim 1 , wherein the second set of signals further includes a third feedback signal.
4. The multi-bit delta-sigma modulator of claim 3 , further comprising an N-bit digital-to-analog converter configured to receive the N-bit modulator output signal and to generate the third feedback signal.
5. The multi-bit delta-sigma modulator of claim 1 , wherein the filter circuit further comprises a third summation circuit configured to generate a third intermediate signal based on a weighted sum of a third set of signals including an output of the second integrator circuit and an input of the second integrator circuit.
6. The multi-bit delta-sigma modulator of claim 1 , wherein the filter circuit further comprises a third summation circuit configured to generate a third intermediate signal based on a weighted sum of a third set of signals including an output of the second integrator circuit and an output of the second summation circuit.
7. The multi-bit delta-sigma modulator of claim 1 , wherein the first integrator circuit and the second integrator circuit are discrete-time integrators, each of the discrete-time integrators comprising a differential switch-capacitor integrator comprising a pair of input capacitors, a differential operational amplifier, a pair of feedback capacitors and a plurality of switches controlled by a plurality of clock signals.
8. The multi-bit delta-sigma modulator of claim 1 , wherein the first integrator circuit and the second integrator circuit are continuous-time integrators.
9. The multi-bit delta-sigma modulator of claim 1 , wherein the filter circuit further comprises at least one additional summation circuit and at least one additional integrator circuit to increase an order of the multi-bit delta-sigma modulator.
10. The multi-bit delta-sigma modulator of claim 1 , wherein the ternary digit-to-analog converter is implemented in a differential circuit topology comprising a first 3-to-1 multiplexer to generate a positive end of a differential signal and a second 3-to-1 multiplexer to generate a negative end of the differential signal, a 2-bit input signal to the ternary digital-to-analog converter is provided to select lines of the multiplexers, and three reference voltages are provided in a different order to input terminals for each of the multiplexers.
11. The multi-bit delta-sigma modulator of claim 1 , wherein the first summation circuit is combined with the first integrator circuit in a single differential switch-capacitor circuit comprising a first pair of capacitors for coupling to the modulator input signal, a second pair of capacitors for coupling to an output the ternary digital-to-analog converter, a pair of feedback capacitors, a differential operational amplifier and a plurality of switches controlled by a plurality of clock signals.
12. The multi-bit delta-sigma modulator of claim 1 , wherein the second summation circuit is combined with the second integrator circuit in a single switch-capacitor circuit and the weighted sum of the second set of signals is implemented by setting a capacitor ratio in the single switch-capacitor circuit.
13. A method of suppressing circuit errors in a multi-bit delta-sigma modulator, the method comprising:
performing a first weighted summation on a first set of signals including a modulator input signal and a first feedback signal to generate a first intermediate signal;
integrating the first intermediate signal to generate a first integrated signal;
performing a second weighted summation on a second set of signals including the first integrated signal and a second feedback signal to generate a second intermediate signal;
filtering the second intermediate signal to generate a filtered signal;
digitizing the filtered signal to generate an N-bit modulator output signal, wherein N is an integer greater than one;
performing a cumulative summation on (N−1) least significant bits of the N-bit modulator output signal to generate an (N−1)-bit sum signal and a 1-bit carry signal; and
adding the 1-bit carry signal to a most significant bit of the N-bit modulator output signal to generate a 2-bit ternary signal; and
converting the 2-bit ternary signal into the first feedback signal using a ternary digital-to-analog converter.
14. The method of claim 13 , further comprising converting the (N−1)-bit sum signal into the second feedback signal using a feedback path comprising an (N−1)-bit digital-to-analog converter.
15. The method of claim 13 , wherein the step of performing a cumulative summation on (N−1) least significant bits of the N-bit modulator output signal further comprises:
using an (N−1)-bit adder to add the (N−1) least significant bits of the N-bit modulator output signal with the (N−1)-bit sum signal; and
delaying an output of the (N−1)-bit adder to generate the (N−1)-bit sum signal.
16. The method of claim 13 , wherein the second set of signals further comprises a third feedback signal generated by performing a digital-to-analog conversion of the N-bit modulator output signal.
17. The method of claim 13 , wherein filtering the second intermediate signal comprises performing an integration of the second intermediate signal.
18. A multi-bit delta-sigma modulator comprising:
means for processing a modulator input signal with at least a first feedback signal, a second feedback signal and a compensation signal to generate a filtered signal, wherein the compensation signal comprises at least one of the following: a third feedback signal and a feed forward signal;
means for digitizing the filtered signal to generate an N-bit modulator output signal, wherein N is an integer greater than one;
means for performing a cumulative summation on (N−1) least significant bits of the N-bit modulator output signal to generate an (N−1)-bit sum signal and a 1-bit carry signal;
means for adding the 1-bit carry signal to a most significant bit of the N-bit modulator output signal to generate a 2-bit ternary signal; and
means for converting the 2-bit ternary signal into the first feedback signal.
19. The multi-bit delta-sigma modulator of claim 18 , further comprising means for converting the (N−1)-bit sum signal into the second feedback signal.
20. The multi-bit delta-sigma modulator of claim 18 , further comprising means for converting the N-bit modulator output signal into the third feedback signal.