Non-linear function in an early-sampled hybrid multi-level converter amplifier system
A system may include an analog loop filter comprising a plurality of analog integrators, the analog loop filter configured to receive an analog signal input and a feedback output signal, at least one sampler for sampling outputs of the analog integrators, a second loop filter coupled between an output of an analog pulse-width modulation driver and a digital pulse-width modulation controller, wherein the second loop filter comprises at least one integrator and is configured to receive sampled outputs of the analog integrators from the at least one sampler and receive a feedback pulse-width modulation signal from the analog pulse-width modulation driver, and a correction subsystem configured to apply a non-linear function to a signal path of the second loop filter in order to compensate for non-linearity introduced as a result of sampling outputs of the analog integrators.
1 . A system comprising:
an analog loop filter comprising a plurality of analog integrators, the analog loop filter configured to receive an analog signal input and a feedback output signal;
at least one sampler for sampling outputs of the analog integrators;
a second loop filter coupled between an output of an analog pulse-width modulation driver and a digital pulse-width modulation controller, wherein the second loop filter comprises at least one integrator and is configured to:
receive sampled outputs of the analog integrators from the at least one sampler; and
receive a feedback pulse-width modulation signal from the analog pulse-width modulation driver; and
a correction subsystem configured to apply a non-linear function to a signal path of the second loop filter in order to compensate for non-linearity introduced as a result of sampling outputs of the analog integrators.
2 . The system of claim 1 , wherein the at least one sampler is configured to independently sample outputs of the analog integrators.
3 . The system of claim 1 , wherein the at least one sampler comprises at least one analog-to-digital converter.
4 . The system of claim 3 , wherein the at least one analog-to-digital converter is configured to independently sample outputs of the analog integrators.
5 . The system of claim 3 , wherein the at least one analog-to-digital converter samples multiple samples of the outputs of the analog integrators during each pulse-width modulation frame associated with the signal path of the analog signal input.
6 . The system of claim 1 , wherein the non-linear function applies a correction term to the feedback pulse-width modulation signal to provide higher-order noise shaping in the signal path of the analog signal input.
7 . The system of claim 1 , wherein:
the plurality of analog integrators comprises a first analog integrator configured to receive an error signal based on the analog signal input and the feedback output signal and a second analog integrator configured to receive an output of the first analog integrator; and
the non-linear function is based on multiple samples of the second analog integrator sampled during each pulse-width modulation frame associated with the signal path of the analog signal input.
8 . The system of claim 7 , wherein the non-linear function is based on weights applied to each of the multiple samples.
9 . The system of claim 1 , wherein:
the plurality of analog integrators comprises a first analog integrator configured to receive an error signal based on the analog signal input and the feedback output signal and a second analog integrator configured to receive an output of the first analog integrator; and
the non-linear function applies a correction term to sampled output of the first analog integrator.
10 . The system of claim 1 , wherein:
the second loop filter is a digital loop filter; and
the at least one integrator of the digital loop filter comprises at least one digital integrator.
11 . A method comprising, in a system having an analog loop filter comprising a plurality of analog integrators, the analog loop filter configured to receive an analog signal input and a feedback output signal, at least one sampler for sampling outputs of the analog integrators, and a second loop filter coupled between an output of an analog pulse-width modulation driver and a digital pulse-width modulation controller, wherein the second loop filter comprises at least one integrator and is configured to receive sampled outputs of the analog integrators from the at least one sampler and receive a feedback pulse-width modulation signal from the analog pulse-width modulation driver:
applying a non-linear function to a signal path of the second loop filter in order to compensate for non-linearity introduced as a result of sampling outputs of the analog integrators.
12 . The method of claim 11 , wherein the at least one sampler is configured to independently sample outputs of the analog integrators.
13 . The method of claim 11 , wherein the at least one sampler comprises at least one analog-to-digital converter.
14 . The method of claim 13 , wherein the at least one analog-to-digital converter is configured to independently sample outputs of the analog integrators.
15 . The method of claim 13 , wherein the at least one analog-to-digital converter samples multiple samples of the outputs of the analog integrators during each pulse-width modulation frame associated with the signal path of the analog signal input.
16 . The method of claim 11 , wherein the non-linear function applies a correction term to the feedback pulse-width modulation signal to provide higher-order noise shaping in the signal path of the analog signal input.
17 . The method of claim 11 , wherein:
the plurality of analog integrators comprises a first analog integrator configured to receive an error signal based on the analog signal input and the feedback output signal and a second analog integrator configured to receive an output of the first analog integrator; and
the non-linear function is based on multiple samples of the second analog integrator sampled during each pulse-width modulation frame associated with the signal path of the analog signal input.
18 . The method of claim 17 , wherein the non-linear function is based on weights applied to each of the multiple samples.
19 . The method of claim 11 , wherein:
the plurality of analog integrators comprises a first analog integrator configured to receive an error signal based on the analog signal input and the feedback output signal and a second analog integrator configured to receive an output of the first analog integrator; and
the non-linear function applies a correction term to sampled output of the first analog integrator.
20 . The method of claim 11 , wherein:
the second loop filter is a digital loop filter; and
the at least one integrator of the digital loop filter comprises at least one digital integrator.