Cascaded integrated comb filter with fractional integration
A cascaded integrator comb filter includes a first integrator that receives an input signal x[n] and provides an integrated signal, and a fractional integrator that also receives the input signal x[n] and provides a fractional integrated signal. A summer sums the integrated signal and the fractional integrated signal and provides a summed signal indicative thereof to a second integrator, which receives and integrates the summed signal to provide a second integrator output signal. A decimator unit receives the second integrator output signal and provides a decimated signal to a differentiator that receives the decimated signal and provides a differentiated signal.
1. A cascaded integrator comb filter, comprising:
a first integrator that receives an input signal x[n] and provides an integrated signal;
a fractional integrator that receives the input signal x[n] and provides a fractional integrated signal;
a summer that sums the integrated signal and the fractional integrated signal and provides a summed signal indicative thereof;
a decimator unit that receives the summed signal and provides a decimated signal; and
a differentiator that receives the decimated signal and provides a differentiated signal.
2. The cascaded integrator comb filter of claim 1 , where the decimator comprises a resettable accumulator.
3. The cascaded integrator comb filter of claim 1 , further comprising a timer circuit that provides the fractional integrator with an output signal for calculating a fractional time increment (α).
4. The cascaded integrator comb filter of claim 3 , where the fractional integrator is configured to approximate the area under an interpolated signal between the input signal value and a second value.
5. The cascaded integrator comb filter of claim 4 , where the second value is an interpolated value corresponding to the fractional time increment (α).
6. The cascaded integrator comb filter of claim 3 , further comprising a multiplier configured to receive the output signal from the timer circuit.
7. The cascaded integrator comb filter of claim 3 , further comprising a sampler that samples the summed signal under the control of the timer circuit.
8. The cascaded integrator comb filter of claim 1 , wherein the fractional integrator comprises a scaling circuit.
9. The cascaded integrator comb filter of claim 1 , further comprising a second integrator serially coupled between the outputs of the first integrator and the fractional integrator and the decimator.
10. The cascaded integrator comb filter of claim 1 , where the differentiator comprises a first differentiator and second differentiator connected in series.
11. A cascaded integrator comb filter, comprising:
a first integrator that receives an input signal x[n] and provides an integrated signal;
a fractional integrator that receives the input signal x[n] and provides a fractional integrated signal;
a summer that sums the integrated signal and the fractional integrated signal and provides a summed signal indicative thereof;
a second integrator that receives and integrates the summed signal to provide a second integrator output signal;
a decimator unit that receives the second integrator output signal and provides a decimated signal; and
a differentiator that receives the decimated signal and provides a differentiated signal.
12. The cascaded integrator comb filter of claim 11 , where the differentiator comprises a first differentiator and a second differentiator connected in series, and the first differentiator receives the second integrator output signal and the second differentiator provides the differentiator signal.
13. The cascaded integrator comb filter of claim 12 , further comprising a timer that provides a first control signal to the fractional integrator and a second control signal to a sample and hold unit that receives an output from the summer to generate the summed signal.
14. The cascaded integrator comb filter of claim 13 , where the fractional integrator comprises a multiplier that multiplies the input signal with a control signal value to generate the fractional integrated signal.
15. The cascaded integrator comb filter of claim 13 , where the fractional integrator comprises a linear interpolator.
16. A cascaded integrator comb filter, comprising:
a first integrator that receives an input signal x[n] and provides an integrated signal;
a fractional integrator that receives the input signal x[n] and provides a fractional integrated signal;
a summer that sums the integrated signal and the fractional integrated signal and provides a summed signal indicative thereof;
a sample and hold unit that receives the summed signal and provides a sample and hold output signal;
a second integrator that receives and integrates the sample and hold output signal, and provides a second integrator output signal;
a decimator unit that receives the second integrator output signal and provides a decimated signal; and
a differentiator that receives the decimated signal and provides a differentiated signal;
a timer unit that provides a integrator control signal to the fractional integrator and sample and hold control signal to the sample and hold unit.
17. The cascaded integrator comb filter of claim 16 , where the fractional integrator comprises a multiplier that multiplies the input signal with a control signal value to generate the fractional integrated signal.
18. The cascaded integrator comb filter of claim 16 , where the fractional integrator comprises a linear interpolator.