Infinite impulse response filters with dithering and methods of operation thereof
An infinite impulse response filter includes a plurality of lower order filter stages and a random number generator circuit. The plurality of lower order filter stages include a first filter stage coupled to a second filter stage. The random number generator circuit includes a first output coupled to the first filter stage and a second output coupled to the second filter stage. The random number generator circuit is configured to generate the same random value at both the first output and the second output. The infinite impulse response filter is an n th -order filter. The respective order of each of the lower order filter stages is less than n.
1. An infinite impulse response (IIR) filter comprising:
a plurality of lower order filter stages comprising a first filter stage coupled to a second filter stage; and
a random number generator circuit comprising a first output coupled to the first filter stage and a second output coupled to the second filter stage, the random number generator circuit configured to generate a same random value at both the first output and the second output, wherein the IIR filter is an nth-order filter, and wherein a respective order of each of the plurality of lower order filter stages is less than n.
2. The IIR filter according to claim 1 , wherein each of the plurality of lower order filter stages comprises a biquadratic filter.
3. The IIR filter according to claim 1 , wherein the plurality of lower order filter stages comprises a plurality of filters connected in a cascade configuration.
4. The IIR filter according to claim 1 , wherein the plurality of lower order filter stages comprises a plurality of filters connected in a parallel configuration.
5. The IIR filter according to claim 1 , wherein the IIR filter is a fixed point IIR filter.
6. The IIR filter according to claim 1 , wherein the plurality of lower order filter stages comprises a parametric equalizer.
7. An infinite impulse response (IIR) filter comprising:
a string of biquadratic filters comprising a first biquadratic filter coupled to a second biquadratic filter; and
a random number generator circuit coupled to the string of biquadratic filters, the random number generator circuit being configured to generate a same random value at both the first biquadratic filter and the second biquadratic filter.
8. The IIR filter according to claim 7 , wherein the IIR filter is an nth-order filter, n being greater than 2.
9. The IIR filter according to claim 7 , wherein the first biquadratic filter is a first-order filter, and wherein the IIR filter is an nth-order filter, n being odd.
10. The IIR filter according to claim 7 , wherein the string of biquadratic filters is connected in a cascade configuration.
11. The IIR filter according to claim 7 , wherein the string of biquadratic filters is connected in a parallel configuration.
12. The IIR filter according to claim 7 , wherein the IIR filter is a fixed point IIR filter.
13. The IIR filter according to claim 7 , wherein the IIR filter is a multichannel IIR filter comprising:
a first channel comprising the string of biquadratic filters; and
a second channel comprising an additional string of biquadratic filters that comprise a third biquadratic filter coupled to a fourth biquadratic filter, the random number generator circuit being further configured to generate the same random value at both the third biquadratic filter and the fourth biquadratic filter.
14. A method of filtering comprising:
generating a same random value at both a first lower order filter stage and a second lower order filter stage using a random number generator circuit;
dithering a first signal filtered by the first lower order filter stage using the same random value to form a dithered first signal; and
dithering a second signal filtered by the second lower order filter stage using the same random value.
15. The method according to claim 14 , wherein the second signal is the dithered first signal.
16. The method according to claim 14 , wherein the first signal and the second signal are analog signals.
17. The method according to claim 14 , wherein the first signal and the second signal are digital signals.
18. The method according to claim 14 , wherein the first lower order filter stage is connected to the second lower order filter stage as part of a plurality of lower order filter stages.
19. The method according to claim 14 , wherein the first lower order filter stage is part of a first channel of a multichannel infinite impulse response (IIR) filter, and wherein the second lower order filter stage is part of a second channel of the multichannel IIR filter.
20. The method according to claim 19 , wherein the first channel comprises additional first lower order filter stages connected to the first lower order filter stage, wherein the second channel comprises additional second lower order filter stages connected to the second lower order filter stage, and wherein generating the same random value comprises generating the same random value at all of the additional first lower order filter stages and the additional second lower order filter stages.