Systems and methods for variable rate conversion
View Patent ↗Poly-phase filters are used to offer an efficient and low complexity solution to rate conversion. However, they suffer from inflexibility and are not easily reconfigured. A novel design for rate converters employ poly-phase filters but utilize interpolation between filter coefficients to add flexibility to rate conversion. This interpolation can be implemented as an interpolation of the poly-phase filter results. Additional approximations can be made to further reduce the amount of calculations required to implement a flexible rate converter.
1. A flexible rate converter comprising:
a poly-phase filter having an nominal input sampling rate, an output sampling rate and a plurality of phases, each phase corresponding to a phase index and comprising a plurality of filter coefficients based on the nominal input sampling rate and the output sampling rate; and
an approximator configured to approximate the poly-phase filter at a phase offset derived from an input sample, the approximator comprising:
an interpolator that interpolates between results produced by the poly-phase filter with phase indices near the phase offset; and
a first small fraction approximator which uses a result produced by the poly-phase filter using a first phase index which is nearest and less than the phase offset when the distance between the first phase index and phase offset is less than a first predetermined threshold.
2. The flexible rate converter of claim 1 , wherein the interpolator is a linear interpolator.
3. The flexible rate converter of claim 1 , wherein the interpolator is a cubic interpolator.
4. A flexible rate converter comprising
a poly-phase filter having an nominal input sampling rate, an output sampling rate and a plurality of phases, each phase corresponding to a phase index and comprising a plurality of filter coefficients based on the nominal input sampling rate and the output sampling rate; and
an approximator configured to approximate the poly-phase filter at a phase offset derived from an input sample, the approximator comprising:
an interpolator that interpolates between results produced by the poly-phase filter with phase indices near the phase offset; and
a second small fraction approximator which uses a result produced by the poly-phase filter using a second phase index which is nearest and greater than the phase offset when the distance between the second phase index and phase offset is less than a second predetermined threshold.
5. A flexible rate converter comprising:
a poly-phase filter having an nominal input sampling rate, and an output sampling rate and a plurality of subfilters, each subfilter comprising a plurality of phases, each phase corresponding to a phase index and comprising a plurality of filter coefficients based on the nominal input sampling rate and the output sampling rate; and
means for approximating each poly-phase subfilter at phase offsets derived from an input sample, wherein the means for approximating comprises:
a first small fraction approximator which uses a result produced by the poly-phase filter using a first phase index which is nearest and less than the phase offset when the distance between the first phase index and phase offset is less than a first predetermined threshold; and
a second small fraction approximator which uses a result produced by the poly-phase filter using a second phase index which is nearest and greater than the phase offset when the distance between the second phase index and phase offset is less than a second predetermined threshold.
6. The flexible rate converter of claim 5 , wherein the means for approximating comprises a means for interpolating between results produced by each poly-phase subfilter with phase indices near the phase offset.
7. The flexible rate converter of claim 5 , wherein means for interpolating uses linear interpolation or cubic interpolation.
8. A flexible rate converter comprising:
a poly-phase filter having an nominal input sampling rate, and an output sampling rate and a plurality of subfilters, each subfilter comprising a plurality of phases, each phase corresponding to a phase index and comprising a plurality of filter coefficients based on the nominal input sampling rate and the output sampling rate; and
means for approximating each poly-phase subfilter at phase offsets derived from an input sample;
wherein the approximator uses a result produced by the poly-phase filter using a first phase index nearest and less than the phase offset when the distance between the phase index and phase offset is less than a predetermined threshold;
wherein the approximator uses a result produced by the poly-phase filter using a second phase index nearest and greater than the phase offset when the distance between the phase index and phase offset is less than a predetermined threshold; and
wherein the approximator interpolates between the results produced by the poly-phase filter, otherwise.
9. A method of flexible rate conversion having at least one poly-phase subfilter comprising:
for each poly-phase subfilter having a delay line:
determining a phase offset;
advancing the delay line with an input sample if necessary;
applying an approximation of the poly-phase subfilter at the phase offset to produce a result; and
adding together the results from applying the approximation of all the poly-phase subfilters;
wherein the applying of the approximation of the poly-phase subfilter comprises:
determining a phase index, i, a fractional part and nearby phase indices; and
performing one of the following steps:
using the results produced by the poly-phase subfilter at the phase index if the fractional part is less than a first predetermined threshold;
using the results produced by the poly-phase subfilter at i+1 if the fractional part is greater than the second predetermined threshold; and
interpolating between results produced by the poly-phase subfilter at the nearby phase indices based on the fractional part otherwise.
10. The method of claim 9 , wherein the applying the approximation of the poly-phase subfilter comprises:
determining a phase index, i, a fractional part and nearby phase indices; and
interpolating between results produced by the poly-phase subfilter at the nearby phase indices based on the fractional part.
11. The method of claim 10 , wherein the interpolating between results is linearly interpolating between result produced by the poly-phase subfilter at the phase index and the result produced by the poly-phase subfilter at i+1.
12. The method of claim 10 , wherein the interpolating between results is interpolating with cubic interpolation between result produced by the poly-phase subfilter at i+1, result produced by the poly-phase subfilter at i, result produced by the poly-phase subfilter at i+1, result produced by the poly-phase subfilter at i+2.
13. The method of claim 9 , wherein the interpolating between results is linearly interpolating between result produced by the poly-phase subfilter at the phase index and the result produced by the poly-phase subfilter at i+1.
14. The method of claim 9 , wherein the interpolating between results is interpolating with cubic interpolation between result produced by the poly-phase subfilter at i−1, result produced by the poly-phase subfilter at i, result produced by the poly-phase subfilter at i+1, result produced by the poly-phase subfilter at i+2.
15. A method of flexible rate conversion having at least one poly-phase subfilter comprising:
for each poly-phase subfilter having a delay line:
determining a phase offset;
advancing the delay line with an input sample if necessary;
applying an approximation of the poly-phase subfilter at the phase offset to produce a result; and
adding together the results from applying the approximation of all the poly-phase subfilters;
wherein the poly-phase filter comprises only one poly-phase subfilter.