Efficient Multirate Filtering

Contents	Abstract	Conclusion	Figures	FREE software
Introduction	Conversion	Narrow-Band	Half-Band	MATLAB Scipts

List of Figures

1. Three types of filter specifications for sampling rate conversion by factor M.
2. Efficient decimation filter for N=15 and M=3.
3. Efficient interpolation filter for N=15 and L=3.
4. Decimation and interpolation in frequency domain. Type (a) filter specification.
5. Decimation and interpolation in frequency domain. Type (c) filter specification.
6. Block diagram of (a) decimator and (b) interpolator for M = L = 2.
7. Efficient structures for (a) decimator and (b) interpolator with M=L=2.
8. Decimation and interpolation in frequency domain. M=L=2.
9. Multistage filter: decimator, kernel filter, and interpolator.
10. Magnitude responses of multistage filter.
11. Multistage lowpass filter.
12. Frequency response masking approach. Narrow-band filter design.
13. Gain in dB of periodic model filter, masking filter and narrow-band filter.
14. FIR linear phase complementary filter pair.
15. Block diagram of the FIR filter synthesized using the frequency-response masking approach.
16. Frequency response masking of complementary filters.
17. Gain response of FIR filter synthesized using frequency-response masking approach.
18. Block diagram of IIR filter synthesized using the frequency response masking approach.
19. Gain response of IIR filter synthesized using frequency-response masking approach.
20. Magnitude response of half-band FIR filter.
21. Magnitude response of half-band IIR filter.
22. Design curves for IIR and FIR half-band filters.
23. Plot of number of multiplications as a function of normalized stopband edge frequency and minimum stopband attenuation.
24. Attenuation of the example filters: 9th-order half-band IIR filter, solid line; and 62nd-order half-band FIR filters, dashed line.
25. Two-channel analysis IIR filter bank
26. Plot of DTFT of input and decimated output sequences of lowpass and highpass half-band FIR filters.
27. Plot of DTFT of input and decimated output sequences of lowpass and highpass half-band IIR filters.
28. Block diagram of multiplierless lowpass and highpass half-band IIR filter.
29. DTFT of the lowpass half-band filter output; input and output sinusoidal sequences represented in the (7+1)-bit two's complement form: and (9+1)-bit two's complement representation of sequences at internal nodes, amplitude of input sequence is 1/2 (solid line) and 1/16 (dotted line); (14+1)-bit two's complement representation of sequences at internal nodes, dashed line.

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Last updated September 9, 2008