Novel approach for the design of half-band filter

Authors:
Xiaohong Huang;Zhaohua Wang
Affiliations:
College of information, Hebei Polytech University, Tangshan, China;School of Electronic and Information Engineering, Tianjin University, Tianjin, China
Venue:
ICICA'10 Proceedings of the First international conference on Information computing and applications
Year:
2010

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Multirate systems and filter banks

Multirate systems and filter banks
Flat magnitude response FIR halfband low/high pass digital filters with narrow transition bands

Digital Signal Processing

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Abstract

A novel design method of all phase frequency sampling filter are proposed, and can be used to design half-band filter according to the length of filter. Because the amplitude frequency response of this kind of half-band filter is between 0 and 1, no negative, so can be spectral factorized directly to get analysis filter of all phase PR-QMF. The power complementary of the analysis filter is up to 4×10-12dB due to the high spectral factorization accuracy, while the traditional method is only 4×10-3dB. The ratio of signal to noise and the signal reconstruction error of all phase PR-QMF is four times higher and 109 lower than traditional PR-QMF respectively.