Novel Approach for the Design of Half-Band Filter

摘要

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~(-12)dB due to the high spectral factorization accuracy, while the traditional method is only 4 × 10~(-3)dB.The ratio of signal to noise and the signal reconstruction error of all phase PR-QMF is four times higher and 10~9 lower than traditional PR-QMF respectively.