Title :
Design of phase response of IIR all pass filter and its application in biorthogonal filter banks and wavelet bases
Author :
Xiaobing, Xiong ; Eryuan, Zhao
Author_Institution :
Dept. of Telecommun. Eng., Beijing Univ. of Posts & Telecommun., China
Abstract :
This paper presents a new method for the design of the phase response of an IIR all pass filter. The fast algorithm, which is based on the least square error criterion, is derived, furthermore, its application is further discussed in the fields of biorthogonal filter banks and wavelets bases. A novel framework for a new class of two channel biorthogonal filter banks is presented. The design of the analysis/synthesis systems induces the design of the phase response of a single all pass filter. It has some merits such as high-frequency selectivity, low computation complexity and structurally perfect reconstruction etc. The biorthogonal wavelet bases with high-regularity generated by the biorthogonal filter banks are illustrated
Keywords :
IIR filters; all-pass filters; band-pass filters; digital filters; filtering theory; least squares approximations; signal reconstruction; signal synthesis; wavelet transforms; IIR all pass filter; all pass filte; analysis/synthesis systems; biorthogonal filter banks; biorthogonal wavelet bases; fast algorithm; high frequency selectivity; least square error; low computation complexity; phase response design; structurally perfect reconstruction; Channel bank filters; Design engineering; Design methodology; Eigenvalues and eigenfunctions; Filter bank; Finite impulse response filter; Frequency; IIR filters; Least squares approximation; Signal processing algorithms;
Conference_Titel :
Signal Processing, 1996., 3rd International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-2912-0
DOI :
10.1109/ICSIGP.1996.566971
