Title :
Design of perfect reconstruction QMF banks: a parameterization method
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Abstract :
This paper describes a two-step filter bank design method that (1) parameterizes, for a given lowpass analysis filter of order N, all lowpass synthesis filters of order M that will form 2-channel, linear-phase, perfect reconstruction QMF filter banks in terms of a ´free´ parameter vector in the null-space of a matrix characterized by the impulse response of the given lowpass analysis filter; and (2) utilizes this parameter vector to shape up the frequency response of the lowpass synthesis filter using a quadratic programming technique.
Keywords :
FIR filters; band-pass filters; delay circuits; filtering theory; frequency response; low-pass filters; quadratic programming; quadrature mirror filters; signal reconstruction; transient response; 2-channel filter bank; FIR filter bank; QMF banks; design method; free parameter vector; impulse response; linear-phase filter bank; lowpass analysis filter; lowpass synthesis filter; matrix null-space; parameterization method; perfect reconstruction filter banks; quadratic programming; quadrature mirror filter; two-step filter bank; Channel bank filters; Delay systems; Design methodology; Design optimization; Digital signal processing; Filter bank; Finite impulse response filter; Frequency response; Quadratic programming; Shape;
Conference_Titel :
Signals, Systems and Computers, 1996. Conference Record of the Thirtieth Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-8186-7646-9
DOI :
10.1109/ACSSC.1996.599164
