Title :
A closed-form solution for the design of complex FIR filters and its application to filter banks
Author :
Zhu, Wei-Ping ; Ahmad, M. Omair ; Swamy, M.N.S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
In this paper, the least-square design problem of complex FIR filters with arbitrary frequency response characteristics is investigated. A closed-form solution is obtained by solving the approximation problem analytically, enabling a very fast calculation of the impulse response of the filter to be designed. An application of the derived solution to QMF bank design is explored. By using the Butterworth approximation to obtain an IIR filter for the analysis part and by employing the closed-form solution to approximate a nonlinear-phase FIR filter for the synthesis part, a class of nearly perfect-reconstruction QMF bank is developed. It is shown that the mixed IIR/FIR filter bank not only has a very good reconstruction performance but also enjoys an extremely low design complexity
Keywords :
Butterworth filters; FIR filters; frequency response; least squares approximations; network synthesis; quadrature mirror filters; Butterworth approximation; IIR filter; closed-form solution; complex FIR filter; frequency response; impulse response; least-square design; nonlinear-phase FIR filter; perfect-reconstruction QMF filter bank; Application software; Channel bank filters; Closed-form solution; Digital filters; Electronic mail; Filter bank; Finite impulse response filter; Frequency response; IIR filters; Signal processing;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.612763
