Title :
A new method for the design of FIR quadrature mirror-image filter banks
Author :
Lu, Wu-Sheng ; Xu, Hua ; Antoniou, Andreas
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
fDate :
7/1/1998 12:00:00 AM
Abstract :
A new algebraic method for the design of two-channel finite-duration impulse response quadrature mirror-image filter (FIR QMF) banks is proposed. The method uses a self-convolution technique to reformulate a fourth-order objective function whose minimization lends to the design of QMF banks. It is shown that the reformulated optimization problem can be solved by an iterative technique in which the major part of each iteration is carried out in terms of a closed-form formula. This leads to improved computational efficiency relative to that in several existing design methods. The method is then extended to the design of QMF banks with low reconstruction delay. Two examples are included which show that the proposed design method leads to filter banks with improved performance
Keywords :
FIR filters; circuit optimisation; convolution; image reconstruction; iterative methods; minimisation; quadrature mirror filters; FIR quadrature mirror-image filter bank; algebraic method; computational efficiency; design; iterative technique; objective function minimization; optimization; reconstruction delay; self-convolution; Channel bank filters; Computational efficiency; Delay; Design methodology; Filter bank; Finite impulse response filter; Iterative algorithms; Minimization methods; Nonlinear filters; Time domain analysis;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on