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Optimal design of two-channel nonuniform-division FIR filter banks with -1, 0, and +1 coefficients

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2 Author(s)
Ju-Hong Lee ; Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan ; Ding-Chiang Tang

This paper deals with the optimal design of two-channel nonuniform-division filter (NDF) banks whose linear-phase FIR analysis and synthesis filters have coefficients constrained to -1, 0, and +1 only. Utilizing an approximation scheme and a weighted least squares algorithm, we present a method to design a two-channel NDF bank with continuous coefficients under each of two design criteria, namely, least-squares reconstruction error and stopband response for analysis filters and equiripple reconstruction error and least-squares stopband response for analysis filters. It is shown that the optimal filter coefficients can be obtained by solving only linear equations. In conjunction with the proposed filter structure, a method is then presented to obtain the desired design result with filter coefficients constrained to -1, 0, and +1 only. The effectiveness of the proposed design technique is demonstrated by several simulation examples

Published in:

IEEE Transactions on Signal Processing  (Volume:47 ,  Issue: 2 )