On the statistically optimum FIR filter bank design

Abstract

The paper is concerned with the analysis and design of statistically optimum FIR filter banks. In such systems, the analysis/synthesis system and the subband quantizers are designed jointly to provide the minimum distortion in the reconstructed signal. In the paper, a new approach to this problem is introduced. Using the time-domain formulation of Nayebi et al. [1992], the present authors derive a formula for the mean square error (MSE) of the output signal. The resulting formulation provides a general framework for the optimum filter bank design problem and includes previous reported formulations. This approach can be used to design the optimal filter bank and quantizers for a given wide sense stationary signal.<>