A generic approach to the design of M-channel uniform-band perfect-reconstruction linear-phase FIR filter banks

Abstract

A generic approach is presented for the design of uniform-band M-channel (M/spl ges/2) perfect-reconstruction FIR filter banks employing linear-phase analysis and synthesis filters. The technique designs on the impulse responses of the analysis filters directly. The design problem is formulated as a quadratic programming problem. The perfect reconstruction feature of the filter bank can either be implicitly enforced through a set of mathematical relationships among the analysis filters' coefficients, or through a set of constraints in the optimization program. The former approach results in a filter bank whose PR (perfect reconstruction) feature's dependency on hardware and software is eliminated or, at least minimized. The criterion for optimality is least-squares.