NONUNIFORM FILTER BANKS - A RECONSTRUCTION AND DESIGN THEORY

This paper describes a general procedure for the design of analysis-synthesis systems based on nonuniform filter banks. The procedure is based on a time domain analysis of nonuniform systems which results in a set of conditions for the exact reconstruction of the input signal at the output. These conditions are used as part of a powerful iterative algorithm for designing FIR filter banks with an arbitrary nonuniform frequency resolution. This new framework allows for the design of systems with arbitrary rational decimation rates in different bands. Systems based on maximally or nonmaximally decimated filter banks, on low and minimum delay systems, and on block decimators are also among the systems that can be designed using this method.