Design of m-channel tree-structured filter banks with very low-complexity analysis filters

A class of M-channel tree-structured digital filter banks is considered with half-band IIR analysis filters and FIR synthesis filters. The filter banks approximate perfect reconstruction with an exact linear phase response and zero aliasing. This particular configuration has a very low-complexity analysis filter bank. In this paper we address the problem of minimizing the synthesis filter complexity, given the minimum-complexity analysis filters. The filter banks are designed using linear and nonlinear programming.