General method for perfect reconstruction subband processing of finite length signals using linear extensions

摘要

A general approach to the nonexpansive M band decomposition of finite length signals is presented. The technique is based on linear signal extensions and can be applied to all types of linear- and nonlinear phase M-band perfect-reconstruction filter banks. The signal expansion is described by a linear transformation on the input signal, and the extended subband samples can be easily found using simple matrix computations.