Robust M-channel biorthogonal filter banks

Abstract

Phoong and Vaidyanathan (1994) and Phoong et al. introduced a new class of two-channel biorthogonal filter banks. The two-channel systems enjoy many desirable properties. The present paper makes an attempt to generalize the previous results to the M-channel case while preserving the desired properties. The proposed M-channel filter banks have the advantage of low computational complexity. The perfect reconstruction (PR) property is structurally guaranteed, and therefore PR is preserved even when all the parameters are quantized to a finite precision. The new design method allows to design one filter at a time sequentially which is more efficient than designing all M filters simultaneously. Therefore one can control the characteristic of every subband filter separately. These filter banks may find applications where different properties of different subbands are desired.<>