Theory and Design of Multidimensional Two-Channel Near-Perfect-Reconstruction Modulated Filter Banks

This article addresses the problem of designing twochannel near-perfect-reconstruction filter banks over multidimensional lattices. First, a cosine-modulated filter structure having arbitrary spatial shift and phase parameters is considered. The use of this structure leads to many possible two-channel multirate systems. The perfect reconstruction conditions are studied and appropriate choices for the parameters of the cosinemodulated structure are obtained. A simple but efficient unconstrained procedure for designing (possibly linear phase) near-perfect-reconstruction filter banks having good frequency responses (with arbitrary shapes) is proposed. A 2D design example is presented. The filter banks obtained can be used in transmultiplexers as well as in subband coders. 1. INTRODUCTION Since the beginning of multirate theory, the two-channel case has played an important role in perfect reconstruction (PR) systems. Usually, one prototype filter (low-pass) is considered in the design an..