Analysis of Different Rational Decimated Filter Banks Derived From the Same Set of Prototype Filters

Abstract

This paper proposes the design and analysis of different rational decimated non-uniform filter banks (RDNUFBs), in which channels with different rational sampling factors are derived by merging the channels of an initial RDNUFB. The feasibility of the merged RDNUFB is analyzed in terms of frequency selectivity, aliasing cancellation, phase distortion, and amplitude distortion. The necessary conditions for the resultant filter bank to be alias free and to possess the linear phase property, are derived. The proposed reconfigurable RDNUFB is deployed to extract various communication standards in the software defined radio (SDR) channelizer, and is found to reduce the hardware complexity when compared to other filter bank based SDR channelizers, when a large number of channels are extracted.