Modulation and Sampling Techniques for Multichannel Deconvolution

Abstract

The problem recovering information from single component linear translation invariant systems is inherently ill-posedness may be circumvented in a multichannel system if the components of the system satisfy the strongly coprime condition. The signal may be completely recovered from a strongly coprime system by filtering the output of each channel with a deconvolver, and adding. This approach has been labeled multichannel deconvolution.We explore the state of the art for the multichannel theory. We then use sampling theory to develop an alternative method for creating these systems. Modulation techniques are then used to create a strongly coprime system, for which the corresponding deconvolvers are developed. We close by discussing several applications of the theory.