Multi-channel high resolution blind image restoration

Abstract

We address the reconstruction problem of a high resolution image from its undersampled measurements across multiple FIR channels with unknown response. Our method consists of two stages: blind multi-input multi-output (MIMO) deconvolution using FIR filters and blind separation of mixed polyphase components. The proposed deconvolution method is based on the mutually referenced equalizers (MRE) algorithm previously developed for blind equalization in digital communications. For sources separation, a method is proposed for separating mixed polyphase components of a bandlimited signal. The existing blind source separation algorithms assume that the source signals are either independent or uncorrelated, which is not the case when the sources are polyphase components of a bandlimited signal. Simulation results on artificial and photographic images are given.