Paraunitary oversampled filter bank design for channel coding

Abstract

Oversampled filter banks (OSFBs) have been considered for channelcoding, since their redundancy can be utilised to permit thedetection and correction of channel errors. In this paper, wepropose an OSFB-based channel coder for a correlated additiveGaussian noise channel, of which the noise covariance matrix isassumed to be known. Based on a suitable factorisation of thismatrix, we develop a design for the decoder's synthesis filterbank in order to minimise the noise power in the decoded signal,subject to admitting perfect reconstruction through paraunitarityof the filter bank. We demonstrate that this approach can lead toa significant reduction of the noise interference by exploitingboth the correlation of the channel and the redundancy of thefilter banks. Simulation results providing some insight into thesemechanisms are provided. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved.