EURASIP Journal on Applied Signal Processing 
Volume 2006 (2006), Article ID 31346, 10 pages
doi:10.1155/ASP/2006/31346

Paraunitary Oversampled Filter Bank Design for Channel Coding

Stephan Weiss,1 Soydan Redif,1 Tom Cooper,2 Chunguang Liu,1 Paul D. Baxter,2 and John G. McWhirter2

 1Communications Research Group, School of Electronics and Computer Science, University of Southampton, Southampton SO17 1BJ, United Kingdom
2Advanced Signal and Information Processing Group, QinetiQ Ltd, Malvern, Worcestershire WR14 3PS, United Kingdom
Received 20 September 2004; Revised 25 July 2005; Accepted 26 July 2005

Abstract

Oversampled filter banks (OSFBs) have been considered for channel coding, since their redundancy can be utilised to permit the detection and correction of channel errors. In this paper, we propose an OSFB-based channel coder for a correlated additive Gaussian noise channel, of which the noise covariance matrix is assumed to be known. Based on a suitable factorisation of this matrix, we develop a design for the decoder's synthesis filter bank in order to minimise the noise power in the decoded signal, subject to admitting perfect reconstruction through paraunitarity of the filter bank. We demonstrate that this approach can lead to a significant reduction of the noise interference by exploiting both the correlation of the channel and the redundancy of the filter banks. Simulation results providing some insight into these mechanisms are provided.