Open Access

Paraunitary Oversampled Filter Bank Design for Channel Coding

  • Stephan Weiss1Email author,
  • Soydan Redif1,
  • Tom Cooper2,
  • Chunguang Liu1,
  • Paul D Baxter2 and
  • John G McWhirter2
EURASIP Journal on Advances in Signal Processing20062006:031346

https://doi.org/10.1155/ASP/2006/31346

Received: 20 September 2004

Accepted: 26 July 2005

Published: 16 March 2006

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.

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Authors’ Affiliations

(1)
Communications Research Group, School of Electronics and Computer Science, University of Southampton
(2)
Advanced Signal and Information Processing Group, QinetiQ Ltd

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Copyright

© Weiss et al. 2006