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Paraunitary Oversampled Filter Bank Design for Channel Coding

  • Stephan WeissEmail author
  • Soydan Redif
  • Tom Cooper
  • Chunguang Liu
  • Paul D Baxter
  • John G McWhirter
Open Access
Research Article
Part of the following topical collections:
  1. Frames and Overcomplete Representations in Signal Processing, Communications, and Information Theory

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.

Keywords

Covariance Information Technology Covariance Matrix Gaussian Noise Quantum Information 

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Copyright information

© Weiss et al. 2006

Authors and Affiliations

  • Stephan Weiss
    • 1
    Email author
  • Soydan Redif
    • 1
  • Tom Cooper
    • 2
  • Chunguang Liu
    • 1
  • Paul D Baxter
    • 2
  • John G McWhirter
    • 2
  1. 1.Communications Research Group, School of Electronics and Computer ScienceUniversity of SouthamptonSouthamptonUnited Kingdom
  2. 2.Advanced Signal and Information Processing GroupQinetiQ LtdMalvernUnited Kingdom

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