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Coset Codes for Partial Response Channels; or, Coset Codes with Spectral Nulls

Publication ,  Journal Article
Forney, GD; Calderbank, AR
Published in: IEEE Transactions on Information Theory
January 1, 1989

Known coset codes are adapted for use on partial response channels or to generate signals with spectral nulls. By the use of methods of coset precoding and running digital sum feedback, any desired tradeoff can be achieved between the power and spectra of the relevant sequences, up to the optimum tradeoff possible. A fundamental theorem specifying this optimum tradeoff is given. A maximum likelihood sequence estimator (MLSE) decoder for the original code may be used for the adapted code, and such a decoder then attains the minimum squared distance of the original code. These methods sometimes generate codes with greater minimum squared distance than that of the original code; this distance can be attained by augmented decoders, although such decoders inherently require long decoding delays and may be subjected to quasi-catastrophic error propagation. We conclude that, at least for sequences supporting large numbers of bits per symbol, coset codes can be adapted to achieve effectively the same performance and complexity on partial response channels, or for sequences with spectral nulls, as they do in the ordinary memoryless case. © 1989 IEEE

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Published In

IEEE Transactions on Information Theory

DOI

EISSN

1557-9654

ISSN

0018-9448

Publication Date

January 1, 1989

Volume

35

Issue

5

Start / End Page

925 / 943

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing
 

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Forney, G. D., & Calderbank, A. R. (1989). Coset Codes for Partial Response Channels; or, Coset Codes with Spectral Nulls. IEEE Transactions on Information Theory, 35(5), 925–943. https://doi.org/10.1109/18.42211
Forney, G. D., and A. R. Calderbank. “Coset Codes for Partial Response Channels; or, Coset Codes with Spectral Nulls.” IEEE Transactions on Information Theory 35, no. 5 (January 1, 1989): 925–43. https://doi.org/10.1109/18.42211.
Forney GD, Calderbank AR. Coset Codes for Partial Response Channels; or, Coset Codes with Spectral Nulls. IEEE Transactions on Information Theory. 1989 Jan 1;35(5):925–43.
Forney, G. D., and A. R. Calderbank. “Coset Codes for Partial Response Channels; or, Coset Codes with Spectral Nulls.” IEEE Transactions on Information Theory, vol. 35, no. 5, Jan. 1989, pp. 925–43. Scopus, doi:10.1109/18.42211.
Forney GD, Calderbank AR. Coset Codes for Partial Response Channels; or, Coset Codes with Spectral Nulls. IEEE Transactions on Information Theory. 1989 Jan 1;35(5):925–943.

Published In

IEEE Transactions on Information Theory

DOI

EISSN

1557-9654

ISSN

0018-9448

Publication Date

January 1, 1989

Volume

35

Issue

5

Start / End Page

925 / 943

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing