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Binary Convolutional Codes with Application to Magnetic Recording

Publication ,  Journal Article
Calderbank, AR; Heegard, C; Lee, TA
Published in: IEEE Transactions on Information Theory
January 1, 1986

Calderbank, Heegard, and Ozarow [1] have suggested a method of designing codes for channels with intersymbol interference, such as the magnetic recording channel. These codes are designed to exploit intersymbol interference. The standard method is to minimize intersymbol interference by constraining the input to the channel using run-length limited sequences. Calderbank, Heegard, and Ozarow considered an idealized model of an intersymbol interference channel that leads to the problem of designing codes for a partial response channel with transfer function (1 — DN)/2, where the channel inputs are constrained to be ± 1. This problem is considered here. Channel inputs are generated using a nontrivial coset of a binary convolutional code. The coset is chosen to limit the zero-run length of the output of the channel and so maintain clock synchronization. The minimum squared Euclidean distance between outputs corresponding to distinct inputs is bounded below by the free distance of a second convolutional code which we call the magnitude code. An interesting feature of the analysis is that magnitude codes that are catastrophic may perform better than those that are noncatastrophic. Copyright © 1986 by The Institute of Electrical and Electronics Engineers, Inc.

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Published In

IEEE Transactions on Information Theory

DOI

EISSN

1557-9654

ISSN

0018-9448

Publication Date

January 1, 1986

Volume

32

Issue

6

Start / End Page

797 / 815

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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Calderbank, A. R., Heegard, C., & Lee, T. A. (1986). Binary Convolutional Codes with Application to Magnetic Recording. IEEE Transactions on Information Theory, 32(6), 797–815. https://doi.org/10.1109/TIT.1986.1057245
Calderbank, A. R., C. Heegard, and T. A. Lee. “Binary Convolutional Codes with Application to Magnetic Recording.” IEEE Transactions on Information Theory 32, no. 6 (January 1, 1986): 797–815. https://doi.org/10.1109/TIT.1986.1057245.
Calderbank AR, Heegard C, Lee TA. Binary Convolutional Codes with Application to Magnetic Recording. IEEE Transactions on Information Theory. 1986 Jan 1;32(6):797–815.
Calderbank, A. R., et al. “Binary Convolutional Codes with Application to Magnetic Recording.” IEEE Transactions on Information Theory, vol. 32, no. 6, Jan. 1986, pp. 797–815. Scopus, doi:10.1109/TIT.1986.1057245.
Calderbank AR, Heegard C, Lee TA. Binary Convolutional Codes with Application to Magnetic Recording. IEEE Transactions on Information Theory. 1986 Jan 1;32(6):797–815.

Published In

IEEE Transactions on Information Theory

DOI

EISSN

1557-9654

ISSN

0018-9448

Publication Date

January 1, 1986

Volume

32

Issue

6

Start / End Page

797 / 815

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