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Sequence Transmission: Coding in the Frequency Domain

In: Sequences

Author

Listed:
  • Ephraim Feig

    (IBM T.J. Watson Research Center)

  • Fred Mintzer

    (IBM T.J. Watson Research Center)

Abstract

Reliability in transmission of sequences is achieved by adding redundancy, thereby increasing “distance” between codewords. The word distance is in quotes, because distance can mean many things. Traditional error correcting techniques increase Hamming distance at a cost of decreased rates and and latency (added complexity). The coded modulation techniques introduced by Ungerboek [1] increase Euclidean distance without changing rates. When one has a more precise picture of the channel one can increase distances in non-Euclidean geometries which account for correlations in the noise [2, 3]. In the Fourier transform division multiplexing; (FTDM) schemes of Wienstein and Ebert [4], Peled and Ruiz [5], Mintzer and Howell [6], and Cocke and Greene [7], one again trades off between redundancy and rate in a fixed frequency band, but in a fundamentally different way.

Suggested Citation

  • Ephraim Feig & Fred Mintzer, 1990. "Sequence Transmission: Coding in the Frequency Domain," Springer Books, in: Renato M. Capocelli (ed.), Sequences, pages 488-505, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-3352-7_39
    DOI: 10.1007/978-1-4612-3352-7_39
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