• DocumentCode
    935146
  • Title

    When does the modular distance induce a metric in the binary case? (Corresp.)

  • Author

    Ernvall, Sirpa

  • Volume
    28
  • Issue
    4
  • fYear
    1982
  • fDate
    7/1/1982 12:00:00 AM
  • Firstpage
    665
  • Lastpage
    668
  • Abstract
    The modular distance induces a metric if and only if the nonadjacent form of the modulus M has one of the following forms: 1) 2^{n}+2^{n-2} \\pm 2^{i} , where n-i\\geq 4; 2) 2^{n} - 2^{j} \\pm 2^{i} , where 2 \\leq n -j \\leq 5 and j-i\\geq 2; 3) 2^{n} \\pm 2^{j} , where n -j \\geq 2; 4) 2^{n} .
  • Keywords
    Arithmetic coding; Bandwidth; Contracts; Decoding; Digital modulation; Error probability; NASA; Notice of Violation; Phase modulation; Satellites; Viterbi algorithm;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1982.1056538
  • Filename
    1056538
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=935146