Kth Order Near-Orthogonal Codes

Abstract

Certain near-orthogonal codes have recently been used in multiple- short keying communication systems. The codes generally considered for this application are the first order Reed-Solomon (RS) codes. The purpose of this paper is to extend this class of codes. It is shown that codes can be developed with the property that no two members of the code overlap in more than k frequency-time slots. It is also shown that certain subsets of these codes are synchronizable. The optimum kth order near-orthogonal synchronizable codes are certain subsets of RS codes with a maximum distance d = n-k, where n is the number of code symbols.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1971
Accession Number
AD0720822

Entities

People

  • Irving S. Reed

Organizations

  • MITRE Corporation

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  • Energy and Power Technologies

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  • Air Force
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  • Frequency
  • Frequency Shift
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Fields of Study

  • Mathematics

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  • Computer Programming and Software Development.
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  • Radio communications and signal processing.