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N-orthogonal phase-modulated codes | IEEE Journals & Magazine | IEEE Xplore

N-orthogonal phase-modulated codes


Abstract:

In this paper biorthogonal codes are generalized in a natural way to a class of codes, calledN-orthogonal codes.N-orthogonal codes consist ofN^{M}signals divided intoN^{M...Show More

Abstract:

In this paper biorthogonal codes are generalized in a natural way to a class of codes, calledN-orthogonal codes.N-orthogonal codes consist ofN^{M}signals divided intoN^{M-1}disjoint sets ofNsignals where signals in different sets are uncorrelated or orthogonal. One instance of theN-orthogonal codes is realized as a class of polyphase, constant-power modulated signals, the admissible phase set being denoted byN^{th}roots of unity. Matched filter receiver criteria for the Gaussian channel are developed and simplified integral expressions for the probability of error are derived.
Published in: IEEE Transactions on Information Theory ( Volume: 12, Issue: 3, July 1966)
Page(s): 388 - 395
Date of Publication: 06 January 2003

ISSN Information:


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