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N-orthogonal phase-modulated codes

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2 Author(s)

In this paper biorthogonal codes are generalized in a natural way to a class of codes, called N -orthogonal codes. N -orthogonal codes consist of N^{M} signals divided into N^{M-1} disjoint sets of N signals where signals in different sets are uncorrelated or orthogonal. One instance of the N -orthogonal codes is realized as a class of polyphase, constant-power modulated signals, the admissible phase set being denoted by N^{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.

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IEEE Transactions on Information Theory  (Volume:12 ,  Issue: 3 )