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The properties of the subsequences of a class of linear product shift-register sequences are studied. The particular class concerns those derived from two m sequences of relatively prime length. Expressions are presented for the moments of the subsequence weight distribution. The expressions display a systematic relationship between the moments and the characteristic polynomials of the parent msequences. The importance of correct choice of parent sequences is demonstrated by the results, which show considerable variationof M-tuple weight distribution for product sequences of the same length but having different characteristic polynomials. Consideration of the expression for third moment provides a means for selecting parent m sequences to minimise skewness of the weight distribution.
Electrical Engineers, Proceedings of the Institution of (Volume:122 , Issue: 10 )
Date of Publication: October 1975