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Browse Journals & Magazines > Communication Technology, IEE ...> Volume:18 Issue:5 Help

Subsequences of Pseudorandom Sequences

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2 Author(s)
Wainberg, S. ; Polytechnic Institute of Brooklyn, Brooklyn, N.Y ; Wolf, J.K.

The properties of subsequences of longmsequences are studied using the moments of the subsequence weight distributions. These moments are shown to be an aid for selecting goodmsequences for correlation-detection problems. In particular, the first four moments are described in detail for subsequence lengthsM leq 100digits for six differentmsequences. Two simple algorithms are described for determining the third and fourth moments. An algorithm for calculating the fourth moment and a detailed description of this moment for the sixmsequences are presented in this paper. Using the moments, a relationship is shown between the subsequences of the pseudorandom binary sequence and subsequences composed of random binary digits. Estimates for the moments of the subsequence weight distribution are obtained by sampling themsequence. A statistical analysis of these results is presented.

Published in:
Communication Technology, IEEE Transactions on  (Volume:18 ,  Issue: 5 )

Date of Publication: October 1970

Page(s):
606 - 612
ISSN :
0018-9332
Digital Object Identifier :
10.1109/TCOM.1970.1090402
Product Type:
Journals & Magazines
Date of Current Version :
06 January 2003
Issue Date :
October 1970

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