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Browse Journals & Magazines > Communications, Radar and Sig ...> Volume:131 Issue:7 Help

Number of one-coincidence sequence sets for frequency-hopping multiple access communication systems

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3 Author(s)
Shaar, A.A. ; University of Kent, Electronics Laboratories, Canterbury, UK ; Woodcock, C.F. ; Davies, P.A.

The paper presents a new and general description of a class of one-coincidence sequence sets. The set leaders of this class are derived from the combination of N linearly independent phases of a binary m-sequence of length S= 2N¿1. This class will be referred to in this paper as the m-sequence class of one-coincidence sequences. The total number of one-coincidence sets of this class is derived. It is shown that the total number of the m-sequence class of one-coincidence sets is much larger than the number previously described in the literature. A general proof of the one-coincidence property of these sets is presented, and four equivalent conditions for the existence of one-coincidence sequence sets is derived.

Published in:
Communications, Radar and Signal Processing, IEE Proceedings F  (Volume:131 ,  Issue: 7 )

Date of Publication: December 1984

Page(s):
725 - 728
ISSN :
0143-7070
Digital Object Identifier :
10.1049/ip-f-1:19840109
Product Type:
Journals & Magazines
Date of Current Version :
11 November 2008
Issue Date :
December 1984

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