DocumentCode :
1421668
Title :
Some polynomial compositions of nonlinear feedback shift registers and their sequence-domain consequences
Author :
Green, D.H. ; Kelsch, R.G.
Author_Institution :
University of Manchester Institute of Science & Technology, Digital Processes Research Laboratory, Department of Electrical Engineering & Electronics, Manchester, UK
Volume :
117
Issue :
9
fYear :
1970
fDate :
9/1/1970 12:00:00 AM
Firstpage :
1750
Lastpage :
1756
Abstract :
The polynomial representation of the cyclic nonlinear feedback shift register is investigated for its behaviour under the application of the dual and reverse operators. The concepts derived are extended to include composite polynomial structures. Invariances under either or both of the operators reveal some special types of feedback shift register (f.s.r.), and the sequence-domain consequences of these are explored. Palindromic, dual-symmetric, reverse-dual-symmetric, and skew-symmetric f.s.r.s are described, together with the conditions for existence, the numbers avaiable for a given register length and methods for their synthesis.
Keywords :
nonlinear systems; polynomials; shift registers;
fLanguage :
English
Journal_Title :
Electrical Engineers, Proceedings of the Institution of
Publisher :
iet
ISSN :
0020-3270
Type :
jour
DOI :
10.1049/piee.1970.0313
Filename :
5249282
Link To Document :
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