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Author Leukhin, Anatolii N.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword MATHEMATICAL METHODS AND COMPUTING ♦ ALGEBRA ♦ CORRELATION FUNCTIONS ♦ FACTORIZATION ♦ MATHEMATICAL SOLUTIONS ♦ SYNTHESIS ♦ FUNCTIONS ♦ MATHEMATICS
Abstract The algebraic solution of a 'complex' problem of synthesis of phase-coded (PC) sequences with the zero level of side lobes of the cyclic autocorrelation function (ACF) is proposed. It is shown that the solution of the synthesis problem is connected with the existence of difference sets for a given code dimension. The problem of estimating the number of possible code combinations for a given code dimension is solved. It is pointed out that the problem of synthesis of PC sequences is related to the fundamental problems of discrete mathematics and, first of all, to a number of combinatorial problems, which can be solved, as the number factorisation problem, by algebraic methods by using the theory of Galois fields and groups. (fourth seminar to the memory of d.n. klyshko)
ISSN 10637818
Educational Use Research
Learning Resource Type Article
Publisher Date 2005-08-31
Publisher Place United States
Journal Quantum Electronics
Volume Number 35
Issue Number 8


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