Composite Walsh-Barker Sequences

Abstract

The generating/detecting methods of Walsh-Barker composite sequences are developed. The relevance of using Barker codes as generating sequences of a composite code intended for generating a synchronization signal is shown, without limitations on the choice of the shape of elementary symbols. The possibility of synthesizing composite sequences with given properties by an adequate choice of elementary symbols and generating sequences is investigated. It is shown that the use of Walsh's orthogonal sequences as elementary ones, introduces the self-synchronization property in the composite Walsh-Barker sequences and a number of new beneficial properties. The orthogonality property of the Walsh sequences and the orthogonality properties of the composite sequences can be simultaneously transmitted on a single carrier of several composite signals, modulated by information symbols. To allocate transmitted information symbols, the matched filtering of the transferred sum is used. The article is followed by diagrams obtained by simulating processes and sequences using the Hewlett Packard © HPVEE Visual Object-Oriented Programming Package. The possibility of simultaneous and independent transmission of various modulated composite sequences are proved. The possibilities of the practical application of composite sequences in perspective telecommunication systems are estimated.