Multiplicative Complementary Binary Signal-Code Constructions

• Published in: Radioelectronics and communications systems 2018-10, Vol.61 (10), p.431-443
• Main Authors: Holubnychyi, A. H., Konakhovych, G. F.
• Format: Article
• Language: English
• Subjects: Binary codes; Communications Engineering; Correlation analysis; Engineering; Filtration; Immunity; Networks; Signal detection; Signal processing; Statistical models
• ISSN: 0735-2727; 1934-8061
• DOI: 10.3103/S0735272718100011

There are proposed signal-code constructions consisting of two or more components shaped on a basis of binary sequences with a property of multiplicative complementariness of their matched filtering results. There are considered systematically the rules of synthesis of such binary sequences containing signal-code constructions; there are described analytically their correlation properties, their processing specificities and the structure of obtained resulting signal. On a basis of statistical model of correlated signal components and their clusterization there is shown theoretical continuity of proposed signal-code constructions and Barker’s binary sequences. There are represented the examples of shaping, processing and parameters of researched signal-code constructions. It is carried out comparative analysis of structural specificities and noise immunity of multiplicative complementary signal-code constructions with complementary sequences (Golay’s codes), i.e. signal-code constructions with property of additive complementariness, there are exposed their advantages and drawbacks regarding spectral characteristics and signal detection characteristics (errors of the first and second genus).