Multiplicative Complementary Binary Signal-Code Constructions

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 containi...

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Bibliographic Details
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
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Summary: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).
ISSN:0735-2727
1934-8061
DOI:10.3103/S0735272718100011