Multiplicative complementary binary signal-code constructions

Authors

DOI:

https://doi.org/10.3103/S0735272718100011

Keywords:

complementary sequences, peak sidelobe level, sidelobe suppression, correlation properties, signal detection, signal processing

Abstract

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).

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Published

2018-10-30

Issue

Section

Research Articles