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Binary Sequence Pairs With Two-level Autocorrelation Functions

XU Cheng-qian, Kai Liu, Gang Li, Wangbo Yu

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Abstract

The uniqueness of the binary sequence pair with two- level autocorrelation functions (BSPT) is put forward in the paper and proved by using mathematic tools, which is of great importance in guaranteeing receiving uniquely when applying BSPTs. Some construction methods of BSPT are given. The infinite families of BSPTs are presented by applying construction methods given in this paper.

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What this paper is about

The uniqueness of the binary sequence pair with two- level autocorrelation functions (BSPT) is put forward in the paper and proved by using mathematic tools, which is of great importance in guaranteeing receiving uniquely when applying BSPTs. Some construction methods of BSPT are given. The infinite families of BSPTs are presented by applying construction methods given in this paper.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The uniqueness of the binary sequence pair with two- level autocorrelation functions (BSPT) is put forward in the paper and proved by using mathematic tools, which is of great importance in guaranteeing receiving uniquely when applying BSPTs. Some construction methods of BSPT are given. The infinite families of BSPTs are presented by applying construction methods given in this paper.

Key concepts: Autocorrelation, Sequence (biology), Pseudorandom binary sequence, Uniqueness, Binary number, Autocorrelation technique, Mathematics, Autocorrelation matrix

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