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Uniqueness of punctured binary sequence pairs

Jiong Shi, Ting Jiang, Zheng Zhou, Chengshi Zhao

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Abstract

The uniqueness of punctured binary sequence pairs is proposed and proved. In particular, perfect punctured binary sequence pairs(PPBSP), almost perfect punctured binary sequence pairs(APPBSP), pseudorandom punctured binary sequence pairs(PRBPSP) and punctured binary sequence pairs with two-level autocorrelation(PBSPT) are proved as the specific cases of perfect punctured LCZ/ZCZ sequence pairs. As a result, the unique receiving is guaranteed theoretically when they are applied in engineering.

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What this paper is about

The uniqueness of punctured binary sequence pairs is proposed and proved. In particular, perfect punctured binary sequence pairs(PPBSP), almost perfect punctured binary sequence pairs(APPBSP), pseudorandom punctured binary sequence pairs(PRBPSP) and punctured binary sequence pairs with two-level autocorrelation(PBSPT) are proved as the specific cases of perfect punctured LCZ/ZCZ sequence pairs. As a result, the unique receiving is guaranteed theoretically when they are applied in engineering.

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Available abstract

The uniqueness of punctured binary sequence pairs is proposed and proved. In particular, perfect punctured binary sequence pairs(PPBSP), almost perfect punctured binary sequence pairs(APPBSP), pseudorandom punctured binary sequence pairs(PRBPSP) and punctured binary sequence pairs with two-level autocorrelation(PBSPT) are proved as the specific cases of perfect punctured LCZ/ZCZ sequence pairs. As a result, the unique receiving is guaranteed theoretically when they are applied in engineering.

Key concepts: Pseudorandom binary sequence, Sequence (biology), Binary number, Uniqueness, Pseudorandom number generator, Mathematics, Autocorrelation, Complementary sequences

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