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2018•Journal of Systems Engineering and ElectronicsOpen access

Constructions for almost perfect binary sequence pairs with even length

School of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China, Xiuping Peng, Hongbin Lin, Jiadong Ren, Xiaoyu CHEN, School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China, Hebei Key Laboratory of Information Transmission and Signal Processing, Yanshan University, Qinhuangdao 066004, China

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Abstract

The concept of the binary sequence pair is generalized from a single binary sequence. Binary sequence pairs are applied in many fields of radar, sonar or communication systems, in which signals with optimal periodic correlation are required. Several types of almost perfect binary sequence pairs of length T = 2q are constructed, where q is an odd number. These almost perfect binary sequence pairs are based on binary ideal sequence or binary ideal two-level correlation sequence pairs by using Chinese remainder theorem. For these almost perfect binary sequence pairs with good balanced property, their corresponding divisible difference set pairs (DDSPs) are also derived.

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The concept of the binary sequence pair is generalized from a single binary sequence. Binary sequence pairs are applied in many fields of radar, sonar or communication systems, in which signals with optimal periodic correlation are required. Several types of almost perfect binary sequence pairs of length T = 2q are constructed, where q is an odd number. These almost perfect binary sequence pairs are based on binary ideal sequence or binary ideal two-level correlation sequence pairs by using Chinese remainder theorem. For these almost perfect binary sequence pairs with good balanced property, their corresponding divisible difference set pairs (DDSPs) are also derived.

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Available abstract

The concept of the binary sequence pair is generalized from a single binary sequence. Binary sequence pairs are applied in many fields of radar, sonar or communication systems, in which signals with optimal periodic correlation are required. Several types of almost perfect binary sequence pairs of length T = 2q are constructed, where q is an odd number. These almost perfect binary sequence pairs are based on binary ideal sequence or binary ideal two-level correlation sequence pairs by using Chinese remainder theorem. For these almost perfect binary sequence pairs with good balanced property, their corresponding divisible difference set pairs (DDSPs) are also derived.

Key concepts: Pseudorandom binary sequence, Sequence (biology), Binary number, Mathematics, Complementary sequences, Ideal (ethics), Combinatorics, Set (abstract data type)

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