Uniqueness and Theory Bounds of Two-Dimensional Correlation Frequency Hopping Sequence Pair

doi:10.13190/j.jbupt.2017-097

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2018, Vol. 41 ›› Issue (1): 31-36.doi: 10.13190/j.jbupt.2017-097

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Uniqueness and Theory Bounds of Two-Dimensional Correlation Frequency Hopping Sequence Pair

XU Cheng-qian, ZHAO Ya-jie

1. School of Information Science and Engineering, Yanshan University, Hebei Qinhuangdao 066004, China;
2. Hebei Key Laboratory of Information Transmission and Signal Processing, Yanshan University, Hebei Qinhuangdao 066004, China

Received:2017-04-20 Online:2018-02-28 Published:2018-01-04

Abstract

Abstract: In view of the traditional frequency hopping sequence pair containing only one-dimensional Hamming correlation function of time-delayed variables, frequency shift factors are added to correlation function,and the concept of time-frequency two-dimensional correlation function of frequency hopping sequence pair is proposed. The uniqueness of frequency hopping sequence pair is proved, and the only reception of this kind of signal is guaranteed in the practical application. The theory bounds formed by two-dimensional Hamming correlation values, the number of frequency hopping sequence pair, the number of frequency gap and sequence length are derived. It is of great significance to construct the two-dimensional correlation frequency hopping sequence pair which can satisfy the theory bounds.

Key words: frequency hopping sequence pair, two-dimensional Hamming correlation function, uniqueness, theoretical bound

CLC Number:

TN911.22

XU Cheng-qian, ZHAO Ya-jie. Uniqueness and Theory Bounds of Two-Dimensional Correlation Frequency Hopping Sequence Pair[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2018, 41(1): 31-36.

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Uniqueness and Theory Bounds of Two-Dimensional Correlation Frequency Hopping Sequence Pair

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