Balanced (Almost) Binary Sequence Pairs of Period Q ≡ 1(mod 4) with Optimal Autocorrelation and Cross-Correlation

  • PENG Xiuping
    School of Information Science and Engineering, Yanshan University Hebei Key Laboratory of Information Transmission and Signal Processing, Yanshan University
  • LI Hongxiao
    School of Information Science and Engineering, Yanshan University Hebei Key Laboratory of Information Transmission and Signal Processing, Yanshan University
  • LIN Hongbin
    School of Electrical Engineering, Yanshan University

抄録

<p>In this letter, the almost binary sequence (sequence with a single zero element) is considered as a special class of binary sequence. Four new bounds on the cross-correlation of balanced (almost) binary sequences with period Q ≡ 1(mod 4) under the precondition of out-of-phase autocorrelation values {-1} or {1, -3} are firstly presented. Then, seven new pairs of balanced (almost) binary sequences of period Q with ideal or optimal autocorrelation values and meeting the lower cross-correlation bounds are proposed by using cyclotomic classes of order 4. These new bounds of (almost) binary sequences with period Q achieve smaller maximum out-of-phase autocorrelation values and cross-correlation values.</p>

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