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Volume 20 Issue 6
Nov.  1998
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Zeng Fanxin. ON AUTOCORRELATION FUNCTIONS OF PRIMITIVE M-SEQUENCES[J]. Journal of Electronics & Information Technology, 1998, 20(6): 775-780.
Citation: Zeng Fanxin. ON AUTOCORRELATION FUNCTIONS OF PRIMITIVE M-SEQUENCES[J]. Journal of Electronics & Information Technology, 1998, 20(6): 775-780.

ON AUTOCORRELATION FUNCTIONS OF PRIMITIVE M-SEQUENCES

  • Received Date: 1997-03-03
  • Rev Recd Date: 1998-02-25
  • Publish Date: 1998-11-19
  • In this paper, the self-correlation functions of primitive M-sequences are discussed, the general solutions of some autocorrelation functions are presented. These general solutions result in that the auto-correlation functions can be obtained by the feedback functions of M-sequences and need not to know the M-sequences. Therefore, the calculation for these functions is greatly reduced. Meanwhile, potential values of autocorrelation function C(#em/em#)(n#em/em# 2n) are proposed as well.
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  • 万哲先,等.非线性移位寄存器.北京: 科学出版社,1978,第2章.[2]肖国镇,等.伪随机序列及其应用.北京:国防工业出版社,1985,第2章,第3章.[3]Gold R. Optimal binary sequences for spread spectrum multiplexing. IEEE Trans. on IT, 1967 IT-13(5): 619-621.[4]Klapper A, et al. Cascaded GMW squences. IEEE Trans. on IT, 1993, IT-39(1): 177-183.[5]Scholtz R A, et al. GWM Squences. IEEE Trans, on IT, 1982, IT30(3): 548-553.[6]Kasami T, We电ht Distribution of Bose-Chaudburi-Hocquenghen Code. In Combinational Math-[7]ematics and Its Applications. Chapel Hill, NC: Univ. of North Carolina Press, 1969.[8]Olsen J D, ef al Bent-function sequences. IEEE Trans. on IT, 1982, IT-28(6): 858-864.[9]No J S, et al. A new family of binary pseudorandom sequences having optimal periodic correlation properties and large linear span. IEEE Trans.on IT, 1989, IT-35(2): 371-379.[10]李世鹏,等.一类新的性能优越的伪随机序.电子学报,1993, 21(1): 41-51.[11]曹凡鑫.一类M序列自相关函数的界.电子学报,1996,24(4):127.[12]曾凡鑫.关于本原M序列的一些自相关函数取值.通信学报,1997, 18(9): 26-30.[13]章照止.关于M序列的相关函数.系统科学与数学.1982, 2(4):241-251.
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