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關(guān)于本原M序列的自相關(guān)函數(shù)

曾凡鑫

曾凡鑫. 關(guān)于本原M序列的自相關(guān)函數(shù)[J]. 電子與信息學(xué)報, 1998, 20(6): 775-780.
引用本文: 曾凡鑫. 關(guān)于本原M序列的自相關(guān)函數(shù)[J]. 電子與信息學(xué)報, 1998, 20(6): 775-780.
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.

關(guān)于本原M序列的自相關(guān)函數(shù)

ON AUTOCORRELATION FUNCTIONS OF PRIMITIVE M-SEQUENCES

  • 摘要: 本文研究了本原M序列的自相關(guān)性能,首次獲得了部份自相關(guān)函數(shù)的通解。這些通解的作用在于無需給出序列,只要知道反饋函數(shù)就可以獲得相應(yīng)的自相關(guān)函數(shù)值,大大降低了自相關(guān)函數(shù)的計算量。此外,還給出了自相關(guān)函數(shù)C(#em/em#)(n#em/em# 2n-1)的取值范圍。
    Abstract: 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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  • 萬哲先,等.非線性移位寄存器.北京: 科學(xué)出版社,1978,第2章.[2]肖國鎮(zhèn),等.偽隨機序列及其應(yīng)用.北京:國防工業(yè)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電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]李世鵬,等.一類新的性能優(yōu)越的偽隨機序.電子學(xué)報,1993, 21(1): 41-51.[11]曹凡鑫.一類M序列自相關(guān)函數(shù)的界.電子學(xué)報,1996,24(4):127.[12]曾凡鑫.關(guān)于本原M序列的一些自相關(guān)函數(shù)取值.通信學(xué)報,1997, 18(9): 26-30.[13]章照止.關(guān)于M序列的相關(guān)函數(shù).系統(tǒng)科學(xué)與數(shù)學(xué).1982, 2(4):241-251.
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出版歷程
  • 收稿日期:  1997-03-03
  • 修回日期:  1998-02-25
  • 刊出日期:  1998-11-19

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