Cross correlation of m-sequences of different lengths

Ness G.J.; Helleseth T.

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Cross correlation of m-sequences of different lengths

机译：不同长度的m序列的互相关

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摘要

We consider the distribution of the cross correlation between m-sequences of period 2/sup m/-1, where m=2k and m-sequences of shorter period 2/sup k/-1. We present some general properties of the cross correlation between these m-sequences and we find some decimations with 3-valued cross correlation. We further present some numerical results and open problems.

机译：我们考虑周期2 / sup m / -1的m序列（其中m = 2k）和较短周期2 / sup k / -1的m序列之间的互相关分布。我们介绍了这些m序列之间的互相关的一些一般属性，并发现了三值互相关的一些抽取。我们进一步提出一些数值结果和未解决的问题。

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《IEEE Transactions on Information Theory》 |2006年第4期|p.1637-1648|共12页
作者
Ness G.J.; Helleseth T.;
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正文语种 eng
中图分类无线电电子学、电信技术;
关键词
correlation theory; m-sequences; cross correlation; m-sequence; Autocorrelation; Kasami sequence; cross correlation;

机译：相关理论m序列互相关m序列自相关Kasami序列互相关;

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专利

1. ON CROSS-CORRELATION OF A BINARY m-SEQUENCE OF PERIOD 2(2k)-1 AND ITS DECIMATED SEQUENCES BY (2(lk)+1)/(2(l)+1) [J] . Liang Hua, Luo Jinquan, Tang Yuansheng Advances in mathematics of communications . 2017,第4期

机译：（2（LK）+1）/（2（l）+1）的二元m序列及其抽量序列的互相关。（2（l）+1）
2. SOME NEW RESULTS ON CROSS CORRELATION OF p-ARY m-SEQUENCE AND ITS DECIMATED SEQUENCE [J] . Chen Wenbing, Luo Jinquan, Tang Yuansheng, Advances in mathematics of communications . 2015,第3期

机译：p-ary m-序列及其十进制序列的互相关的一些新结果
3. The cross correlation distribution of a p-ary m-sequence of period p~m - 1 and its decimated sequences by (p~k + 1)(p~m + 1)/4 [J] . Hua Liang, Yuansheng Tang Finite fields and their applications . 2015,第jana期

机译：周期p〜m-1的p元m序列与其抽取序列的互相关分布为（p〜k + 1）（p〜m + 1）/ 4
4. m-Sequences of Lengths 2~(2k) - 1 and 2~k - 1 with at Most Four-Valued Cross Correlation [C] . Tor Helleseth, Alexander Kholosha International Conference on Sequences and Their Applications;SETA 2008 . 2008

机译：长度为2〜（2k）-1和2〜k-1的m序列具有最大四值互相关
5. Periscope method: A physically judicious and mathematically rigorous adaptation of Fourier transformation for extracting modest correlation lengths. [D] . Sakai, Hajime. 2001

机译：潜望镜方法：从物理上明智且数学上严格的傅里叶变换，以提取适度的相关长度。
6. Determination of in Vivo Dissociation Constant KD of Cdc42-Effector Complexes in Live Mammalian Cells Using Single Wavelength Fluorescence Cross-correlation Spectroscopy [O] . Thankiah Sudhaharan, Ping Liu, Yong Hwee Foo, 2009

机译：体内离解常数的测定 KD活的哺乳动物细胞中的Cdc42-效应复合物。使用单波长荧光互相关光谱学
7. Characterization of m-Sequences of lengths 2 2k − 1 and 2 k − 1 with three-valued cross correlation [O] . Tor Helleseth, Er Kholosha, Geir Jarle Ness 2007

机译：表征长度为2 2k - 1和2 k - 1的m序列，具有三值互相关
8. Scattering Cross Sections for Two Dimensional Rough Surfaces with Different Correlation Lengths [R] . Bahar, E., Fitzwater, M. A. 1988

机译：具有不同相关长度的二维粗糙表面的散射截面

Cross correlation of m-sequences of different lengths

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