New Three-Valued Walsh Transforms from Decimations of Helleseth-Gong Sequences

机译：Helleseth-Gong序列抽取的新三值Walsh变换

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Recently, starting from Helleseth-Gong sequences, Gong, Helleseth, and Hu found many decimation numbers which yield three-valued Walsh transforms by computer search. They proved two cases. In this paper, we prove two more cases with new observations.

机译：最近，从Helleseth-Gong序列开始，Gong，Helleseth和Hu发现了许多抽取数字，这些数字通过计算机搜索产生三值沃尔什变换。他们证明了两个案例。在本文中，我们用新的观察结果证明了另外两个案例。

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来源
《Sequences and their applications - SETA 2012.》|2012年|p.327-337|共11页
会议地点 Waterloo(CA);Waterloo(CA)
作者
Guang Gong; Tor Helleseth; Honggang Hu; Chunlei Li;
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作者单位

Department of Electrical and Computer Engineering University of Waterloo Waterloo, Ontario, N2L 3G1, Canada;

The Selmer Center, Department of Informatics, University of Bergen, PB 7803, N-5020 Bergen, Norway;

School of Information Science and Technology, University of Science and Technology of China, Hefei, 230027, China;

The Selmer Center, Department of Informatics, University of Bergen, PB 7803, N-5020 Bergen, Norway;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;计算技术、计算机技术;
关键词
correlation; m-sequences; p-ary sequences; walsh transform; helleseth-gong sequences;

机译：相关性m序列；三元序列;沃尔什变换希里斯·贡序列;

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专利

1. A Three-Valued Walsh Transform From Decimations of Helleseth–Gong Sequences [J] . Gong G., Helleseth T., Hu H. Information Theory, IEEE Transactions on . 2012,第2期

机译：Helleseth-Gong序列抽取的三值Walsh变换
2. More Functions With Three-Valued Walsh Transform From Linear Combinations [J] . Wu Yansheng, Yue Qin, Li Fengwei IEEE communications letters . 2019,第4期

机译：线性组合的三值Walsh变换可提供更多功能
3. The Haar-Recursive Transform and Its Consequence to the Walsh-Paley Spectrum and the Autocorrelation Function [J] . H. M. Rafiq, M. U. Siddiqi International Journal of Engineering Research and Applications . 2016,第11期

机译：Haar递归变换及其对Walsh-Paley谱和自相关函数的后果
4. New Three-Valued Walsh Transforms from Decimations of Helleseth-Gong Sequences [C] . Guang Gong, Tor Helleseth, Honggang Hu, International Conference on Sequences and Their Applications . 2012

机译：从Helleeth-Gong序列的抽取来改变新的三价沃尔什
5. Walsh Fourier Transform on Locally Stationary Time Series and Its Applications [D] . Huang, Zhelin 2018

机译：局部平稳时间序列的沃尔什傅里叶变换及其应用
6. The analysis of decimation and interpolation in the linear canonical transform domain [O] . Shuiqing Xu, Yi Chai, Youqiang Hu, -1

机译：线性典范变换域中的抽取和插值分析
7. New Three-Valued Walsh Transforms from Decimations of Helleseth-Gong Sequences [O] . Guang Gong, Tor Helleseth, Honggang Hu, 2012

机译：从Helleeth-Gong序列的抽取来改变新的三价沃尔什
8. New Capabilities of Walsh Functions and Walsh Transforms. [R] . Cheng, D. K. 1977

机译：沃尔什函数和沃尔什变换的新能力。

New Three-Valued Walsh Transforms from Decimations of Helleseth-Gong Sequences

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