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On the Relationship of Sidel'nikov Sequences  

Lim Tae-Hyung (대구경북과학기술원)
Kim Young-Sik (서울대학교 전기컴퓨터공학부 및 뉴미디어통신공동연구소)
Chung Jung-Soo (서울대학교 전기컴퓨터공학부 및 뉴미디어통신공동연구소)
No Jong-Seon (서울대학교 전기컴퓨터공학부 및 뉴미디어통신공동연구소)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.31, no.6C, 2006 , pp. 582-588 More about this Journal
Abstract
In this paper, the relationship among M-ary Sidel'nikov sequences generated by different primitive elements and decimation are studied. Their autocorrelation function and autocorrelation distribution are derived. It is proved that Sidel'nikov sequences for a given period are equivalent under the decimation, cyclic shift, and scalar multiplication of the sequence.
Keywords
Autocorrelation; autocorrelation distribution; decimation; M-ary Sidel'nikov sequences; primitive elements;
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  • Reference
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