Cross-Correlation Distribution of p-Ary m-Sequence and Its p+1 Decimated Sequences with Shorter Period(Spread Spectrum Technologies and Applications)
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概要
- 論文の詳細を見る
In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p+1 distinct decimated sequences s(dt+l) is derived. For an odd prime p, an even integer n, and d=p^k+1 with gcd(n, k)=1, there are p+1 distinct decimated sequences s(dt+l), 0≤l<p+1, for a p-ary m-sequence s(t) of period p^n-1 because gcd(d, p^n-1)=p+1. The maximum magnitude of their cross-correlation values is 1+p√<p^n> if l≡0 mod p+1 for n=0 mod 4 or l≡(p+1)/2 mod p+1 for n≡2 mod 4 and otherwise, 1+√<p^n>. Also by using s(t) and s(dt+l), a new family of p-ary sequences of period p^n-1 is constructed, whose family size is p^n and C_<max> is 1+√<p^n>.
- 社団法人電子情報通信学会の論文
- 2007-11-01
著者
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NO Jong-Seon
Department of Electrical Engineering and Computer Science, INMC, Seoul National University
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No Jong-seon
Department Of Electrical Engineering And Computer Science Seoul National University
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Kim Young-Sik
Department of Game and Multimedia Engineering, Korea Polytechnic University
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Seo Eun-young
Department Of Electrical Engineering And Computer Science Seoul National University
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SHIN Dong-Joon
Division of Electronics and Computer Engineering, Hanyang University
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No Jong-seon
Department Of Electrical Engineering And Computer Science And Inmc Seoul National University
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Shin Dong-joon
Division Of Electronics And Computer Engineering Hanyang University
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Kim Young-sik
Department Of Electrical Engineering And Computer Science Seoul National University
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Kim Young-sik
Department Of Computer And Radio Communications Engineering Korea University
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No Jong-seon
Department Of Eecs Inmc Seoul National University
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