IEICE TRANSACTIONS on Fundamentals
Cross-Correlation Distribution of p-Ary m-Sequence and Its p + 1 Decimated Sequences with Shorter Period
Summary :
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 = pk +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 pn -1 because gcd(d, pn - 1) = p + 1. The maximum magnitude of their cross-correlation values is 1 + p
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.11 pp.2568-2574
- Publication Date
- 2007/11/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e90-a.11.2568
- Type of Manuscript
- PAPER
- Category
- Spread Spectrum Technologies and Applications
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Keyword
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Eun-Young SEO, Young-Sik KIM, Jong-Seon NO, Dong-Joon SHIN, "Cross-Correlation Distribution of p-Ary m-Sequence and Its p + 1 Decimated Sequences with Shorter Period" in IEICE TRANSACTIONS on Fundamentals,
vol. E90-A, no. 11, pp. 2568-2574, November 2007, doi: 10.1093/ietfec/e90-a.11.2568.
Abstract: 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 = pk +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 pn -1 because gcd(d, pn - 1) = p + 1. The maximum magnitude of their cross-correlation values is 1 + p
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.11.2568/_p
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@ARTICLE{e90-a_11_2568,
author={Eun-Young SEO, Young-Sik KIM, Jong-Seon NO, Dong-Joon SHIN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Cross-Correlation Distribution of p-Ary m-Sequence and Its p + 1 Decimated Sequences with Shorter Period},
year={2007},
volume={E90-A},
number={11},
pages={2568-2574},
abstract={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 = pk +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 pn -1 because gcd(d, pn - 1) = p + 1. The maximum magnitude of their cross-correlation values is 1 + p
keywords={},
doi={10.1093/ietfec/e90-a.11.2568},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - Cross-Correlation Distribution of p-Ary m-Sequence and Its p + 1 Decimated Sequences with Shorter Period
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2568
EP - 2574
AU - Eun-Young SEO
AU - Young-Sik KIM
AU - Jong-Seon NO
AU - Dong-Joon SHIN
PY - 2007
DO - 10.1093/ietfec/e90-a.11.2568
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2007
AB - 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 = pk +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 pn -1 because gcd(d, pn - 1) = p + 1. The maximum magnitude of their cross-correlation values is 1 + p
ER -
English
