非線型力学系に基づく最適拡散符号の実現，最適ファミリーの構成と応用

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Author: 藤崎, 礼志ほか

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Publication date: 2015-06-09

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Note (General)：: 金沢大学理工研究域電子情報通信学系BERに関して最適な非線型力学系に基づくスペクトル拡散符号を実現し，相関特性に関して最適な符号ファミリーを構成するために，最も基本的なNLFR最大周期列であるde Bruijn系列に注目し，以下の結果を得た．i)自己および相互相関特性に優れた特性を有するde Bru...

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Material Type: 文書・図像類
Title: 非線型力学系に基づく最適拡散符号の実現，最適ファミリーの構成と応用
Author/Editor: 藤崎, 礼志
Fujisaki, Hiroshi
Author Heading: 藤崎, 礼志
Fujisaki, Hiroshi
Publication Date: 2015-06-09
Publication Date (W3CDTF): 2015-06-09
Alternative Title: A realization of optimum spreading sequences based on nonlinear dynamical systems, a construction of their optimum family, and their applications
Periodical title: 平成26(2014)年度科学研究費補助金基盤研究(C) 研究成果報告書 = 2014 Fiscal Year Final Research Report
No. or year of volume/issue: 2012-04-01 - 2015-03-31
Volume: 2012-04-01 - 2015-03-31
Pages: 4p.-
Text Language Code: jpn
Subject Heading: de Bruijn 系列
スペクトル拡散符号
最大周期列
CR系列
記号力学系
超離散力学系
Target Audience: 一般
Note (General): 金沢大学理工研究域電子情報通信学系
BERに関して最適な非線型力学系に基づくスペクトル拡散符号を実現し，相関特性に関して最適な符号ファミリーを構成するために，最も基本的なNLFR最大周期列であるde Bruijn系列に注目し，以下の結果を得た．i)自己および相互相関特性に優れた特性を有するde Bruijn系列のファミリーの構成方法を提案した．ii)de Bruijn系列に属するCR系列の存在に関するFredricksen の公開問題を解決し，de Bruijn系列の相異なる自己相関関数の個数の上界を導出した．iii)区間アルゴリズムの性能評価に関して，成分が有理数である一般の分布の場合に，既知の上界よりも良い評価式を与えた．
In this research, we studied a realization of optimum spreading sequences based on nonlinear dynamical systems and a construction of their optimum family. For their applications, we considered asynchronous spread spectrum multiple access communication systems. The main results in the three-year study are summarized as follows. i) Based on the theoretical bounds of the normalized auto- and cross-correlation functions for de Bruijn sequences, we experimentally characterized a good family of de Bruijn sequences in terms of the both normalized auto- and cross-correlation functions. ii) We settled the fundamental problem posed by Fredricksen on existence of the CR sequences in the de Bruijn sequences of length 2 to the n for any odd n. We obtained upper bounds of the total number of distinct auto-correlation functions for the de Bruijn sequences. iii) Using the induced transformations, we obtained sharp upper and lower bounds on the mean value of the stopping time of the interval algorithm.
研究課題/領域番号:24560445, 研究期間(年度):2012-04-01 - 2015-03-31
DOI: 10.24517/00052547
Access Restrictions: 限定公開
Related Material: https://kaken.nii.ac.jp/search/?qm=80304757
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24560445/
https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-24560445/24560445seika/
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 金沢大学 : 金沢大学学術情報リポジトリKURA