DocumentCode :
59936
Title :
Perfect Gaussian Integer Sequences of Odd Period {2^m} - 1
Author :
Chong-Dao Lee ; Yu-Pei Huang ; Yaotsu Chang ; Ho-Hsuan Chang
Author_Institution :
Dept. of Commun. Eng., I-Shou Univ., Kaohsiung, Taiwan
Volume :
22
Issue :
7
fYear :
2015
fDate :
Jul-15
Firstpage :
881
Lastpage :
885
Abstract :
In this letter, some perfect Gaussian integer sequences of period 2m - 1 are proposed based on the trace representations of Legendre sequences, Hall´s sextic residue sequences, m-sequences, and Gordon-Mills-Welch (GMW) sequences over the finite field BBF2m. Moreover, the energy efficiency of these sequences is approximately 1 for sufficiently large m.
Keywords :
Gaussian processes; integer programming; GMW sequences; Gaussian integer sequences; Gordon-Mills-Welch; Hall sextic residue sequences; Legendre sequences; odd Period 2m - 1; Cities and towns; Correlation; Educational institutions; Peak to average power ratio; Polynomials; Zinc; $m$-sequences; Hall’s sextic residue sequences; Legendre sequences; perfect Gaussian integer sequences; trace representation;
fLanguage :
English
Journal_Title :
Signal Processing Letters, IEEE
Publisher :
ieee
ISSN :
1070-9908
Type :
jour
DOI :
10.1109/LSP.2014.2375313
Filename :
6967790
Link To Document :
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