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Gaussian Integer Sequences of Length 4n with Ideal Periodic Auto-Correlation Function

Many researchers had developed polyphase sequences, so called ¡§perfect sequence¡¨ or ¡§ideal sequence¡¨, with ideal periodic auto-correlation function. There are lots of applications of communication system depends on the sequences with good auto-correlation property, i.e., synchronization, channel estimation and multiple access. These sequences cannot maintain the ideal property in implementation, because of the error of quantization in digital signal processing of transmitter. On the contrary, we develop a novel set of perfect sequences, Gaussian Integer Perfect Sequence (GIPS), which only contains Gaussian integers. In this paper, we construct them by linear combination and cyclic shift of the eight base sequences. We present the design and basic properties of the sequences. Furthermore, the design method of sequences with the smallest dynamic range is presented.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0727109-185515
Date27 July 2009
CreatorsChen, I-sheng
ContributorsChin-Liang Wang, Shyue-Win Wei, Char-Dir Chung, Chih-Peng Li, Chao-Kai Wen
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageCholon
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0727109-185515
Rightsnot_available, Copyright information available at source archive

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