Further results on degree‐2 perfect Gaussian integer sequences
| Autor: | Ho-Hsuan Chang, Chih-Peng Li, Chong-Dao Lee, Sen-Hung Wang |
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| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Perfect power Gaussian integer Table of Gaussian integer factorizations Integer sequence 020206 networking & telecommunications 02 engineering and technology Computer Science Applications Gaussian random field Gaussian filter Combinatorics 03 medical and health sciences symbols.namesake 0302 clinical medicine 0202 electrical engineering electronic engineering information engineering symbols Gaussian function Electrical and Electronic Engineering Gaussian process 030217 neurology & neurosurgery Mathematics |
| Zdroj: | IET Communications. 10:1542-1552 |
| ISSN: | 1751-8636 |
| DOI: | 10.1049/iet-com.2015.1144 |
| Popis: | A complex number whose real and imaginary parts are both integers is called a Gaussian integer. A Gaussian integer sequence is said to be perfect if it has an ideal periodic autocorrelation function (PACF) where all out-of-phase values are zero. Further, the degree of a Gaussian integer sequence is defined as the number of distinct non-zero Gaussian integers within one period of the sequence. Recently, the perfect Gaussian integer sequences have been found important practical applications as signal processing tools for orthogonal frequency-division multiplexing systems. The present article generalises the authors’ earlier paper by Lee et al. (2015) related to the Gaussian integer sequences with ideal PACFs. By the applications of two-tuple-balanced binary sequences and cyclic difference sets, a number of new degree-2 perfect Gaussian integer sequences with different periods are obtained. |
| Databáze: | OpenAIRE |
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