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Perfect Gaussian integer sequences from cyclic difference sets
2016 IEEE International Symposium on Information Theory (ISIT), 2016A Gaussian integer is a complex number whose real and imaginary parts are both integers. This paper proposed a unified construction of perfect Gaussian integer sequences based on cyclic difference sets. It turns out that this construction produces an abundance of perfect Gaussian integer sequences.
Chunlei Li, Chunming Rong
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Perfect Gaussian integer sequences from monomial o-polynomials
2017 IEEE 18th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), 2017The perfect Gaussian integer sequences have been recently used in orthogonal frequency division multiplexing (OFDM) systems and code division multiple access (CDMA) systems. This paper proposes a new construction method, called monomial o-polynomials, to generate the perfect Gaussian integer sequences.
Chong-Dao Lee, Yaotsu Chang
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Perfect Gaussian Integer Sequences of Period $p^{k}$ With Degrees Equal to or Less Than $k+1$
IEEE Transactions on Communications, 2017This paper presents the construction of perfect Gaussian integer sequence (PGIS) of period $N=p^{k}$ with degrees equal to or less than $k+1$ , where $p$ is a prime number and $k\geq 2$ . The study begins with the partitioning of $\mathbb {Z}_{N}$ into $k+1$ subsets, from which $k+1$ base sequences are defined to
Kuo-Jen Chang, Ho-Hsuan Chang
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New Perfect Gaussian Integer Sequences of Period <i>pq</i>
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2013Hui-Juan Zuo, Qiaoyan Wen
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On the Construction of Even-Length Perfect Gaussian Integer Sequences
2025 10th International Conference on Signal and Image Processing (ICSIP)Kun-Lin Lee, Chong-Dao Lee
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New Constructions of Even-Length Perfect Gaussian Integer Sequences
2024 9th International Conference on Signal and Image Processing (ICSIP)Chong-Dao Lee, Kun-Lin Lee
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A CDMA scheme based on perfect Gaussian integer sequences
AEU - International Journal of Electronics and Communications, 2017Abstract Both m -sequences and Gold sequences have been applied as the pseudonoise (PN) code in the code division multiple access (CDMA) scheme to enable distinct users to simultaneously share the available capacity of a common channel, which is called direct sequence CDMA (DS-CDMA).
Ho-Hsuan Chang +2 more
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Novel Comb Spectrum CDMA System Using Perfect Gaussian Integer Sequences
2015 IEEE Global Communications Conference (GLOBECOM), 2014Multi-carrier code division multiple access (MC- CDMA) systems experience serious multiple access interference in uplink transmission since the orthogonality among codes is destroyed by the frequency-selective fading channels. The comb- spectrum (CS) CDMA system was proposed to overcome this drawback by orthogonally assigning subcarriers to various ...
Sen-Hung Wang, Chih-Peng Li
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Novel MC-CDMA system using fourier duals of sparse perfect Gaussian integer sequences
2016 IEEE International Conference on Communications (ICC), 2016Serious multiple access interference (MAI) exists in uplink transmission of a multi-carrier code division multiple access (MC-CDMA) system in frequency-selective fading channels because orthogonality among codes cannot be restored. A novel MC-CDMA system is proposed in this paper to avoid MAI by employing Fourier duals of sparse perfect Gaussian ...
Sen-Hung Wang, Chih-Peng Li
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Construction of perfect Gaussian integer sequences from Payne's o-polynomial
2017 IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC), 2017The perfect Gaussian integer sequences, which satisfy the ideal periodic autocorrelation functions, are of practical interest in both orthogonal frequency division multiplexing (OFDM) systems and code division multiple access (CDMA) systems. In this work, we propose an infinity family of the perfect Gaussian integer sequences constructed from a ...
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