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New Framework for Sequences With Perfect Autocorrelation and Optimal Crosscorrelation.
- Source :
-
IEEE Transactions on Information Theory . Nov2021, Vol. 67 Issue 11, p7490-7500. 11p. - Publication Year :
- 2021
-
Abstract
- In this paper, we give a new framework for constructing perfect sequences, called generalized Milewski sequences, over various alphabets including Polyphase (PSK) as well as Amplitude-and-Polyphase (APSK) in general, and for constructing optimal sets of such perfect sequences by using combinatorial designs, called circular Florentine arrays. Specifically, we prove that, given any positive integer $m\geq 1$ , (i) there exists a perfect sequence of period $mN^{2}$ for any positive integer $N$ if there exists a perfect sequence (polyphase or not) of length $m$ ; (ii) an optimal $k$ -set of perfect sequences of length $mN^{2}$ can be constructed if there exist both a $k \times N$ circular Florentine array and an optimal $k$ -set of perfect sequences all of length $m$. This enables us to find some optimal $k$ -set of perfect sequences where $k > p_{\text {min}}-1$ , where $p_{\text {min}}$ is the smallest prime factor of $mN^{2}$. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PHASE shift keying
*QUADRATURE amplitude modulation
*FIELD-flow fractionation
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 67
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 153710513
- Full Text :
- https://doi.org/10.1109/TIT.2021.3107611