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New Infinite Family of Sequences Almost Over Q 8 With Ideal Autocorrelation.
- Source :
-
IEEE Transactions on Information Theory . Oct2022, Vol. 68 Issue 10, p6881-6887. 7p. - Publication Year :
- 2022
-
Abstract
- In this paper, we provide the left and right Parseval relations over the quaternions. Moreover, we construct a new infinite family of sequences almost over $Q_{8} $ with period $p$ by a generalization of Legendre mapping, where $p\equiv 1 \pmod {8}$ is prime and the sequences have ideal autocorrelation. The sequences are symmetric when $p\equiv 1 \pmod {16}$ , and antisymmetric when $p\equiv 9 \pmod {16} $. [ABSTRACT FROM AUTHOR]
- Subjects :
- *AUTOCORRELATION (Statistics)
*QUATERNIONS
*FINITE element method
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 68
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 159210744
- Full Text :
- https://doi.org/10.1109/TIT.2022.3180666