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Three-Phase Barker Arrays.
- Source :
- Journal of Combinatorial Designs; Jan2015, Vol. 23 Issue 2, p45-59, 15p
- Publication Year :
- 2015
-
Abstract
- A 3-phase Barker array is a matrix of third roots of unity for which all out-of-phase aperiodic autocorrelations have magnitude 0 or 1. The only known truly two-dimensional 3-phase Barker arrays have size 2 × 2 or 3 × 3. We use a mixture of combinatorial arguments and algebraic number theory to establish severe restrictions on the size of a 3-phase Barker array when at least one of its dimensions is divisible by 3. In particular, there exists a double-exponentially growing arithmetic function T such that no 3-phase Barker array of size [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 23
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 99885929
- Full Text :
- https://doi.org/10.1002/jcd.21377