New Families of Optimal Frequency-Hopping Sequences of Composite Lengths
SCIE
SCOPUS
- Title
- New Families of Optimal Frequency-Hopping Sequences of Composite Lengths
- Authors
- Chung, JH; Gong, G; Yang, K
- Date Issued
- 2014-06
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Abstract
- Frequency-hopping sequences (FHSs) are employed to mitigate the interferences caused by the hits of frequencies in frequency-hopping spread spectrum systems. In this paper, we present two new constructions for FHS sets. We first give a new construction for FHS sets of length nN for two positive integers n and N with gcd(n, N) = 1. We then present another construction for FHS sets of length (q-1) N, where q is a prime power satisfying gcd(q-1, N) = 1. By these two constructions, we obtain infinitely many new optimal FHS sets with respect to the Peng-Fan bound as well as new optimal FHSs with respect to the Lempel-Greenberger bound, which have length nN or n(q-1) N. As a result, a great deal of flexibility may be provided in the choice of FHS sets for a given frequency-hopping spread spectrum system.
- Keywords
- Frequency-hopping spread spectrum; frequency-hopping sequences; Hamming correlation; Lempel-Greenberger bound; Peng-Fan bound; LARGE LINEAR SPAN; OPTIMAL CONSTRUCTIONS; CROSS-CORRELATION; SETS; PARAMETERS; CYCLOTOMY; DESIGNS; BOUNDS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/14352
- DOI
- 10.1109/TIT.2014.2315207
- ISSN
- 0018-9448
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 60, no. 6, page. 3688 - 3697, 2014-06
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