Title
Optimal frequency hopping sequences: a combinatorial approach
Abstract
Frequency hopping multiple access (FHMA) spread-spectrum communication systems employing multiple frequency-shift keying (MFSK) as data modulation technique are investigated from a combinatorial approach. A correspondence between optimal frequency hopping (FH) sequences and partition-type difference packings is first established. By virtue of this correspondence, FHMA systems with a single optimal FH sequence each are constructed from various combinatorial structures such as affine geometries, cyclic designs, and difference families. Combinatorial recursive constructions are also presented. Many new infinite series of optimal FH sequences are thus obtained. These new FH sequences are also useful in ultra wideband (UWB) communication systems.
Year
DOI
Venue
2004
10.1109/TIT.2004.834783
IEEE Transactions on Information Theory
Keywords
Field
DocType
fhma system,multiple access,combinatorial approach,single optimal fh sequence,multiple frequency-shift keying,communication system,new fh sequence,optimal fh sequence,optimal frequency,difference family,frequency hopping,differential geometry,series mathematics,infinite series,sequences,spread spectrum communication,broadband networks,frequency shift keying,uwb,ultra wideband
Affine transformation,Affine geometry,Combinatorics,Series (mathematics),Computer science,Frequency-shift keying,Combinatorial optimization,Difference algebra,Frequency-hopping spread spectrum,Spread spectrum
Journal
Volume
Issue
ISSN
50
10
0018-9448
Citations 
PageRank 
References 
64
4.28
8
Authors
3
Name
Order
Citations
PageRank
R. Fuji-Hara1654.66
Ying Miao249143.85
M. Mishima3644.28