Title :
Algebraic Constructions of Optimal Frequency-Hopping Sequences
Author :
Ding, Cunsheng ; Moisio, Marko J. ; Yuan, Jin
Author_Institution :
Hong Kong Univ. of Sci. & Technol., Hong Kong
fDate :
7/1/2007 12:00:00 AM
Abstract :
Frequency-hopping (FH) spread spectrum and direct-sequence spread spectrum are two main spread-coding technologies. Frequency-hopping sequences are needed in FH code-division multiple-access (CDMA) systems. In this correspondence, three classes of optimal frequency-hopping sequences are constructed with algebraic methods. The three classes are based on perfect nonlinear functions, power functions, and norm functions, respectively. Both individual optimal frequency-hopping sequences and optimal families of frequency-hopping sequences are presented.
Keywords :
code division multiple access; frequency hop communication; nonlinear functions; sequences; spread spectrum communication; CDMA systems; FH code-division multiple-access; algebraic constructions; algebraic methods; direct-sequence spread spectrum; frequency-hopping spread spectrum; nonlinear functions; norm functions; optimal frequency-hopping sequences; power functions; spread-coding technologies; Computer science; Councils; Frequency; Mathematics; Multiaccess communication; Spread spectrum communication; Statistics; Direct sequence spread spectrum; frequency-hopping sequence; frequency-hopping spread spectrum; norm function; perfect nonlinear function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.899545
