Title :
Optimal Frequency Hopping Sequences of Odd Length
Author :
Xiangyong Zeng ; Han Cai ; Xiaohu Tang ; Yang Yang
Author_Institution :
Fac. of Math. & Comput. Sci., Hubei Univ., Wuhan, China
Abstract :
In this paper, a new generalized cyclotomy with respect to a positive odd integer is introduced, and a construction of frequency hopping sequence sets and two constructions of frequency hopping sequences are proposed as its applications. The frequency hopping sequence sets and frequency hopping sequences obtained in this paper can be optimal with respect to the Peng-Fan bound and Lempel-Greenberger bound, respectively. Further, the length of sequences in the optimal frequency hopping sequence sets can be any odd integer larger than 3. Some of them have new parameters.
Keywords :
correlation theory; frequency hop communication; sequences; Hamming autocorrelation; Lempel-Greenberger bound; Peng-Fan bound; cyclotomy; optimal frequency hopping sequence set; positive odd integer length; Educational institutions; Electronic mail; Indexes; Information security; Information theory; Vectors; Frequency hopping sequence (FHS); generalized cyclotomic number; generalized cyclotomy; the Lempel–Greenberger bound; the Peng–Fan bound;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2237754
