Bounds And Constructions Of Frequency Hopping Sequences With Low-Hit-Zone

In order to meet the requirements of the actual communication environment,Fan et al.first proposed the concept of the Low Hit Zone(LHZ)frequency hopping sequence in 2003.In a certain time delay range near zero time delay,the maximum Hamming correlation function value of the frequency hopping sequence set can still keep a low level,and this time delay range is called the low hit zone.The quasi-synchronous frequency hopping multiple access communication system can be free from interference in the low-collision area and maintain excellent communication performance.Therefore,it is of great significance to study the frequencyhopping sequence set in low-hit-zone.This paper mainly discusses the low-hit-zone frequency hopping sequence set,the content is as follows:1.Based on the work of Zeng et al.,this paper further studies the LHZ-FHS.A theoretical bound of maximum period Hamming correlation outside the low hit zone is established.Finally,a new class of low-hit-zone frequency hopping sequence sets is designed by using the method of splitting and interleaving.2.Based on the work of Yang et al.,this paper further studies the relationship between frequency hopping sequence set and cyclic code in low hit zone.Starting from the Singlton bound of error-correcting codes,the maximal Hamming correlation of frequency hopping sequences in low hit zone is obtained.Based on some cyclic codes,including Reed-Solomon codes,truncated codes and polynomial function defined codes,an optimal set of LHZ-FHS is designed to reach the new maximum Hamming-dependent Singlton bound.