No-Hit-Zone Frequency-Hopping Sequence Sets with Optimal Hamming Autocorrelation

Abstract

In quasi synchronous frequency hopping multiple access (QS FHMA) systems no hit zone frequency hopping sequence (NHZ FHS) sets are commonly employed to minimize multiple access interference Several new constructions for optimal NHZ FHS sets are presented in this paper which are based on interleaving techniques Two types of NHZ FHS sets of length 2N for any integer N >= 3 are constructed whose NHZ sizes are some even integers An optimal NHZ FHS set of length 2N with odd NHZ size for any integer N >= 6 is also presented And then optimal NHZ FHS sets of length LN are given by generalizing one of the proposed constructions for NHZ FHS sets of length 2N where k and N are any positive integers such that 2 <= k < N All the FHSs in the new NHZ FHS sets are non repeating FHSs which are optimal with respect to the Lempel Greenberger bound Our constructions give new parameters which are flexible in the selection of NHZ sue and set size