New Bounds of No-Hit-Zone Frequency-Hopping Sequences with Frequency Shift

摘要

In quasi-synchronous FH multiple-access (QS-FHMA)systems, no-hit-zone frequency-hopping sequences (NHZ-FHSs) can offerinterference-free FHMA performance. But, outside the no-hit-zone(NHZ),the Hamming correlation of traditional NHZ-FHZs maybe so large that theperformance becomes not good. And in high-speed mobile environment,Doppler shift phenomenon will appear. In order to ensure the performanceof FHMA, it is necessary to study the NHZ-FHSs in the presence of transmissiondelay and frequency offset. In this paper, We derive a lower boundon the maximum time-frequency two-dimensional Hamming correlationoutside of the NHZ of NHZ-FHSs. The Zeng-Zhou-Liu-Liu bound is aparticular situation of the new bound for frequency shift is zero.