New Bounds of Strong No-hit-zone Frequency-hopping Sequences

Abstract

Strict quasi-synchronization may be hard to maintain at all times in practical FHMA networks (e.g., infrastructureless ad hoc networks), strong no-hit-zone frequency-hopping sequence (SNHZ-FHS) could minimize the Hamming correlation for time-shifts outside of the no-hit-zone (NHZ). In this letter, theoretical bounds on the maximum partial Hamming correlation (PHC) of SNHZ-FHS are studied. The proposed bounds are strict and obtained in the literature for the first time. Moreover, Zhou-Tang-Niu-Udaya bound and Zeng-Zhou-Liu-Liu bound are the special cases of the proposed bounds.