A Tighter lower Bound on Aperiodic Hamming Correlation of Frequency Hopping Sequences

The significance of aperiodic Hamming correlation (AHC) in practical communication applications, particularly in frequency hopping (FH) sequences, is widely acknowledged. This study introduces a novel lower bound for FH sequences with respect to AHC. The new bound is then compared to existing lower bounds through theoretical deduction and simulation, evaluating their performance. The comparative results demonstrate that our newly proposed bound exhibit a considerable enhancement over the previous bounds.