New Bounds on Wide-Gap Frequency-Hopping Sequences

In a frequency-hopping (FH) system, to avoid that the received signal would be prone to be interfered, the equipped FH sequence of each user should have wide FH gap, i.e., the adjacent two frequencies should have some gap. In this letter, we extend the Lempel-Greenberger bound and Peng-Fan bounds for wide-gap frequency-hopping sequences (WGFHSs). The proposed bounds are tight in the sense that they can be achieved by the parameters of some WGFHSs.