Matched frequency-hopping (MFH) signals for slowly fading dispersive channels

The design of channel-matched frequency-hopping (MFH) spread-spectrum signals that overcome the performance degradation caused by the channel dispersion is described. In MFH systems, the used frequency slots are selected such as to correspond to maximum transmission through the communication channel. This is affected by adapting the MFH signals so that the probability density function (PDF) of hopped frequencies matches the transfer function of the communication channel. The performance of MFH signals in multipath slowly fading dispersive channels is evaluated, using a generalized bandpass two-path transfer function model. The performance is compared with that of frequency-hopping (FH) signals with uniformly distributed frequencies for different scenarios of channel parameters. The results clearly show the advantages of MFH transmission.