On the coding channel capacity and cutoff bate of Frequency-hopping communications with non-ideal interleaving

Frequency-hopping communications over channels with partial band noise jamming, both with and without side information, is considered. The capacity and the cutoff rate are calculated both for the case of ideal interleaving and the case of non-ideal interleaving. It is shown that both the capacity and the cutoff rate decrease with an increase of the interleaving span. When side information is not available, the capacity in the case of non-ideally interleaved channel approaches monotonically the capacity of the ideally interleaved channel as the interleaving span tends to infinity, whereas the cutoff rate behaves in an opposite manner.