Effect of multitone jammers on error rates of fast-hopped MFSK signals with no side information

Estimations of the probabilities of bit errors in a fast-hopped M-ary-frequency-shift-keyed (MFSK) signal can be obtained by specifying a range of “scenarios” and an exhaustive set of “subscenarios” for which the occurrence or non-occurrence of symbol errors can be determined. The probability of symbol error for a given scenario is computed as the sum of the probabilities of occurrence of those subscenarios that produce symbol errors. An error is assumed to occur when the channel output of a most-often-jammed channel exceeds that of the channel containing the signal. An efficient method is presented for computing the probabilities of each possible subscenario. In the important case that there is only one jamming tone in the frequency band of a jammed hop, a partitioning technique enables precise calculations of these probabilities even when the number of hops combined is quite large. Monte Carlo techniques plus precise calculations in special cases are used to calculate the probabilities when the number of jamming tones per jammed hop is greater than one