Evaluation of a partial-band jammer with Gaussian-shaped spectrum against FH/MFSK

It is often assumed in system analyses that a partial-band noise jammer against a frequency-hopped M-ary frequency shift keying (FHMFSK) communication system has a rectangular spectrum. The rectangular spectrum is, of course, unrealizable, and so it is of interest to consider more realistic spectrums, such as those where a jammer uses a bandpass filter before amplifying the jamming noise. In this paper, a Gaussian-shaped filter is used to represent a class of bandpass filters. Clearly, this is a more realistic shape than the ideal rectangular shape. In addition, it can be analyzed easily by a reasonable approximation, i.e., a Gaussian-shaped spectrum that is constant over each hopped M-ary signaling band. Numerical results indicate that such a Gaussian-shaped partial-band noise jammer has nearly the same effects as an ideal rectangular-shaped partial-band noise jammer with an equivalent bandwidth.