Error probabilities of frequency-hopped FSK with self-normalization combining in a fading channel with partial-band interference

An error probability analysis is performed for a binary orthogonal frequency-shift-keying (FSK) receiver using frequency-hopped (FH) spread-spectrum waveforms transmitted over a fading channel with partial-band interference. Diversity is implemented using multiple hops per data bit. A nonlinear combination procedure, referred to as self-normalization combining, is used by the receiver to minimize partial-band interference effects. Each diversity reception is assumed to fade independently according to a nonselective Rician process. The partial-band interference is modeled as a Gaussian process. Thermal noise is also included in the analysis. Diversity is found to completely negate degradation of the self-normalization receiver caused by partial-band interference, regardless of the strength of the direct signal component. Diversity offers significant receiver performance improvement when the direct signal component is weak. The self-normalization receiver is very sensitive to fading channels, evincing a significant performance degradation as compared with its nonfaded performance