Error probabilities of fast frequency-hopped FSK with self-normalization combining in a fading channel with partial-band interference
Robertson, R. Clark
Ha, Tri T.
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An error probability analysis is performed for a binary orthogonal frequency-shift-keying (FSK) receiver employing fast frequency-hopped spread-spectrum waveforms transmitted over a frequency-nonselective slowly fading channel with partial-band interference. Diversity is performed using multiple hops per data bit. A nonlinear combination procedure referred to as self-normalization combining is employed by the receiver to minimize partial-band interference effects. Each diversity reception is assumed to fade independently according to a 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-normalized receiver caused by partial-band interference regardless of the strength of the direct signal component; although, for signals with a large bit energy-to-interference noise density ratio and a very strong direct component, nonlinear combining losses dominate receiver performance and negate any enhancement obtained with diversity if the level of thermal noise is too high. In addition, diversity offers definite receiver performance improvement when the direct signal component is weak. The self-normalized receiver is very sensitive to fading channels, evincing a significant performance degradation as compared with its nonfaded performance. For severe channel fading, the performance of a conventional noncoherent binary FSK receiver with diversity is generally either equivalent or superior to the performance of the self-normalized receiver with the same order of diversity.
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