Operating Characteristics for Detection of a Fading Signal with K Dependent Fades and D-Fold Diversity in M Alternative Locations.

摘要

The probabilities of correct decision and false alarm for a fading signal with K dependent fades and D-fold diversity in M alternative locations are derived and numerically evaluated for a variety of values of K, M, and D, and for a wide range of signal-energy-to-noise-density ratio. It is found that the degradation in performance relative to that for K=1 (NUSC Technical Report 4793) is given by approximately 3.5 log (K) dB, in terms of required additional input signal-to-noise ratio to maintain the same error probabilities. The form of the otimum processor for K = 2 is derived; although it is not difficult to implement, it needs knowledge about the absolute levels of signal and noise and is very difficult to analyze in terms of error probabilities. For partially dependent signal fading and general K, the characteristic function of the decision variables is derived in closed form; however, no numerical evaluations are attempted for this generalization. (Author)