| Abstrakt: |
The probability density functions associated with the envelope and phase of a partially saturated process are derived. The derivation assumes that the single path phases are Gaussian random variables with arbitrary means but with identical variances σ2[variant_greek_theta]. The analysis also includes the effects of Gaussian noise on the statistics. It is shown that in the limit as the standard deviation of the single path phases becomes large (>=π/2), the densities approach previously derived results for fully saturated phase random propagation. In the limit as σ[variant_greek_theta]→0, the densities for unsaturated propagation, namely constant signal plus Gaussian noise, are recovered. The results derived are used for determining the distributions of fades and receiver operating characteristics for a partially saturated process. The fading probability and the signal-to-noise ratio required to detect the partially saturated signal is directly proportional to σ[variant_greek_theta]. [ABSTRACT FROM AUTHOR] |
