A distribution derived from a bivariate normal distribution
Abstract
Consideration of the statistical characteristics of the probability density describing the distribution of certain random variables figuring in the analysis of communication systems with incoherent reception. A study is made of the abovementioned characteristics of a transformation by means of which the random variables to be analyzed are obtained from a pair of random Gaussian variables, in the case where these latter variables are neither statistically independent nor possess equal variance. Certain cases of practical interest are then discussed in which such conditions are verified, and, as an example of application, the classical problem of incoherent reception of onoff signals is reexamined, showing that small deviations from the ideal conditions, where the two abovementioned random variables are statistically independent and have equal variance, have practically no effect on the system performance.
 Publication:

Alta Frequenza
 Pub Date:
 August 1974
 Bibcode:
 1974AlFr...43..493P
 Keywords:

 Communication Theory;
 Multivariate Statistical Analysis;
 Network Analysis;
 Normal Density Functions;
 Signal Reception;
 Adaptive Filters;
 Asymptotes;
 Probability Density Functions;
 Random Variables;
 Rayleigh Distribution;
 Vector Analysis;
 Communications and Radar