Abstract :
A probability density function Pm(R1,R2,Δ) is presented for a narrowband noise process in which R1 and R2 are two envelope samples and Δ is the phase difference. For m=1 the process is Gaussian, but for m=2,3, etc., it is non-Gaussian. New second-order statistical properties are identified for it as well as the density function for the resulting envelope when a signal is added to the noise. These results are given, though the major concern is with the density of the phase difference Δ and the density of θ, the response of an FM detector fed with the noise
Keywords :
electromagnetic interference; information theory; noise; statistics; FM detector; envelope samples; narrowband noise process; narrowband nonGaussian noise; phase difference; phase difference distribution; probability density function; statistics; Additive noise; Density functional theory; Detectors; Electromagnetic interference; Gaussian noise; Narrowband; Phase detection; Phase noise; Probability density function; Satellite broadcasting; Signal processing; Statistical distributions; Working environment noise;