Title :
On a recursive formula for the moments of phase noise
Author :
Monroy, Idelfonso Tafur ; Hooghiemstra, Gerard
Author_Institution :
Dept. of Telecomun. Technol. & Electromagn., Eindhoven Univ. of Technol., Netherlands
fDate :
6/1/2000 12:00:00 AM
Abstract :
We present a recursive formula for the moments of phase noise in communication systems. The phase noise is modeled using continuous Brownian motion. The recursion is simple and valid for an arbitrary initial phase value. The moments obtained bp the recursion are used to calculate approximations to the probability density function of the phase noise, using orthogonal polynomial series expansions and a maximum entropy criterion
Keywords :
Brownian motion; maximum entropy methods; phase noise; polynomial approximation; probability; recursive estimation; series (mathematics); PDF approximation; communication systems; continuous Brownian motion; maximum entropy criterion; orthogonal polynomial series expansions; phase noise moments; probability density function; recursive formula; Entropy; Laplace equations; Motion measurement; Optical fiber communication; Optical noise; Optical sensors; Phase noise; Polynomials; Probability density function; Random variables;
Journal_Title :
Communications, IEEE Transactions on
