Phase-difference distribution for a narrow-band non-Gaussian noise and related statistics

Author

Roberts, John H.

Author_Institution

Plessey Res., Havant, UK

Volume

34

Issue

6

fYear

1988

fDate

11/1/1988 12:00:00 AM

Firstpage

1483

Lastpage

1490

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;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.21287

Filename

21287