Open AccessEnvelope and phase statistics of Cauchy quadratures
Author(s) -
Li Yawei,
Li Xiaofeng,
Beaulieu Norman C.,
Fu Zhizhong
Publication year - 2016
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2016.1127
Subject(s) - cauchy distribution , envelope (radar) , mathematics , statistics , gaussian , probability density function , cumulative distribution function , phase (matter) , mathematical analysis , physics , quantum mechanics , engineering , telecommunications , radar
Non‐Gaussian quadratures, especially Cauchy quadratures, are widely used to model impulsive noise environments. The envelope and phase statistics of Cauchy quadratures are investigated. The probability density functions and cumulative distribution functions of the envelope and phase of Cauchy quadratures are given in closed‐form expression. The characteristics of the derived distributions are also discussed.