Statistical Behavior of Teager-Kaiser Energy Operator in Presence of White Gaussian Noise

In this work we are interested in the behavior of Teager-Kaiser energy operator (TKEO) applied to a zero-mean white Gaussian noise. For this purpose, we analyze the statistical distribution of the outputs of the TKEO under this noise. We show that the probability density function (pdf) characterizin...

Full description

Saved in:
Bibliographic Details
Published in:IEEE signal processing letters 2020, Vol.27, p.635-639
Main Authors: Preaux, Yves, Boudraa, Abdel-Ouahab
Format: Article
Language:English
Subjects:
Coefficient of variation
Gaussian distribution
Gaussian noise
Kurtosis
Mathematical analysis
Noise
Noise measurement
Oscillators
Probability density function
Probability density functions
Random noise
Signal detection
Signal to noise ratio
Statistical analysis
statistical moments
Teager-Kaiser energy operator
Variance
white Gaussian noise
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work we are interested in the behavior of Teager-Kaiser energy operator (TKEO) applied to a zero-mean white Gaussian noise. For this purpose, we analyze the statistical distribution of the outputs of the TKEO under this noise. We show that the probability density function (pdf) characterizing the output of TKEO, is asymmetric and highly skewed pdf with a stronger peak near the mean, and can be fitted by a shifted Log-Laplace distribution. Some useful moments charactering key aspects of the pdf of TKEO are calculated. We prove that the coefficient of variation, skewness and kurtosis are independent on the variance of the noise, while mean and standard deviation are proportional to this variance. Results of simulations show the interest of TKEO moments for signal detection.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2020.2988172