2020/01/01 by Yves Preaux, Yves Préaux, Abdel-Ouahab Boudraa · 1 citation
Engineering · Physics and Astronomy · #Advanced Electrical Measurement Techniques #Statistical Mechanics and Entropy #stochastic dynamics and bifurcation
paper · doi:10.1109/lsp.2020.2988172
crossref issued 2020/01/01 · crossref published 2020/01/01 · crossref published-print 2020/01/01 · openalex publication_date 2020/01/01 · crossref created 2020/04/20 · crossref deposited 2022/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11 · crossref indexed 2026/07/30
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.