Title :
Relationship between the Wigner-distribution and the Teager energy
Author :
Hamila, R. ; Cheikh, F.A. ; Vesma, J. ; Astola, J. ; Gabbouj, M.
Author_Institution :
Telecommun. Lab., Tampere Univ. of Technol., Tampere, Finland
Abstract :
The link between the Teager energy (TE) operator and the Wigner distribution (WD) is established in this paper. This link results in a simple way to calculate the second conditional moment in frequency of a Wigner distribution. Furthermore, this link helps explain the negative `energy´ via the Teager operator, and the negative conditional second moment via the Wigner distribution. We present the similarity between the WD and the time-variant periodogram. Also, we calculate the TE of a time-variant finite-time complex spectrum, and the TE of a time-variant periodogram.
Keywords :
Wigner distribution; signal processing; spectral analysis; TE operator; Teager energy operator; Wigner-distribution; negative conditional second moment; time-variant finite-time complex spectrum; time-variant periodogram; Color; Correlation; Fourier transforms; Mathematical model; Signal processing; TV; Time-frequency analysis;
Conference_Titel :
Signal Processing Conference (EUSIPCO 1998), 9th European
Conference_Location :
Rhodes
Print_ISBN :
978-960-7620-06-4
