Relationship between the Wigner-distribution and the Teager energy

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.