Some useful properties of Teager's energy operators

Authors:
James F. Kaiser
Affiliations:
Department of Electrical and Computer Engineering, Rutgers University, Piscataway, New Jersey
Venue:
ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: digital speech processing - Volume III
Year:
1993

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Abstract

Teager's energy operators are defined in both the continuous and discrete domains and are very useful 'tools' for analyzing single component signals from an energy point-of-view. A number of important properties of these operators are shown that make it possible to determine the energy functions of quite complicated functions provided these functions can be expressed as products of simpler functions, this operation of function multiplication being typical of a modulation process. Some of the eigenfunction properties of the energy operator are also given that illustrate the special role of the trigonometric, Gaussian, and single soliton functions.