Higher order differential energy operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1995Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Signal Processing Letters, volume 2, pages 152-154 (issn: 1070-9908, eissn: 1558-2361,

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Authors: Petros Maragos; Alexandros Potamianos;

doi: 10.1109/97.404130

Higher order differential energy operators

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Abstract

Instantaneous signal operators /spl Upsi//sub k/(x)=x/spl dot/x/sup (k-1)/-xx/sup (k)/ of integer orders k are proposed to measure the cross energy between a signal x and its derivatives. These higher order differential energy operators contain as a special case, for k=2, the Teager-Kaiser (1990) operator. When applied to (possibly modulated) sinusoids, they yield several new energy measurements useful for parameter estimation or AM-FM demodulation. Applying them to sampled signals involves replacing derivatives with differences that lead to several useful discrete energy operators defined on an extremely short window of samples. >

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Georgia Institute of Technology
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