Title :
Higher order differential energy operators
Author :
Maragos, Petros ; Potamianos, Alexandros
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
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.<>
Keywords :
amplitude modulation; demodulation; differential equations; frequency modulation; parameter estimation; signal sampling; AM-FM demodulation; Teager-Kaiser operator; cross energy; discrete energy operators; energy measurements; extremely short window; higher order differential energy operators; modulated sinusoids; parameter estimation; signal samples; Demodulation; Differential equations; Energy measurement; Frequency; Oscillators; Parameter estimation; Senior members; Signal analysis; Speech; Student members;
Journal_Title :
Signal Processing Letters, IEEE
