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Journal ArticleDOI

Conditions for positivity of an energy operator

Alan C. Bovik, +1 more
- 01 Feb 1994 - 
- Vol. 42, Iss: 2, pp 469-471
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TLDR
The authors present necessary and sufficient conditions such that the output from the Teager-Kaiser (1989) energy operator /spl lsqb/s/spl dot/(t)=ds(t)/dt/spl r sqb/ /spl Psi//sub c//spl l SQB/s (t)/spl r SQb/=s/ spl dot//sup 2/(t/spl minus/s(t) s/spl uml/(t) for continuous-time
Abstract
The authors present necessary and sufficient conditions such that the output from the Teager-Kaiser (1989) energy operator /spl lsqb/s/spl dot/(t)=ds(t)/dt/spl rsqb/ /spl Psi//sub c//spl lsqb/s(t)/spl rsqb/=s/spl dot//sup 2/(t)/spl minus/s(t)s/spl uml/(t) for continuous-time signals s(t) and the output from the corresponding discrete-time energy operator /spl Psi//sub d//spl lsqb/s(n)/spl rsqb/=s/sup 2/(n)/spl minus/s(n+1)s(n/spl minus/1) be non-negative everywhere. These operators have been shown to be effective for AM and FM demodulation in several useful classes of signals, such as speech and image signals. >

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Citations
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Journal ArticleDOI

Efficient nonlinear algorithm for envelope detection in white light interferometry

TL;DR: The new algorithm is shown to be near optimal in terms of computational efficiency and can be represented as a second-order nonlinear filter and in combination with a carefully designed peak detection method the algorithm exhibits exceptionally good performance on simulated interferograms.
Journal ArticleDOI

AM-FM energy detection and separation in noise using multiband energy operators

TL;DR: It is demonstrated that the performance of the energy operator/ESA approach is vastly improved if the signal is first filtered through a bank of bandpass filters, and at each instant analyzed using the dominant local channel response.
Journal ArticleDOI

Teager energy based feature parameters for speech recognition in car noise

TL;DR: In this article, a new set of speech feature parameters based on multirate signal processing and the Teager energy operator is introduced, which have robust speech recognition performance in the presence of car engine noise.
Journal ArticleDOI

Efficient demodulator for bandpass sampled AM signals

TL;DR: In this paper, a simple nonlinear (quadratic) filter is shown to demodulate bandpass sampled AM signals efficiently, based upon a discrete version of the recently introduced Teager-Kaiser energy operator.
Journal ArticleDOI

Teager–Kaiser energy methods for signal and image analysis: A review

TL;DR: It is shown how this class of TK energy operators can be used to estimate useful features for signals and images analysis in time, space and frequency domains such as instantaneous frequency, second-order moment frequency, coherence function or spatial envelope and phase.
References
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Proceedings ArticleDOI

On a simple algorithm to calculate the 'energy' of a signal

J.F. Kaiser
TL;DR: The results of applying this algorithm to a number of well-known signals are shown and some of the invariance and noise properties of the algorithm are derived and verified by simulation.
Journal ArticleDOI

Energy separation in signal modulations with application to speech analysis

TL;DR: The experimental results provide evidence that bandpass-filtered speech signals around speech formants contain amplitude and frequency modulations within a pitch period, and several efficient algorithms are developed and compared for estimating the amplitude envelope and instantaneous frequency of discrete-time AM-FM signals.
Journal ArticleDOI

On amplitude and frequency demodulation using energy operators

TL;DR: It is shown that the nonlinear energy-tracking signal operator Psi and its discrete-time counterpart can estimate the amplitude envelope of AM signals and the instantaneous frequency of FM signals.
Book ChapterDOI

Evidence for Nonlinear Sound Production Mechanisms in the Vocal Tract

H. M. Teager, +1 more
TL;DR: In this paper, it was shown that the dynamics of the inertia-laden flows leading to various modes of oscillation within the vocal tract are neither passive nor acoustic, and that the pressure across any cross section of the tract is constant and does not exhibit the differentials expected from the markedly different separated flows across that same cross section.
Journal ArticleDOI

AM-FM energy detection and separation in noise using multiband energy operators

TL;DR: It is demonstrated that the performance of the energy operator/ESA approach is vastly improved if the signal is first filtered through a bank of bandpass filters, and at each instant analyzed using the dominant local channel response.
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