7Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.
Get full text

Abstract

This paper introduces a new multi-dimensional higher order operator derived from the Teager-Kaiser energy-tracking function. A mathematical model which integrates different existing non-linear operators at any orders is constructed. The proposed non-linear continuous filter is computed using tensors provided by the Kronecker products of higher order derivatives of the signal. In particular, the introduced operator takes into account the diagonal directions through the partial derivatives. We prove that there is a recurrence relationship that allows us to deduce all functions at different orders. To show the effectiveness of the proposed operator, demodulation of noisy multi-dimensional amplitude-modulation (AM)-frequency-modulation (FM) signals are presented and results compared to those of some well-known demodulation approaches. © 2008 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Salzenstein, F., & Boudraa, A. O. (2009). Multi-dimensional higher order differential operators derived from the Teager-Kaiser energy-tracking function. Signal Processing, 89(4), 623–640. https://doi.org/10.1016/j.sigpro.2008.10.017

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free