On The Use of Conjugate Teager-Kaiser Energy Operators with Matched Filters

TL;DR

This paper explores the application of conjugate Teager-Kaiser energy operators within matched filters to improve signal detection in multipath fading channels, leveraging signal decomposition techniques.

Contribution

It introduces a novel approach using energy operator theory with conjugate Teager-Kaiser operators in matched filters for multipath channel signal detection.

Findings

Effective decomposition of signals into subchannels with individual SNRs

Proof of concept demonstrated for energy operator-based detection

Potential for improved detection in multipath environments

Abstract

This work presents the proof of concept of using energy operator theory based on the conjugate Teager-Kaiser energy operators in matched filters for signal detection in multipath fading channels. To do so, we consider signals in the space $\mathcal{S}(\mathbb{R})$ a subspace of the Schwartz space $\mathbf{S}^-(\mathbb{R})$ in order to approximate the received signal. These functions obey to some specific properties as shown in this work. It allows to decompose the received signals into subchannels with their own Signal-to-Noise-Ratio.