On The Use of Conjugate Teager-Kaiser Energy Operators with Matched Filters
For signal processing researchers, this is an incremental theoretical extension of energy operator theory to matched filters.
This work introduces a proof of concept for using conjugate Teager-Kaiser energy operators in matched filters to detect signals in multipath fading channels, enabling decomposition of received signals into subchannels with individual SNRs.
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.