On The Use of Conjugate Teager-Kaiser Energy Operators with Matched Filters
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2016
- DOI:
- 10.48550/arXiv.1607.03671
- arXiv:
- arXiv:1607.03671
- Bibcode:
- 2016arXiv160703671M
- Keywords:
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- Computer Science - Information Theory;
- Mathematics - Numerical Analysis;
- 94A12;
- 94A15;
- 90C25;
- 46A11;
- 34L30
- E-Print:
- Working Paper, 8 pages, 1 Figure