Analytical Characterization of the Operational Diversity Order in Fading Channels
Information Theory
2024-11-15 v3 Signal Processing
math.IT
Abstract
We introduce and characterize the operational diversity order (ODO) in fading channels, as a proxy to the classical notion of diversity order at any arbitrary operational signal-to-noise ratio (SNR). Thanks to this definition, relevant insights are brought up in a number of cases: (i) We quantify that in dominant line-of-sight scenarios an increased diversity order is attainable compared to that achieved asymptotically, even in the single-antenna case; (ii) this effect is attenuated, but still visible, in the presence of an additional dominant specular component; (iii) the decay slope in Rayleigh product channels increases very slowly, never fully achieving unitary slope for a finite SNR.
Cite
@article{arxiv.2405.09336,
title = {Analytical Characterization of the Operational Diversity Order in Fading Channels},
author = {Santiago Fernández and J. Alfonso Bailón-Martínez and Juan E. Galeote-Cazorla and F. Javier López-Martínez},
journal= {arXiv preprint arXiv:2405.09336},
year = {2024}
}