Electromagnetic Channel Statistics for Continuous-Aperture Array (CAPA) Systems

TL;DR

This paper analyzes the electromagnetic channel statistics of continuous-aperture array systems, deriving closed-form expressions for SNR distribution and capacity, validated through numerical results under isotropic scattering.

Contribution

It introduces a novel analysis of CAPA channel statistics using electromagnetic properties and Landau's theorem, providing new closed-form expressions for SNR and capacity.

Findings

Eigenvalues of EM fading channels show step-like behavior.

Closed-form expressions for SNR distribution are derived.

Numerical results confirm the accuracy of the theoretical derivations.

Abstract

The channel statistics of a continuous-aperture array (CAPA)-based channel are analyzed using its continuous electromagnetic (EM) properties. The received signal-to-noise ratio (SNR) is discussed under isotropic scattering conditions. Using Landau's theorem, the eigenvalues of the autocorrelation of the EM fading channel are shown to exhibit a step-like behavior. Building on this, closed-form expressions for the probability distribution of the SNR and the average channel capacity are derived. Numerical results are provided to validate the accuracy of the derivations.