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Main Authors: Wang, Zhaolin, Ouyang, Chongjun, Ranasinghe, Kuranage Roche Rayan, Yuan, Shuai S. A., de Abreu, Giuseppe Thadeu Freitas, Björnson, Emil, Liu, Yuanwei
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.12910
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author Wang, Zhaolin
Ouyang, Chongjun
Ranasinghe, Kuranage Roche Rayan
Yuan, Shuai S. A.
de Abreu, Giuseppe Thadeu Freitas
Björnson, Emil
Liu, Yuanwei
author_facet Wang, Zhaolin
Ouyang, Chongjun
Ranasinghe, Kuranage Roche Rayan
Yuan, Shuai S. A.
de Abreu, Giuseppe Thadeu Freitas
Björnson, Emil
Liu, Yuanwei
contents Emerging wireless systems are evolving toward larger, denser, higher-frequency, and more reconfigurable apertures, which motivates the study of continuous-aperture arrays (CAPAs). Unlike conventional spatially discrete arrays (SPDAs), CAPAs are more naturally modeled as spatially continuous electromagnetic apertures and therefore call for a fundamental shift in both signal processing and information-theoretic analysis. In particular, the underlying channels, signals, and beamformers are no longer finite-dimensional vectors and matrices, but continuous fields and operators governed by Maxwell's equations. This paper provides a tutorial overview of CAPA systems from the perspective of electromagnetic signal and information theory (ESIT), with an emphasis on the transition from discrete array models to physics-consistent continuous-aperture formulations. We review the electromagnetic foundations of CAPAs, practical hardware implementations, line-of-sight and multipath channel modeling, continuous-space beamforming and channel estimation, and the fundamental degrees of freedom and capacity limits of CAPA systems. We also highlight how tools such as wavenumber-domain methods, functional analysis, and compressive sensing can transform challenging infinite-dimensional problems into tractable finite-dimensional ones while preserving the essential physical structure of the channel. Overall, this tutorial aims to clarify the key principles, analytical tools, and open challenges that shape CAPA-enabled wireless communications.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12910
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Electromagnetic Signal and Information Theory: A Continuous-Aperture Array Perspective
Wang, Zhaolin
Ouyang, Chongjun
Ranasinghe, Kuranage Roche Rayan
Yuan, Shuai S. A.
de Abreu, Giuseppe Thadeu Freitas
Björnson, Emil
Liu, Yuanwei
Information Theory
Emerging wireless systems are evolving toward larger, denser, higher-frequency, and more reconfigurable apertures, which motivates the study of continuous-aperture arrays (CAPAs). Unlike conventional spatially discrete arrays (SPDAs), CAPAs are more naturally modeled as spatially continuous electromagnetic apertures and therefore call for a fundamental shift in both signal processing and information-theoretic analysis. In particular, the underlying channels, signals, and beamformers are no longer finite-dimensional vectors and matrices, but continuous fields and operators governed by Maxwell's equations. This paper provides a tutorial overview of CAPA systems from the perspective of electromagnetic signal and information theory (ESIT), with an emphasis on the transition from discrete array models to physics-consistent continuous-aperture formulations. We review the electromagnetic foundations of CAPAs, practical hardware implementations, line-of-sight and multipath channel modeling, continuous-space beamforming and channel estimation, and the fundamental degrees of freedom and capacity limits of CAPA systems. We also highlight how tools such as wavenumber-domain methods, functional analysis, and compressive sensing can transform challenging infinite-dimensional problems into tractable finite-dimensional ones while preserving the essential physical structure of the channel. Overall, this tutorial aims to clarify the key principles, analytical tools, and open challenges that shape CAPA-enabled wireless communications.
title Electromagnetic Signal and Information Theory: A Continuous-Aperture Array Perspective
topic Information Theory
url https://arxiv.org/abs/2605.12910