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Channel Orthogonalization With Reconfigurable Surfaces : General Models, Theoretical Limits, and Effective Configuration

Alegria, Juan Vidal LU orcid ; Thunberg, Johan LU and Edfors, Ove LU orcid (2025) In IEEE Transactions on Wireless Communications 24(6). p.5179-5195
Abstract

We envision a future in which multi-antenna technology effectively exploits the spatial domain as a set of non-interfering orthogonal resources, allowing for flexible resource allocation and efficient modulation/demodulation. We may refer to this paradigm as orthogonal space-division multiplexing (OSDM). On the other hand, reconfigurable intelligent surface (RIS) has emerged as a promising technology which allows shaping the propagation environment for improved performance. This paper studies the ability of three extended types of reconfigurable surface (RS), including the recently proposed beyond diagonal RIS (BD-RIS), to achieve perfectly orthogonal channels in a general multi-user multiple-input multiple-output (MU-MIMO) scenario. We... (More)

We envision a future in which multi-antenna technology effectively exploits the spatial domain as a set of non-interfering orthogonal resources, allowing for flexible resource allocation and efficient modulation/demodulation. We may refer to this paradigm as orthogonal space-division multiplexing (OSDM). On the other hand, reconfigurable intelligent surface (RIS) has emerged as a promising technology which allows shaping the propagation environment for improved performance. This paper studies the ability of three extended types of reconfigurable surface (RS), including the recently proposed beyond diagonal RIS (BD-RIS), to achieve perfectly orthogonal channels in a general multi-user multiple-input multiple-output (MU-MIMO) scenario. We consider practical implementations for the three types of RS consisting of passive components, and obtain the corresponding restrictions on their reconfigurability. We then use these restrictions to derive closed-form conditions and explicit expressions for achieving arbitrary (orthogonal) channels. We also study the problem of exploiting the degrees of freedom (DoFs) from the channel orthogonality constraint to maximize the channel gain while maintaining the passive RS constraints, and we propose some initial methods with satisfying performance. Finally, we provide some channel estimation and RS configuration techniques within this framework, where the computations are assumed to be performed at the BS, and we derive some limits on the amount of overhead required to achieve channel orthogonalization with RSs. The numerical results confirm the theoretical findings, showing that channel orthogonality with passive RSs can be effectively achieved in practical environments as long as the direct channel is not significant with respect to the RS cascaded channel. We thus take some important steps towards realizing OSDM.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
beyond diagonal reconfigurable intelligent surface (BD-RIS), channel orthogonalization, MU-MIMO, orthogonal spatial domain multiplexing (OSDM), Reconfigurable surface (RS)
in
IEEE Transactions on Wireless Communications
volume
24
issue
6
pages
17 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:86000466940
ISSN
1536-1276
DOI
10.1109/TWC.2025.3546429
language
English
LU publication?
yes
id
e556c96f-51c0-42eb-82ec-0c92e59b8b17
date added to LUP
2025-06-26 08:08:13
date last changed
2025-06-26 08:08:52
@article{e556c96f-51c0-42eb-82ec-0c92e59b8b17,
  abstract     = {{<p>We envision a future in which multi-antenna technology effectively exploits the spatial domain as a set of non-interfering orthogonal resources, allowing for flexible resource allocation and efficient modulation/demodulation. We may refer to this paradigm as orthogonal space-division multiplexing (OSDM). On the other hand, reconfigurable intelligent surface (RIS) has emerged as a promising technology which allows shaping the propagation environment for improved performance. This paper studies the ability of three extended types of reconfigurable surface (RS), including the recently proposed beyond diagonal RIS (BD-RIS), to achieve perfectly orthogonal channels in a general multi-user multiple-input multiple-output (MU-MIMO) scenario. We consider practical implementations for the three types of RS consisting of passive components, and obtain the corresponding restrictions on their reconfigurability. We then use these restrictions to derive closed-form conditions and explicit expressions for achieving arbitrary (orthogonal) channels. We also study the problem of exploiting the degrees of freedom (DoFs) from the channel orthogonality constraint to maximize the channel gain while maintaining the passive RS constraints, and we propose some initial methods with satisfying performance. Finally, we provide some channel estimation and RS configuration techniques within this framework, where the computations are assumed to be performed at the BS, and we derive some limits on the amount of overhead required to achieve channel orthogonalization with RSs. The numerical results confirm the theoretical findings, showing that channel orthogonality with passive RSs can be effectively achieved in practical environments as long as the direct channel is not significant with respect to the RS cascaded channel. We thus take some important steps towards realizing OSDM.</p>}},
  author       = {{Alegria, Juan Vidal and Thunberg, Johan and Edfors, Ove}},
  issn         = {{1536-1276}},
  keywords     = {{beyond diagonal reconfigurable intelligent surface (BD-RIS); channel orthogonalization; MU-MIMO; orthogonal spatial domain multiplexing (OSDM); Reconfigurable surface (RS)}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{5179--5195}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Wireless Communications}},
  title        = {{Channel Orthogonalization With Reconfigurable Surfaces : General Models, Theoretical Limits, and Effective Configuration}},
  url          = {{http://dx.doi.org/10.1109/TWC.2025.3546429}},
  doi          = {{10.1109/TWC.2025.3546429}},
  volume       = {{24}},
  year         = {{2025}},
}