Andrea Pizzo’s research while affiliated with Pompeu Fabra University and other places

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Publications (32)


Fig. 1: Multiantenna circuit model. Each transmit antenna is driven by an ideal zero-impedance current source, which is the Norton equivalent of a source with an infinite impedance in parallel. In turn, each receive antenna is connected to an infinite-impedance voltmeter, such that no current is drawn from antennas.
Fig. 2: Mutual coupling between spatially causal antennas centered at s and r. Top: the coupling between punctiform antennas takes the form of a spherical wave from s to r. Bottom: physical antennas with arbitrary responses, at(·); the coupling arises from the superposition of spherical waves emitted from points p on the transmitting antenna's skin and received at points q on the receiving antenna's skin.
Fig. 3: Normalized sorted eigenvalues of the transmit correlation matrix in an isotropic channel. UPA with uncoupled antennas spaced by λ/2 and aperture 20λ. The solid line indicates the exact channel in (76), circles denote its Fourier approximation in (73).
Fig. 4: Normalized sorted eigenvalues of the transmit correlation matrix under isotropic scattering. UPA with omnidirectional antennas (ρ = 0.01) spaced by λ/2 and aperture 20λ. The solid line is for the exact channel in (88), circles for its Fourier approximation in (86).
Fig. 5: Having the antenna power pattern match or counter the fading spectrum respectively reduces or enhances spatial correlation. For a fixed antenna count, reducing correlation appears to expand the antenna separation, hence the aperture, while increasing correlation is interchangeable with compressing the antennas, hence the aperture.

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Mutual Coupling in Holographic MIMO: Physical Modeling and Information-Theoretic Analysis
  • Preprint
  • File available

February 2025

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17 Reads

Andrea Pizzo

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Angel Lozano

This paper presents a comprehensive framework for holographic multiantenna communication, a paradigm that integrates both wide apertures and closely spaced antennas relative to the wavelength. The presented framework is physically grounded, enabling information-theoretic analyses that inherently incorporate correlation and mutual coupling among the antennas. This establishes the combined effects of correlation and coupling on the information-theoretic performance limits across SNR levels. Additionally, it reveals that, by suitably selecting the individual antenna patterns, mutual coupling can be harnessed to either reinforce or counter spatial correlations as appropriate for specific SNRs, thereby improving the performance.

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Wide-Aperture MIMO via Reflection off a Smooth Surface

August 2023

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40 Reads

This paper provides a deterministic channel model for a scenario where wireless connectivity is established through a reflection off a smooth planar surface of an infinite extent. The developed model is rigorously built upon the physics of wave propagation and is as precise as tight are the unboundedness and smoothness assumptions on the surface. This model allows establishing how line-of-sight multiantenna communication is altered by a reflection off an electrically large surface, a situation of high interest for mmWave and terahertz frequencies.


Wide-Aperture MIMO via Reflection off a Smooth Surface

August 2023

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16 Reads

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16 Citations

IEEE Transactions on Wireless Communications

This paper provides a deterministic channel model for a scenario where wireless connectivity is established through a reflection off a smooth planar surface of an infinite extent. The developed model is rigorously built upon the physics of wave propagation and is as precise as tight are the unboundedness and smoothness assumptions on the surface. This model allows establishing how line-of-sight multiantenna communication is altered by a reflection off an electrically large surface, a situation of high interest for mmWave and terahertz frequencies.


On Landau’s Eigenvalue Theorem for Line-of-Sight MIMO Channels

December 2022

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11 Reads

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22 Citations

IEEE Wireless Communications Letters

An alternative derivation is provided for the degrees of freedom (DOF) formula on line-of-sight (LOS) channels via Landau’s eigenvalue theorem for bandlimited signals. Compared to other approaches, Landau’s theorem provides a general framework to compute the DOF in arbitrary environments, this framework is herein specialized to LOS propagation. The development shows how the spatially bandlimited nature of the channel relates to its geometry under the paraxial approximation that applies to most LOS settings of interest.


On Landau's Eigenvalue Theorem for Line-of-Sight MIMO Channels

October 2022

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7 Reads

An alternative derivation is provided for the degrees of freedom (DOF) formula on line-of-sight (LOS) channels via Landau's eigenvalue theorem for bandlimited signals. Compared to other approaches, Landau's theorem provides a general framework to compute the DOF in arbitrary environments, this framework is herein specialized to LOS propagation. The development shows how the spatially bandlimited nature of the channel relates to its geometry under the paraxial approximation that applies to most LOS settings of interest.


Fourier Plane-Wave Series Expansion for Holographic MIMO Communications

September 2022

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27 Reads

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199 Citations

IEEE Transactions on Wireless Communications

Imagine a MIMO communication system that fully exploits the propagation characteristics offered by an electromagnetic channel and ultimately approaches the limits imposed by wireless communications. This is the concept of Holographic MIMO communications. Accurate and tractable channel modeling is critical to understanding its full potential. Classical stochastic models used by communications theorists are derived under the electromagnetic far-field assumption, i.e. planar wave approximation over the array. However, such assumption breaks down when electromagnetically large (compared to the wavelength) antenna arrays are considered. In this paper, we start from the first principles of wave propagation and provide a Fourier plane-wave series expansion of the channel response, which fully captures the essence of electromagnetic propagation in arbitrary scattering and is also valid in the (radiative) near-field. The expansion is based on the Fourier spectral representation and has an intuitive physical interpretation, as it statistically describes the angular coupling between source and receiver. When discretized uniformly, it leads to a low-rank semi-unitarily equivalent approximation of the electromagnetic channel in the angular domain. The developed channel model is used to compute the ergodic capacity of a point-to-point Holographic MIMO system with different degrees of channel state information.



Line-of-Sight MIMO via Reflection From a Smooth Surface

May 2022

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101 Reads

We provide a deterministic channel model for a scenario where wireless connectivity is established through a reflection from a planar smooth surface of an infinite extent. The developed model is rigorously built upon the physics of wave propagation, and is as precise as tight are the unboundedness and smoothness assumptions on the surface. This model allows establishing that line-of-sight spatial multiplexing can take place via reflection off an electrically large surface, a situation of high interest for mmWave and terahertz frequencies.


Citations (16)


... To address this, innovative antenna configurations like Reflectarrays and Reflective Intelligent Surfaces (RIS) have been explored [3]- [5]. RIS, in particular, has been studied to modify wireless channels, but its effectiveness in the far field is limited by signal strength unless the RIS size is impractically large, even for indoor applications [6]. ...

Reference:

A Modular Pragmatic Architecture for Multiuser MIMO with Array-Fed RIS
RIS in Indoor Environments: Benchmarking Against Ambient Propagation
  • Citing Conference Paper
  • October 2023

... In Section II-C, we demonstrate that power-optimal beam focusing naturally exploits multipath propagation. This effectively enlarges the transmit aperture [8], improving both the WPT efficiency and regulatory compliance. In Section III, we show that unprecedented receive power levels will necessitate new integrated circuit architectures that enable EN devices to operate efficiently over a wide dynamic range. ...

Wide-Aperture MIMO via Reflection off a Smooth Surface
  • Citing Article
  • August 2023

IEEE Transactions on Wireless Communications

... In this model, since the ULA is located on the x-axis, the sampling theorem is given by ∆ < π kx [42], where k x ∈ R + denotes the magnitude of the transverse component of the wave vector, which satisfies k = k 2 ...

Nyquist Sampling and Degrees of Freedom of Electromagnetic Fields
  • Citing Article
  • January 2022

IEEE Transactions on Signal Processing

... In particular, the coupling surges as the spacing falls below the Nyquist distance, which is precisely the defining attribute of holographic MIMO. Therefore, while uncoupled formulations have been valuable in understanding fading correlation among the antennas [6]- [8], ignoring coupling is ill-advised in holographic MIMO. In recognition of this reality, this paper introduces a unifying linear system-theoretic framework that intrinsically incorporates both correlation and coupling among the transmitting antennas. ...

Spatial Characterization of Electromagnetic Random Channels

IEEE Open Journal of the Communications Society

... The intrinsic spherical wavefront characteristics allow it to harvest the full spatial multiplexing gain even under strong line-of-sight (LoS) propagation conditions [11]. Furthermore, metasurfaces enable EM operations at an unprecedented level of resolution [12], [13], underpinning the concept of holographic multiple-input and multiple-output (MIMO) communications by modeling an LIS as a near-continuous array of a massive number of infinitesimally small antennas [14], [15]. ...

Fourier Plane-Wave Series Expansion for Holographic MIMO Communications
  • Citing Article
  • September 2022

IEEE Transactions on Wireless Communications

... From an EM viewpoint, recent studies by Pizzo, Marzetta, and others provide methods to characterize the communication channel for a near-field massive antenna array within the wavenumber domain (Pizzo, 2020a(Pizzo, , 2020b(Pizzo, , 2022a. The core concept involves reconstructing the holographic MIMO (HMIMO) channel through Fourier expansion, modeling it with a finite set of sampling points in the wavenumber domain (Fig. 12). ...

Holographic MIMO Communications Under Spatially-Stationary Scattering
  • Citing Conference Paper
  • November 2020

... The main result is that 2/λ terminals per meter can be spatially multiplexed for one-dimensional terminal deployments, while π/λ 2 terminals can be spatially multiplexed per square meter for two-and three-dimensional terminal deployments. The authors of [11] derived the DoF of a point-to-point HMIMO system with isotropic scattering. The main result is that the DoF is 2L x /λ for one-dimensional linear arrays, πL x L y /λ 2 for two-dimensional planar arrays, and 2πL x L y /λ 2 for threedimensional volumetric arrays, where L x , L y are the lengths of the arrays. ...

Degrees of Freedom of Holographic MIMO Channels
  • Citing Conference Paper
  • May 2020