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Reconfigurable Intelligent Surfaces vs. Relaying: Differences, Similarities, and Performance Comparison

M. Di Renzo, K. Ntontin, J. Song, F. H. Danufane, X. Qian, F. Lazarakis, J. de Rosny, D. -T. Phan-Huy, O. Simeone, R. Zhang, M. Debbah, G. Lerosey, M. Fink, S. Tretyakov, S. Shamai

arXiv:1908.08747v2eess.SPcs.IT

TL;DR

The paper compares RISs configured as anomalous reflectors with relays in high-frequency wireless networks using scaling laws and numerical simulations. It finds that sufficiently large RISs can outperform relay-aided systems in data rate while reducing implementation complexity, but accurate modeling, experimental validation, and low-overhead control remain open challenges.

Abstract

from arXiv · show

Reconfigurable intelligent surfaces (RISs) have the potential of realizing the emerging concept of smart radio environments by leveraging the unique properties of meta-surfaces. In this article, we discuss the potential applications of RISs in wireless networks that operate at high-frequency bands, e.g., millimeter wave (30-100 GHz) and sub-millimeter wave (greater than 100 GHz) frequencies. When used in wireless networks, RISs may operate in a manner similar to relays. This paper elaborates on the key differences and similarities between RISs that are configured to operate as anomalous reflectors and relays. In particular, we illustrate numerical results that highlight the spectral efficiency gains of RISs when their size is sufficiently large as compared with the wavelength of the radio waves. In addition, we discuss key open issues that need to be addressed for unlocking the potential benefits of RISs.

INTRODUCTION

High-frequency wireless links offer capacity potential but are vulnerable to blockages and attenuation, motivating alternative propagation routes. RISs extend this idea by making wave manipulation programmable after deployment, unlike static reflectors.

RECONFIGURABLE INTELLIGENT SURFACES

RISs are thin electromagnetic surfaces whose sub-wavelength elements can be arranged and electronically programmed to shape incident radio waves. Their reconfigurability enables control after fabrication but requires limited control energy.

  • An RIS is an artificial electromagnetic surface that customizes the propagation of incident radio waves.Source: A. What is an RIS? · p. 2
  • Meta-surfaces are thin, sub-wavelength sheets made from sub-wavelength metallic or dielectric scattering particles called meta-atoms or unit-cells.Source: A. What is an RIS? · p. 2
  • Non-reconfigurable meta-surfaces have fixed structural arrangements, whereas reconfigurable meta-surfaces can be modified and programmed using external stimuli.Source: B. Reconfigurable Meta-Surfaces · p. 2
  • Electronic phase-changing components control switches or tunable elements, allowing the scattered wavefront to be manipulated and optimized.Source: B. Reconfigurable Meta-Surfaces · p. 2
  • Reconfigurable surfaces are nearly passive: control circuitry consumes energy, but configured signal transmission requires no dedicated power supply.Source: B. Reconfigurable Meta-Surfaces · p. 2

C. Uses of RISs in Wireless Communications

RISs support multiple operational roles, from directional reflection and focusing to encoding and scattering engineering. The paper emphasizes anomalous reflectors as a basic mechanism for manipulating waves around environmental objects.

  • RIS applications include anomalous reflection or transmission, beamforming or focusing, joint transmitter/RIS encoding, and single-RF multi-stream transmission.Source: C. Uses of RISs in Wireless… · p. 2

Anomalous reflection/transmission

  • Anomalous reflection steers waves toward specified directions independently of fading channels and receiver locations, but generally does not maximize signal-to-noise ratio.Source: C. Uses of RISs in Wireless… · p. 2

Beamforming/focusing

  • Beamforming or focusing maximizes signal-to-noise ratio at selected locations, but its optimization depends on fading channels and receiver locations.Source: C. Uses of RISs in Wireless… · p. 2

Joint transmitter/RIS encoding

Single-RF multi-stream transmitter design

Scattering engineering

  • The paper primarily studies anomalous-reflector RISs as fundamental elements for manipulating waves around environmental objects and realizing smart radio environments.Source: C. Uses of RISs in Wireless… · p. 3

WIRELESS 2.0: SMART RADIO ENVIRONMENTS

Smart radio environments treat propagation as a controllable design variable rather than an exogenous impairment. RISs apply this principle to redirect signals, suppress interference, improve security, and create richer scattering.

Signal engineering

Interference engineering

Security engineering

Scattering engineering

RECONFIGURABLE INTELLIGENT SURFACES VS. RELAYING

RIS anomalous reflectors and relays share some communication roles but differ in hardware, noise, duplexing, and signal-processing requirements. RISs avoid additive noise and certain relay constraints, while nearly-passive operation prevents amplification or regeneration.

  • RISs and relays are compared qualitatively here, with quantitative performance comparisons presented in the following section.Source: RECONFIGURABLE INTELLIGENT SURFACES… · p. 3
  • Relays use powered active components such as DACs, ADCs, mixers, power amplifiers, and low-noise amplifiers for reception and transmission.These components support decode-and-forward and amplify-and-forward relaying.Source: A. Hardware Complexity · p. 3
  • RISs use metallic or dielectric patches with low-power switches or varactors, typically avoiding dedicated power amplifiers, mixers, and DACs/ADCs.The paper envisions lower complexity, particularly with inexpensive large-area electronics.Source: A. Hardware Complexity · p. 4

Noise

  • Relay active components introduce additive noise; amplify-and-forward relays amplify noise, while decode-and-forward reduces it through regeneration at higher complexity and power consumption.Full-duplex relaying also suffers from residual loop-back self-interference.Source: B. Noise · p. 4
  • RIS anomalous reflectors avoid additive noise but may experience phase noise and, when nearly passive, cannot amplify or regenerate signals.Source: B. Noise · p. 4
  • RIS anomalous reflectors avoid half-duplex rate loss and loop-back self-interference, and their reflection coefficients can combine transmitter- and RIS-received signals.Source: C. Spectral Efficiency · p. 4

D. Power Budget

Relays allocate RF power between the transmitter and relay and require independent power for transmission and electronics. RISs can operate nearly passively, while their received signal-to-noise ratio scales more favorably with the number of tunable elements.

Power requirements

  • Relays require an independent power source for signal transmission and electronic components.Source: D. Power Budget · p. 4
  • RISs can use passive components with low-power switches or varactors, making energy harvesting suitable for close-to-passive implementations.Source: D. Power Budget · p. 4

RF power allocation

  • RISs place the total RF power at the transmitter, while reflected power depends on an optimizable surface transmittance and equals impinging power ideally.Source: D. Power Budget · p. 4

Scaling with N

N reconfigurable meta-surfaces,

RIS distance behavior depends on whether its physical size is electrically large or small relative to wavelength and transmission distances. Electrically large RISs behave as anomalous mirrors, whereas electrically small RISs behave as diffusers and share AF-relay received-power scaling.

Geometry and assumptions

  • The analysis assumes a two-dimensional source-relay/RIS-receiver geometry with equal-distance notation based on dSR and dRD.A relay is at the origin, and a one-dimensional RIS of length 2L is centered there.Source: F. Average Signal-to-Noise Ratio vs.… · p. 4

Relay scaling

RIS regimes

  • RIS distance scaling depends on its geometric size, wavelength, and relative transmitter-to-RIS and RIS-to-receiver distances.The paper analyzes electrically large and electrically small regimes.Source: F. Average Signal-to-Noise Ratio vs.… · p. 5

Electrically large RISs

  • Electrically large RISs behave asymptotically as anomalous mirrors when their size is large relative to wavelength and transmission distances.Received power and average end-to-end signal-to-noise ratio scale as (αkdSR + βkdRD)^-1.Source: F. Average Signal-to-Noise Ratio vs.… · p. 5

Electrically small RISs

  • Electrically small RISs behave asymptotically as diffusers and scale as 4L^2(dSRdRD)^-1, matching AF-relay received-power scaling.Their end-to-end signal-to-noise ratio also depends on RIS length 2L.Source: F. Average Signal-to-Noise Ratio vs.… · p. 5

Prototype scale

G. Takeaway Messages from the Comparison

RIS and relay performance depends jointly on transmission distance and RIS size. Electrically large RISs can offer similar distance scaling with relay transmission, while sufficiently large RISs may outperform relays.

Comparison setup

Short distances

Long distances

  • Electrically small RISs have less favorable distance scaling than relays for long distances d0.Source: G. Takeaway Messages from the Comparison · p. 5
  • A sufficiently large electrically small RIS can still potentially outperform relay-aided transmission because its average end-to-end signal-to-noise ratio scales quadratically with size.The paper concludes that RIS-aided transmission may outperform relaying when RIS size is sufficiently large.Source: G. Takeaway Messages from the Comparison · p. 5

NUMERICAL RESULTS

The numerical study compares a single RIS with a single relay under symmetric placement and a shared total-power constraint. It evaluates data-rate behavior versus transmission frequency and RIS size using analytical models.

Evaluation setup

  • The study considers one relay and one RIS, located equidistantly from the transmitter and receiver.DF relaying is used for the relay results, while ideal full-duplex performance is also reported.Source: NUMERICAL RESULTS · pp. 5–6

Evaluated comparisons

  • Fig. 4 compares RIS and relay data rate as a function of transmission frequency.Source: Figure 4 · p. 6
  • Fig. 5 compares RIS and relay data rate as a function of RIS size.Source: Figure 5 · p. 6

Evaluation setup

  • A total power constraint splits the available power equally between the transmitter and the relay.RIS fields are computed using the analytical frameworks reported in the study.Source: NUMERICAL RESULTS · p. 6

A. RISs vs. Relays as a Function of the Transmission Distance

The distance study shows that a sufficiently large RIS can approach an ideal full-duplex relay without a power amplifier, while focusing operation can provide higher rates at additional channel-information cost. RIS behavior depends on distance and electrical size.

Distance dependence

  • At 28 GHz with a 2L = 1.5 m RIS, anomalous-reflector operation provides a rate similar to an ideal full-duplex relay without a power amplifier.The RIS length corresponds to 140λ; the result can require approximately 280–700 meta-atoms for spacings between λ/2 and λ/5.Source: A. RISs vs. Relays as a Function of… · p. 6
  • The RIS behaves as an anomalous mirror for distances d0 up to approximately 25–50 m and as a diffuse scatterer beyond that range.Source: A. RISs vs. Relays as a Function of… · p. 6

Anomalous mirrors vs. focusing lenses

  • A focusing-lens RIS generally outperforms an anomalous-reflector RIS and can achieve rates similar to the reflector’s long-distance approximation.The focusing lens requires estimating transmitter and receiver locations and adapting RIS phases to the wireless channels.Source: B. RISs: Anomalous Mirrors vs.… · p. 6

RIS-size dependence

Observed behavior

THE ROAD AHEAD

The paper identifies open issues spanning physics-based modeling, experimental validation, constrained system design, and information theory. These issues concern accurate models, empirical support, low-overhead control, and optimization of programmable channel states.

Physics-Based Modeling

  • Current RIS models are simplified, motivating accurate but analytically tractable physics-based models grounded in electromagnetism.Existing local-structure models ignore spatial coupling among meta-atoms.Source: THE ROAD AHEAD · p. 7

Experimental Validation

  • Equivalent RIS models require validation through hardware testbeds and empirical measurements, but only a few experiments have validated received-power scaling laws.The relevant variables include RIS size, transmission distance, and the wave transformation applied.Source: THE ROAD AHEAD · p. 7

Constrained System Design

  • Nearly passive RIS implementation imposes stringent constraints on signal-processing algorithms and communication protocols.Without power amplifiers and channel-estimation units, RISs cannot perform channel estimation, creating a need for low-overhead acquisition protocols.Source: THE ROAD AHEAD · p. 7

Information and Communication Theory

  • RIS-based smart radio environments challenge information-theoretic models that treat channel transition probabilities as fixed and non-optimizable.Including channel states among encoding and modulation degrees of freedom opens new system-optimization directions.Source: THE ROAD AHEAD · p. 7

Conclusions

  • The paper concludes that sufficiently large anomalous-reflector RISs can outperform relay-aided systems in data rate while reducing implementation complexity.Source: CONCLUSIONS · p. 7
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