Space-time reconfigurable intelligent surfaces for downlink multiuser transmissions

Amplitude, phase, frequency, and polarization states of electromagnetic (EM) waves can be dynamically manipulated by means of artificially engineered planar materials, composed of sub-wavelength meta-atoms, which are typically referred to as metasurfaces. Until now, researchers in wireless communications have mainly focused their attention on space-domain designs of reconfigurable intelligent surfaces (RISs), where the main concern is to engineer the spatial-phase gradient across the RIS to decouple incidence and reflected/refracted directions. However, such designs do not exploit the temporal dimension. Indeed, additional degrees of freedom for controlling EM waves can be gained by applying a time modulation to the reflection response of the metasurface, thereby attaining the so-called space-time RISs. We develop a general framework where a downlink multiuser transmission over single-input single-output slow fading channels is assisted by a digitally controlled space-time RIS. The conclusions of our analysis in terms of system design guidelines are as follows: (i) if the network utility function is the sum-rate time-averaged network capacity, without any constraint on fair resource allocation, and full CSIT is available, then a temporal modulation of the electronic properties of the RIS is unnecessary; (ii) if partial CSIT is assumed only, a random modulation in both time and space of the reflection coefficients of the RIS meta-atoms allows to achieve a suitable balance between sum-rate time-averaged capacity and user fairness, especially for a sufficiently large number of users; (iii) regardless of the available amount of CSIT, the design of temporal variations across the RIS is instrumental for developing scheduling algorithms aimed at maximizing the network capacity subject to some fairness constraints.

Modeling the Mutual Coupling of Reconfigurable Metaurfaces

In [1], the authors have recently introduced a circuits-based approach for modeling the mutual coupling of reconfigurable surfaces, which comprise sub-wavelength spaced passive scattering elements coupled with electronic circuits for enabling the reconfiguration of the surface. The approach is based on a finite-length discrete dipole representation of a reconfigurable surface, and on the assumption that the current distribution on each thin wire dipole is a sinusoidal function. Under these assumptions, the voltages at the ports of a multi-antenna receiver can be formulated in terms of the voltage generators at a multi-antenna transmitter through a transfer function matrix that explicitly depends on the mutual coupling and the tuning circuits through the mutual impedances between every pair of thin wire dipoles. In [1], the mutual impedances are formulated in an integral form. In this paper, we show that the mutual impedances can be formulated in a closed-form expression in terms of exponential integral functions.

Digital Reconfigurable Intelligent Surfaces: On the Impact of Realistic Reradiation Models

Reconfigurable intelligent surface (RIS) is an emerging technology that is under investigation for different applications in wireless communications. RISs are often analyzed and optimized by considering simplified electromagnetic reradiation models. In this chapter, we aim to study the impact of realistic reradiation models for RISs as a function of the sub-wavelength inter-distance between nearby elements of the RIS, the quantization levels of the reflection coefficients, the interplay between the amplitude and phase of the reflection coefficients, and the presence of electromagnetic interference. We consider both case studies in which the users may be located in the far-field and near-field regions of an RIS. Our study shows that, due to design constraints, such as the need of using quantized reflection coefficients or the inherent interplay between the phase and the amplitude of the reflection coefficients, an RIS may reradiate power towards unwanted directions that depend on the intended and interfering electromagnetic waves. Therefore, it is in general important to optimize an RIS by considering the entire reradiation pattern by design to maximize the reradiated power towards the desired directions of reradiation while keeping the power reradiated towards other unwanted directions at a low level. Our study shows that a 2-bit digitally controllable RIS with an almost constant reflection amplitude as a function of the applied phase shift, and whose scattering elements have a size and an inter-distance between (1/8)th and (1/4)th of the signal wavelength may be a good tradeoff between performance, implementation complexity and cost. However, the presented results are preliminary and pave the way for further research into the performance of RISs based on accurate and realistic electromagnetic reradiation models.