Control Signaling for Reconfigurable Intelligent Surfaces: How Many Bits are Needed?

Reconfigurable intelligent surfaces (RISs) can greatly improve the signal quality of future communication systems by reflecting transmitted signals toward the receiver. However, even when the base station (BS) has perfect channel knowledge and can compute the optimal RIS phase-shift configuration, implementing this configuration requires feedback signaling over a control channel from the BS to the RIS. This feedback must be kept minimal, as it is transmitted wirelessly every time the channel changes. In this paper, we examine how the feedback load, measured in bits, affects the performance of an RIS-aided system. Specifically, we investigate the trade-offs between codebook-based and element-wise feedback schemes, and how these influence the signal-to-noise ratio (SNR). We propose a novel quantization codebook tailored for line-of-sight (LoS) that guarantees a minimal SNR loss using a number of feedback bits that scale logarithmically with the number of RIS elements. We demonstrate the codebook's usefulness over Rician fading channels and how to extend it to handle a non-zero static path. Numerical simulations and analytical analysis are performed to quantify the performance degradation that results from a reduced feedback load, shedding light on how efficiently RIS configurations can be fed back in practical systems.

Optimizing Reconfigurable Intelligent Surfaces for Small Data Packets: A Subarray Approach

In this paper, we examine the energy consumption of a user equipment (UE) when it transmits a finite-sized data packet. The receiving base station (BS) controls a reconfigurable intelligent surface (RIS) that can be utilized to improve the channel conditions, if additional pilot signals are transmitted to configure the RIS. We derive a formula for the energy consumption taking both the pilot and data transmission powers into account. By dividing the RIS into subarrays consisting of multiple RIS elements using the same reflection coefficient, the pilot overhead can be tuned to minimize the energy consumption while maintaining parts of the aperture gain. Our analytical results show that there exists an energy-minimizing subarray size. For small data blocks and when the channel conditions between the BS and UE are favorable compared to the path to the RIS, the energy consumption is minimized using large subarrays. When the channel conditions to the RIS are better and the data blocks are large, it is preferable to use fewer elements per subarray and potentially configure the elements individually.

Optimizing Reconfigurable Intelligent Surfaces for Short Transmissions: How Detailed Configurations can be Afforded?

In this paper, we examine how to minimize the total energy consumption of a user equipment (UE) when it transmits a finite-sized data payload of a given length. The receiving base station (BS) controls a reconfigurable intelligent surface (RIS) that can be utilized to improve the channel conditions, but only if additional pilot signals are transmitted to configure the RIS. The challenge is that the pilot resources spent on configuring the RIS increase the energy consumption, especially when small payloads are transmitted, so it must be balanced against the energy savings during data transmission. We derive a formula for the energy consumption, taking both the pilot and data transmission power into account. It also includes the effects of imperfect channel state information, the use of phase-shifts with finite resolution at the RIS, and the passive circuit energy consumption. We also consider how dividing the RIS into subarrays consisting of multiple RIS elements using the same reflection coefficient can shorten the pilot length. In particular, the pilot power and subarray size are tuned to the payload length to minimize the energy consumption while maintaining parts of the aperture gain. Our analytical results show that, for a given geometry and transmission payload length, there exists a unique energy-minimizing subarray size and pilot power. For small payloads and when the channel conditions between the BS and UE are favorable compared to the path to the RIS, the energy consumption is minimized using subarrays with many elements and low pilot transmission power. On the other hand, when the channel conditions to the RIS are better and the data payloads are large, it is preferable to use fewer elements per subarray, potentially configuring each element individually and transmitting the pilot signals with additional power.