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Energy Efficiency and Spectral Efficiency Tradeoff in RIS-Aided Multiuser MIMO Uplink Transmission (2011.09724v1)

Published 19 Nov 2020 in cs.IT and math.IT

Abstract: The emergence of reconfigurable intelligent surfaces (RISs) enables us to establish programmable radio wave propagation that caters for wireless communications, via employing low-cost passive reflecting units. This work studies the non-trivial tradeoff between energy efficiency (EE) and spectral efficiency (SE) in multiuser multiple-input multiple-output (MIMO) uplink communications aided by a RIS equipped with discrete phase shifters. For reducing the required signaling overhead and energy consumption, our transmission strategy design is based on the partial channel state information (CSI), including the statistical CSI between the RIS and user terminals (UTs) and the instantaneous CSI between the RIS and the base station. To investigate the EE-SE tradeoff, we develop a framework for the joint optimization of UTs' transmit precoding and RIS reflective beamforming to maximize a performance metric called resource efficiency (RE). For the design of UT's precoding, it is simplified into the design of UTs' transmit powers with the aid of the closed-form solutions of UTs' optimal transmit directions. To avoid the high complexity in computing the nested integrals involved in the expectations, we derive an asymptotic deterministic objective expression. For the design of the RIS phases, an iterative mean-square error minimization approach is proposed via capitalizing on the homotopy, accelerated projected gradient, and majorization-minimization methods. Numerical results illustrate the effectiveness and rapid convergence rate of our proposed optimization framework.

Citations (177)

Summary

  • The paper introduces an optimization framework that balances energy and spectral efficiency using RIS with discrete phase shifts.
  • It employs alternating optimization to decouple UT transmit precoding and RIS beamforming, leveraging partial CSI and closed-form solutions.
  • Simulations demonstrate significant efficiency gains and validate practical RIS implementation with rapid convergence and reduced signaling overhead.

Energy Efficiency and Spectral Efficiency Tradeoff in RIS-Aided Multiuser MIMO Uplink Transmission

The paper "Energy Efficiency and Spectral Efficiency Tradeoff in RIS-Aided Multiuser MIMO Uplink Transmission" provides a comprehensive analysis of the intricate balance between energy efficiency (EE) and spectral efficiency (SE) in multiuser MIMO uplink communications facilitated by reconfigurable intelligent surfaces (RIS). RIS technology represents a promising avenue for enhancing wireless communication systems by enabling programmable control over the radio wave propagation environment, achieved through passive reflecting elements.

Core Contributions and Methodology

The authors introduce a novel framework aimed at optimizing the tradeoff between EE and SE in RIS-aided systems. They propose leveraging RIS with discrete phase shifters to reduce signaling overhead and energy consumption, a significant departure from models assuming continuous phase shifts, which are less practical due to hardware limitations. The optimization framework is built upon partial channel state information (CSI), comprising statistical CSI between RIS and user terminals (UTs) and instantaneous CSI between RIS and the base station (BS).

Employing alternating optimization (AO) methodologies, the authors decouple the variables associated with transmit precoding at UTs and RIS reflective beamforming. The focus is placed on maximizing resource efficiency (RE), a metric designed to effectively balance EE and SE by normalizing them to a consistent unit, thus facilitating joint optimization.

For UTs' transmit precoding, the problem is reduced to power allocation, with closed-form solutions approximating optimal transmit directions. The complexity inherent to computing nested integrals seen in stochastic programming is circumvented by deriving an asymptotic deterministic objective expression using random matrix theory.

The optimization of RIS phases is tackled through an iterative approach including mean-square error minimization, capitalizing on homotopy optimization, accelerated projected gradient, and majorization-minimization methods. The framework accommodates both continuous and discrete phase shift settings, with simulations illustrating the iterative method's rapid convergence and effectiveness.

Numerical Results and Implications

Simulations suggest substantial gains in SE and EE with proposed optimizations, highlighting that discrete phase shifts maintain efficiency comparable to continuous phase shifts under typical conditions—important for practical implementations where hardware precision is finite. The simulation validates the theoretical claims, particularly noting that the framework achieves desired EE-SE tradeoffs as adjusted by the weight parameter in the RE metric.

For high-power regimes, insights are provided that maximum EE may saturate, reflecting a strategic balance in power use vis-Ă -vis SE. Further, the authors demonstrate that an adaptive RIS with discrete phase capabilities can offer substantial EE savings, presenting RIS as an efficient addition to wireless network architectures.

Future Directions

This paper's findings may encourage the exploration of further practical applications of RIS in dynamically adaptable communication environments, possibly extending the use of RIS technology to mobile and fast-varying scenarios where statistical CSI utilization can offer solutions unattainable by direct instantaneous CSI approaches. Additionally, robust frameworks incorporating RIS can benefit next-generation network designs aiming for energy-efficient, yet high-throughput systems. Future investigations might focus on integrating reinforcement learning or AI-driven techniques to enhance real-time adaptivity and efficiency in RIS configurations.

In conclusion, the paper contributes significantly to the existing body of knowledge, offering a solid foundation for RIS-based optimization techniques adaptable to various technological constraints and possible integration into future wireless network protocols.