DMA-aided MU-MISO Systems for Power Splitting SWIPT via Lorentzian-Constrained Holography

TL;DR

This work tackles joint transmit-power minimization for co-located SWIPT in a DMA-aided MU-MISO system under SINR and energy-harvesting constraints. It introduces a semidefinite-programming based alternating optimization framework that jointly designs DMA weights, digital precoders, and power-splitting ratios, while enforcing Lorentzian constraints via adaptive-radius Lorentzian-Constrained Holography (ARLCH) mappings and accounting for nonlinear EH models and circuit noise. Empirical results show that ARLCH-based mappings significantly reduce the required transmit power compared with traditional LCH schemes, achieving better SINR/EH satisfaction in near-field, mmWave scenarios. The approach demonstrates the practicality of DMA-enabled SWIPT with Lorentzian constraints for energy-efficient wireless networks and provides a foundation for future extensions to more general propagation environments.

Abstract

This paper presents an optimal power splitting and beamforming design for co-located simultaneous wireless information and power transfer (SWIPT) users in Dynamic Metasurface Antenna (DMA)-aided multiuser multiple-input single-output (MISO) systems. The objective is to minimize transmit power while meeting users signal-to-interference-plus-noise ratio (SINR) and energy harvesting (EH) requirements. The problem is solved via an alternating optimization framework based on semidefinite programming (SDP), where metasurface tunability follows Lorentzian-constrained holography (LCH). In contrast to traditional beamforming architectures, DMA-assisted architectures reduce the need for RF chains and phase shifters but require optimization under the Lorentzian constraint limiting the amplitude and phase optimizations. Hence, the proposed method integrates several LCH schemes, including the recently proposed adaptive-radius LCH (ARLCH), and evaluates nonlinear EH models and circuit noise effects. Simulation results show that the proposed design significantly reduces transmit power compared with baseline methods, highlighting the efficiency of ARLCH and optimal power splitting in DMA-assisted SWIPT systems.

Figures (4)

• Figure 1: Transmitted power versus EH power requirement $(E_k^{\mathrm{th}})$ for different energy harvesting models with $K = 2$ and $\delta_k=10dB$.
• Figure 2: Transmitted power vs. user separation distance for $K=2$, $\delta_k=10~\mathrm{dB}$, $E_k^{\mathrm{th}}=-10~\mathrm{dBmW}$, and $\sigma_{\mathrm{c}}=-50~\mathrm{dB}$.
• Figure 3: Transmitted power vs. user separation distance for $K=2$, $\delta_k=10~\mathrm{dB}$, $E_k^{\mathrm{th}}=-10~\mathrm{dBmW}$, and $\sigma_{\mathrm{c}}=-30~\mathrm{dBm}$.
• Figure 4: Mean transmitted power vs. SINR for Monte Carlo realizations under different LCH schemes with $E_k^{\mathrm{th}} = -10~\mathrm{dBmW}$ and $K = 4$.