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Chaotic Noncoherent SWIPT in Multi-Functional RIS-Aided Systems

Priyadarshi Mukherjee, Constantinos Psomas, Himal A. Suraweera, Ioannis Krikidis

TL;DR

This work tackles self-sustainability in MF-RIS-aided SWIPT by introducing a chaotic, noncoherent DCSK framework partitioned into EH, IT, and IR regions. It develops a frequency-selective channel model and SR-DCSK signaling, derives BER expressions, and formulates a nonlinear energy-harvesting model that yields a lower bound $N_h^{\min}$ for EH feasibility. A generalized ${\rm SR}-P_{\rm EH}$ region is proposed to elucidate the BER-energy trade-off as waveform and RIS configuration vary, guiding transmit waveform design to achieve self-sustainability. The results illuminate how system parameters, channel conditions, and chaotic waveform design jointly govern information reliability and harvested energy, with practical implications for self-powered RIS deployments in next-generation networks. The framework encompasses prior self-sustainable RIS work as a special case when $\Upsilon_t=0$, $\Upsilon_r=1$, demonstrating its extensibility to various RIS paradigms.

Abstract

In this letter, we investigate the design of chaotic signal-based transmit waveforms in a multi-functional reconfigurable intelligent surface (MF-RIS)-aided set-up for simultaneous wireless information and power transfer. We propose a differential chaos shift keying-based MF-RIS-aided set-up, where the MF-RIS is partitioned into three non-overlapping surfaces. The elements of the first sub-surface perform energy harvesting (EH), which in turn, provide the required power to the other two sub-surfaces responsible for transmission and reflection of the incident signal. By considering a frequency selective scenario and a realistic EH model, we characterize the chaotic MF-RIS-aided system in terms of its EH performance and the associated bit error rate. Thereafter, we characterize the harvested energy-bit error rate trade-off and derive a lower bound on the number of elements required to operate in the EH mode. Accordingly, we propose novel transmit waveform designs to demonstrate the importance of the choice of appropriate system parameters in the context of achieving self-sustainability.

Chaotic Noncoherent SWIPT in Multi-Functional RIS-Aided Systems

TL;DR

This work tackles self-sustainability in MF-RIS-aided SWIPT by introducing a chaotic, noncoherent DCSK framework partitioned into EH, IT, and IR regions. It develops a frequency-selective channel model and SR-DCSK signaling, derives BER expressions, and formulates a nonlinear energy-harvesting model that yields a lower bound for EH feasibility. A generalized region is proposed to elucidate the BER-energy trade-off as waveform and RIS configuration vary, guiding transmit waveform design to achieve self-sustainability. The results illuminate how system parameters, channel conditions, and chaotic waveform design jointly govern information reliability and harvested energy, with practical implications for self-powered RIS deployments in next-generation networks. The framework encompasses prior self-sustainable RIS work as a special case when , , demonstrating its extensibility to various RIS paradigms.

Abstract

In this letter, we investigate the design of chaotic signal-based transmit waveforms in a multi-functional reconfigurable intelligent surface (MF-RIS)-aided set-up for simultaneous wireless information and power transfer. We propose a differential chaos shift keying-based MF-RIS-aided set-up, where the MF-RIS is partitioned into three non-overlapping surfaces. The elements of the first sub-surface perform energy harvesting (EH), which in turn, provide the required power to the other two sub-surfaces responsible for transmission and reflection of the incident signal. By considering a frequency selective scenario and a realistic EH model, we characterize the chaotic MF-RIS-aided system in terms of its EH performance and the associated bit error rate. Thereafter, we characterize the harvested energy-bit error rate trade-off and derive a lower bound on the number of elements required to operate in the EH mode. Accordingly, we propose novel transmit waveform designs to demonstrate the importance of the choice of appropriate system parameters in the context of achieving self-sustainability.

Paper Structure

This paper contains 10 sections, 1 theorem, 21 equations, 1 figure.

Table of Contents

  1. Introduction
  2. System Model
  3. SR-DCSK Signals
  4. MF-RIS Characterization
  5. Channel Model
  6. MF-RIS-aided Chaotic System Design
  7. Proposed System Design
  8. Information and Power Transfer
  9. Waveform Design Investigating Transmit-Reflect-Harvest Trade-off
  10. Numerical Results and Conclusion

Key Result

Proposition 1

The system BER of the MF-RIS is given by where $X \in \{ t,r \},\gamma_{X,0}= \frac{E_{\rm b}C_0^2 d_{sr}^{-\alpha_{sr}}d_{rd_X}^{-\alpha_{rd_X}}\Upsilon_X}{N_{t,0}}$, $\Lambda_{X,1} =\sum_{l=1}^{L_{sr}}\!\sum_{k=1}^{L_{rd_X}}\!\! |\!\sum_{n=1}^{N_X}\!e^{j\theta_{X,e,n}}\alpha_{l,N_h+n}\beta_{X,n,k}|^2$, and $\Lambda_{X,2} =\sum_{k=1}^{L_

Figures (1)

  • Figure 1: (a) Impact of $\phi$ on ${\rm SR}$, (b) Impact of noise power at MF-RIS on ${\rm SR}$, and (c) Impact of system parameters on the ${\rm SR}-P_{\rm EH}$ region.

Theorems & Definitions (2)

  • Proposition 1
  • proof