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Optimized Modulation Design for RIS-Assisted Symbiotic Radio Systems to Address Ambiguity Problem


Core Concepts
The proposed modulation scheme divides the RIS phase-shift matrix into symbol-invariant and symbol-varying components to address the ambiguity problem in RIS-assisted symbiotic radio systems, and the optimal design of these components is derived to improve the BER performance of both primary and secondary transmissions.
Abstract

The paper proposes a novel modulation scheme for RIS-assisted symbiotic radio (SR) systems to address the ambiguity problem. The key idea is to divide the RIS phase-shift matrix into two components: the symbol-invariant component used to assist the primary transmission, and the symbol-varying component used to carry the secondary signal.

To optimize these two components, the authors focus on the detection of the composite signal formed by the primary and secondary signals, and formulate a problem to minimize the bit error rate (BER) of the composite signal. By solving this problem, they derive the closed-form solution of the optimal symbol-invariant and symbol-varying components, which is related to the channel strength ratio of the direct link to the reflecting link.

The proposed modulation scheme can address the ambiguity problem by regarding the symbol-invariant component as a virtual direct link, and at the same time help enhance the primary transmission when the direct link is weak. Theoretical BER performance analysis is provided, and simulation results demonstrate the superiority of the proposed scheme over conventional modulation schemes.

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Stats
The channel response from the primary transmitter to the cooperative receiver is denoted by hd. The channel response from the primary transmitter to the RIS is denoted by f. The channel response from the RIS to the cooperative receiver is denoted by hr. The transmit power is denoted by p. The normalized constellation sets of the primary and secondary signals are denoted by As and Ac, respectively.
Quotes
"To address the ambiguity problem, in this paper, we propose a novel modulation scheme for RIS-assisted SR." "To optimize these two components, this paper aims to optimize these two components to improve both the BER performance of the primary and secondary transmissions." "It is shown that the optimal design of the symbol-invariant and symbol-varying components is related to the channel strength ratio of the direct link to the reflecting link, which determines the energy allocated to the symbol-invariant and symbol-varying components."

Deeper Inquiries

How can the proposed modulation scheme be extended to support higher-order modulation constellations for both primary and secondary signals

The proposed modulation scheme can be extended to support higher-order modulation constellations for both primary and secondary signals by adjusting the mapping rules and constraints accordingly. For higher-order modulation schemes, such as 16-QAM or 64-QAM, the constellation sets for both primary and secondary signals will have more points, leading to increased complexity in the optimization process. The phase-shift matrix design for the RIS will need to consider the increased number of constellation points and the corresponding modulation symbols. To extend the proposed scheme to higher-order modulation constellations, the optimization algorithm needs to be adapted to handle the larger constellation sets and the increased number of possible symbol combinations. The constraints on the phase-shift matrix components, such as the symbol-invariant and symbol-varying components, will need to be adjusted to accommodate the expanded constellation sets. Additionally, the receiver design and detection algorithm will need to be modified to decode the composite signal accurately for higher-order modulation schemes.

What are the potential challenges and limitations of the proposed scheme in practical implementation, such as the impact of channel estimation errors and hardware impairments

The proposed scheme may face several challenges and limitations in practical implementation, including the impact of channel estimation errors and hardware impairments. Channel Estimation Errors: In real-world scenarios, perfect channel state information (CSI) may not be available due to channel estimation errors. These errors can lead to inaccuracies in the optimization of the phase-shift matrix components, affecting the performance of the system. Robust optimization techniques and adaptive algorithms will be required to mitigate the impact of channel estimation errors on the proposed scheme. Hardware Impairments: Hardware imperfections, such as phase noise, non-linearities, and antenna misalignments, can degrade the performance of the RIS-assisted system. These impairments can introduce additional noise and distortion, affecting the accuracy of the received signals and the optimization of the phase shifts. Calibration techniques and hardware improvements will be necessary to address these limitations in practical implementations. Complexity and Overhead: The optimization process for the phase-shift matrix components may introduce computational complexity and overhead in the system. Real-time implementation of the optimization algorithm and coordination between the PTx, RIS, and C-Rx may require additional resources and signaling overhead, impacting the overall system efficiency.

Can the proposed design methodology be applied to other wireless communication scenarios beyond symbiotic radio, such as integrated access and backhaul networks or intelligent reflecting surface-aided communications

The proposed design methodology can be applied to other wireless communication scenarios beyond symbiotic radio, such as integrated access and backhaul networks or intelligent reflecting surface-aided communications. The key principles of optimizing the phase-shift matrix components to enhance the primary and secondary transmissions can be adapted to different communication setups where RIS technology is utilized for performance improvement. Integrated Access and Backhaul Networks: In scenarios where integrated access and backhaul networks are deployed, the proposed design methodology can be used to optimize the RIS-assisted communication links for efficient spectrum sharing and energy utilization. By adjusting the phase shifts based on the channel conditions, the system can achieve improved coverage, capacity, and reliability for both access and backhaul transmissions. Intelligent Reflecting Surface-Aided Communications: In intelligent reflecting surface-aided communications, the design methodology can be applied to optimize the reflection patterns and phase shifts of the RIS to enhance signal coverage and quality. By intelligently controlling the RIS elements, the system can mitigate path loss, interference, and shadowing effects, improving the overall communication performance. Overall, the proposed design methodology can be a versatile tool for optimizing RIS-assisted communication systems in various wireless communication scenarios, providing benefits such as increased spectral efficiency, energy efficiency, and coverage extension.
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