Optimization of Probabilistic Constellation Shaping for Optical OFDM Systems with Clipping Distortion

📅 2025-07-10
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🤖 AI Summary
The integration of probabilistic constellation shaping (PCS) with direct-current-biased optical orthogonal frequency-division multiplexing (DCO-OFDM) exacerbates peak-to-average power ratio (PAPR) and associated clipping distortion, degrading spectral efficiency and channel capacity. Method: This paper proposes a PCS optimization framework that jointly accounts for clipping-induced nonlinear distortion to maximize channel capacity. By modeling the clipping nonlinearity, the capacity maximization problem is formulated as a nonconvex optimization, efficiently solved via projected gradient descent. Contribution/Results: The proposed method preserves the spectral efficiency gains of PCS while significantly suppressing PAPR and clipping distortion. Simulation results demonstrate that, under aggressive clipping conditions, the scheme achieves up to 1.8 bit/s/Hz higher capacity than conventional uniform modulation and enhances system robustness—offering a novel pathway toward high-power-efficiency optical wireless communication.

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📝 Abstract
Optical orthogonal frequency-division multiplexing (OFDM) and probabilistic constellation shaping (PCS) have emerged as powerful techniques to enhance the performance of optical wireless communications (OWC) systems. While PCS improves spectral efficiency and adaptability, we show that its integration with optical OFDM can inadvertently increase the peak-to-average power ratio (PAPR) of the signal, exacerbating clipping distortion due to signal clipping. This letter investigates the impact of PCS on the PAPR of direct current-biased optical OFDM (DCO-OFDM) waveforms and proposes an optimization of PCS that maximizes channel capacity, considering clipping distortion. The optimization problem is shown to be complex and non-convex. We thus present a suboptimal yet efficient solving approach based on projected gradient descent to solve the problem. Simulation results demonstrate the superiority of the proposed approach over the conventional uniform signaling, particularly under severe clipping distortion conditions.
Problem

Research questions and friction points this paper is trying to address.

Optimize PCS to reduce PAPR in optical OFDM systems
Maximize channel capacity considering clipping distortion effects
Develop efficient algorithm for non-convex PCS optimization problem
Innovation

Methods, ideas, or system contributions that make the work stand out.

Optimizes PCS for optical OFDM systems
Uses projected gradient descent method
Reduces clipping distortion effectively
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Thanh V. Pham
Thanh V. Pham
Assistant Professor, Shizuoka University
Optical Wireless CommunicationsWireless CommunicationsCommunication Theory
S
Susumu Ishihara
Department of Mathematical and Systems Engineering, Shizuoka University, Shizuoka, Japan