AI 中文总结
针对瑞利衰落信道中维纳相位噪声问题，提出创新域决策导向相位跟踪架构，通过转换问题降低复杂度，推导相关表达式，分析决策误差影响，仿真显示其性能优于其他方法，以低复杂度和小导频开销实现近相干性能。
AI 中文摘要
本文提出一种创新域决策导向相位跟踪（ID-DDPT）架构，用于在具有时间相关相位演化和维纳相位噪声的瑞利衰落信道上进行相干检测。通过将相位跟踪重新构建到创新域，用其平稳增量代替无界累积相位，该方法将非平稳估计问题转化为稳定的低复杂度滤波问题。在锁定状态假设下，推导了稳态残余相位误差方差的闭式表达式以及解析最优平滑因子。将残余相位失真建模为有效信噪比衰减，得出瑞利衰落中BPSK的易处理误码率近似。一阶误差传播分析进一步刻画了决策误差的影响并深入了解周跳的发生。仿真结果表明，ID-DDPT优于DBPSK和复杂度相当的标量卡尔曼跟踪器（SKT），以每个符号\(\mathcal{O}(1)\)的复杂度和最小导频开销实现近相干性能。
英文摘要
This letter proposes an innovation-domain decision-directed phase tracking (ID-DDPT) architecture for coherent detection over Rayleigh fading channels with temporally correlated phase evolution and Wiener phase noise. By reformulating phase tracking into the innovation domain, replacing the unbounded cumulative phase with its stationary increments, the proposed method converts a non-stationary estimation problem into a stable low-complexity filtering problem. A closed-form expression for the steady-state residual phase error variance is derived under the locked-regime assumption, along with an analytical optimal smoothing factor. Modeling the residual phase distortion as an effective signal-to-noise ratio (SNR) attenuation yields a tractable bit error rate (BER) approximation for BPSK over Rayleigh fading. A first-order error-propagation analysis further characterizes the impact of decision errors and provides insight into the onset of cycle slips. Simulation results demonstrate that ID-DDPT outperforms DBPSK and a complexity-equivalent scalar Kalman tracker (SKT), achieving near-coherent performance with $\mathcal{O}(1)$ per-symbol complexity and minimal pilot overhead.
Journal refU. Klongklaew, N. Pornsuwancharoen and P. Youplao, "Innovation-Domain Decision-Directed Phase Tracking for Wiener Phase Noise in Fast Rayleigh Fading," in IEEE Wireless Communications Letters, vol. 15, pp. 3264-3268, 2026
