基于伯努利-高斯先验的RIS辅助感知系统波达方向估计方法

      Direction of Arrival Estimation Method for RIS-Assisted Sensing Systems Based on Bernoulli-Gaussian Prior

      • 摘要: 传统可重构智能表面(Reconfigurable Intelligent Surface, RIS)辅助的波达角(Direction of Arrival, DOA)估计方法存在计算复杂度高的问题,且在欠采样与低信噪比条件下性能受限。为此,本文提出一种基于伯努利-高斯(Bernoulli-Gaussian, BG)先验的RIS辅助DOA估计方法。为充分利用来波在空间域的结构化特性,该方法引入BG先验模型进行建模,并在变分期望最大化(Expectation Maximization, EM)框架下开展贝叶斯推理,同时嵌入阻尼广义近似消息传递(Generalized Approximate Message Passing, GAMP)算法以降低计算复杂度。仿真结果表明,相较于传统方法,本文方法在来波满足空域稀疏及块稀疏等条件下,不仅方向估计精度更高,还能够在测量次数更少、信噪比更低的条件下实现稳定估计,充分验证了所提方法的可行性、高效性与鲁棒性。

         

        Abstract: Traditional reconfigurable intelligent surface (RIS)-assisted direction of arrival (DOA) estimation methods suffer from high computational complexity and exhibit limited performance under conditions of undersampling and low signal-to-noise ratio (SNR). To address this issue, this paper proposes a RIS-assisted DOA estimation method based on the Bernoulli-Gaussian (BG) prior. To fully exploit the structured characteristics of incoming waves in the spatial domain, the proposed method introduces the BG prior model for modeling and performs Bayesian inference within the variational expectation maximization (EM) framework. Meanwhile, the damped generalized approximate message passing (GAMP) algorithm is embedded to reduce computational complexity. Simulation results demonstrate that, compared with traditional methods, the proposed method achieves higher direction estimation accuracy under conditions such as spatial sparsity and block sparsity of incoming waves, and enables stable estimation with fewer measurements and lower SNRs, which fully verifies the feasibility, efficiency, and robustness of the proposed method.

         

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