Graph signal processing has opened new avenues to the canonical denoising problem in interesting settings. Specifically, here we propose a Wiener-filter solution for graph signals on directed graphs. Under various stationarity assumptions combining uncorrelated and correlated noise conditions, we show optimal solutions, including a successful proof-of-concept for temperature graph.

翻译：图信号处理为经典去噪问题在有趣场景中开辟了新途径。具体而言，本文针对有向图上的图信号提出了一种维纳滤波器解。在结合非相关与相关噪声条件的多种平稳性假设下，我们展示了最优解，并成功在温度图数据集上验证了概念可行性。