@inproceedings{524aa220f85f42cd9272add09c380636,
title = "Stationary Processes on Directed Graphs",
abstract = "In this paper, we extend the concepts of kernels, weak stationarity and white noise to the case of directed graphs (digraphs). We shall determine the attributes of two types of kernels (I and II) based on the Jordan decomposition of the shift operator. Using kernels of type I and II, we define the stationarity concept and filtering properties on digraphs. We further generalize the concept of Wiener filter and the related optimization framework to digraphs. To validate the concepts, we apply our theories numerically to denoise and recover temperature values in some cities in France based on real recordings that are manually noise contaminated.",
keywords = "Directed graph, Wiener filter, graph Fourier transform, graph signal",
author = "Iraji, {Mohammad Bagher} and Mohammad Eini and Arash Amini and Stefano Rini",
note = "Publisher Copyright: {\textcopyright} 2024 IEEE.; 12th Iran Workshop on Communication and Information Theory, IWCIT 2024 ; Conference date: 01-05-2024 Through 02-05-2024",
year = "2024",
doi = "10.1109/IWCIT62550.2024.10553092",
language = "English",
series = "2024 12th Iran Workshop on Communication and Information Theory, IWCIT 2024",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2024 12th Iran Workshop on Communication and Information Theory, IWCIT 2024",
address = "United States",
}