论文标题
信号处理与图形运算符的分布
Signal processing with a distribution of graph operators
论文作者
论文摘要
在本文中,我们在不明确了解网络拓扑的情况下开发了网络的信号处理框架。相反,我们利用有关网络运营商分布的知识。当无法获得图形拓扑知识时,这使得框架变得灵活而有用。此外,通常使用Delta分布,通常的图形信号处理是我们框架的一种特殊情况。该理论的主要要素包括傅立叶变换,滤波和采样理论。
In this paper, we develop a signal processing framework of a network without explicit knowledge of the network topology. Instead, we make use of knowledge on the distribution of operators on the network. This makes the framework flexible and useful when accurate knowledge of graph topology is unavailable. Moreover, the usual graph signal processing is a special case of our framework by using the delta distribution. The main elements of the theory include Fourier transform, theory of filtering and sampling.