论文标题
带有限制的连续时图信号的采样理论
Sampling Theory of Bandlimited Continuous-Time Graph Signals
论文作者
论文摘要
连续的图形信号可以视为图形信号的时间序列。它概括了经典的连续时间信号和普通的图形信号。因此，可以将这种信号视为两个域上的函数：图形域和时域。在本文中，我们考虑了带有连续时图信号的抽样理论。为了提出抽样问题，我们需要考虑图和时域之间的相互作用。我们描述了一个明确的过程，以确定一个离散采样集以进行完美的信号恢复。此外，类似于Nyquist-Shannon采样定理，我们给出了最低采样率的明确公式。
A continuous-time graph signal can be viewed as a time series of graph signals. It generalizes both the classical continuous-time signal and ordinary graph signal. Therefore, such a signal can be considered as a function on two domains: the graph domain and the time domain. In this paper, we consider the sampling theory of bandlimited continuous-time graph signals. To formulate the sampling problem, we need to consider the interaction between the graph and time domains. We describe an explicit procedure to determine a discrete sampling set for perfect signal recovery. Moreover, in analogous to the Nyquist-Shannon sampling theorem, we give an explicit formula for the minimal sample rate.
