论文标题
通过联合时代图傅立叶变换对相关带限制的连续信号的采样
Sampling of Correlated Bandlimited Continuous Signals by Joint Time-vertex Graph Fourier Transform
论文作者
论文摘要
在采样多个信号时，可以利用信号之间的相关性以减少样品的总数。在本文中，我们研究了多个相关信号的采样理论，使用相关性以最低的采样率进行采样。基于信号源之间的相关性，我们将多个连续时间信号建模为连续的时间vertex图形信号。图形信号被投影到正交碱基上，以删除空间相关性并通过图形傅立叶变换降低尺寸。当给出原始信号的带宽和缩小尺寸信号时，我们证明了恢复原始信号所需的最小采样率，并提出了可行的采样方案。
When sampling multiple signals, the correlation between the signals can be exploited to reduce the overall number of samples. In this paper, we study the sampling theory of multiple correlated signals, using correlation to sample them at the lowest sampling rate. Based on the correlation between signal sources, we model multiple continuous-time signals as continuous time-vertex graph signals. The graph signals are projected onto orthogonal bases to remove spatial correlation and reduce dimensions by graph Fourier transform. When the bandwidths of the original signals and the reduced dimension signals are given, we prove the minimum sampling rate required for recovery of the original signals, and propose a feasible sampling scheme.
