Dynamical sampling of two-dimensional temporally-varying signals

R. Aceska, Armenak Petrosyan, Sui Tang
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引用次数: 2

Abstract

The problem of recovering an evolving signal from a set of samples taken at different time instances, has been well-studied for one-variable signals on both discrete and continuous domains [4]-[8]. Most sampling problems in applications involve spatial coordinates, that is, the observed time-variant signals are described by at least two spatial variables. We state the problem of spatio-temporal sampling for two-variable data and provide specific reconstruction results in the ℓ2(Z × Z) case.
二维时变信号的动态采样
从不同时间采样的一组样本中恢复进化信号的问题,已经在离散和连续域上对单变量信号进行了很好的研究[4]-[8]。应用中的大多数采样问题涉及空间坐标,即观测到的时变信号由至少两个空间变量描述。提出了双变量数据的时空采样问题,并给出了在2(Z × Z)情况下的具体重构结果。
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