论文标题
来自嘈杂多通道样品的信号重建
Signal reconstruction from noisy multichannel samples
论文作者
论文摘要
我们考虑在多通道方式和存在噪声的情况下采样的信号下的信号重建问题。观察到，如果样品不确定，多通道插值的严格执法是不合适的。因此，合理的平滑和正规校正是必不可少的。在本文中，我们提出了几种在不同的平滑和正则化原理下从嘈杂的多通道样品中进行信号重建的替代方法。在各种情况下，我们从理论和实验上比较了这些信号重建方法。为了证明所提出的方法的有效性，提供了这些方法的概率解释和误差分析。此外，还提供了数值模拟以及一些使用这些方法的准则。
We consider the signal reconstruction problem under the case of the signals sampled in the multichannel way and with the presence of noise. Observing that if the samples are inexact, the rigorous enforcement of multichannel interpolation is inappropriate. Thus the reasonable smoothing and regularized corrections are indispensable. In this paper, we propose several alternative methods for the signal reconstruction from the noisy multichannel samples under different smoothing and regularization principles. We compare these signal reconstruction methods theoretically and experimentally in the various situations. To demonstrate the effectiveness of the proposed methods, the probability interpretation and the error analysis for these methods are provided. Additionally, the numerical simulations as well as some guidelines to use the methods are also presented.
