Extraction of spectral information from a short-time signal using filter-diagonalization: Recent developments and applications to semiclassical reaction dynamics and nuclear magnetic resonance signals
Extraction of spectral information from a short-time signal using filter-diagonalization: Recent developments and applications to semiclassical reaction dynamics and nuclear magnetic resonance signals
复制标题
使用滤波器对角化从短时信号中提取光谱信息：半经典反应动力学和核磁共振信号的最新发展和应用
DOI：
10.1063/1.476263
复制
发表时间：
1998
影响因子：
4.4
通讯作者：
D. Neuhauser
中科院分区：
文献类型：
--
作者：
J. W. Pang;T. Dieckmann;J. Feigon;D. Neuhauser
滤子对角化[M. R. Wall和D.诺伊豪泽，J.Chem.Phys.102，8011（1995）]是一种新的方法，用于从任何时间相关信号的短时间段提取频率和阻尼常数，无论是否是量子起源。该方法是有效的并且能够处理信号，例如，数百万（可能重叠）的频率，因为它集中在特定的频谱范围。该方法被证明是一个强大的工具，用于提取本征态和正常模式，并减少传播时间，在最近的几项工作，我们，由Mandelshtam和泰勒（谁最近介绍了盒过滤器）和其他团体。在这里，我们在几个方向上扩展该方法：首先，我们展示了如何使用任何形式的过滤器。接下来，我们展示了如何将该方法扩展到处理出现的类型的多维信号，例如，二维核磁共振（NMR）。最后，我们对两类信号的各种滤波器的性能进行了分析，其中时间缩减的信号。
Filter-diagonalization [M. R. Wall and D. Neuhauser, J. Chem. Phys. 102, 8011 (1995)] is a new method for extracting frequencies and damping constants from a short-time segment of any time-dependent signal, whether of quantum origin or not. The method is efficient and able to handle signals with, e.g., millions of (possibly overlapping) frequencies, since it concentrates on specific spectral ranges. The method was shown to be a powerful tool for extracting eigenstates and normal-modes, and for reducing propagation times, in several recent works by us, by Mandelshtam and Taylor (who recently introduced the box filter) and by other groups. Here we extend the method in several directions: first, we show how it can be used with a filter of any form. Next, we show how the methodology may be extended to treat multi-dimensional signals, of the type that appears, e.g., in 2-D nuclear magnetic resonance (NMR). Finally, we exemplify the performance of the various filters for two types of signals where the time-redu...