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本帖最后由 hillside 于 2013-8-3 09:25 编辑
SOWAS是小波分析与合成的简称(Software for Wavelet Analysis and Synthesis),软件原始下载链接已转向东英吉利大学,但似乎难以找到源程序位置,本帖提供的源程序下载自其他地方。 该软件中包括多个气候实例数据。 按网页介绍,需要与以下网址软件http://atoc.colorado.edu/research/wavelets/software.html一并使用:
Package: sowas Version: 0.92 Date: 2007-05-17 Title: Software for Wavelet Analysis and Synthesis Translation to Matlab: Jonas Laehnemann Description: The package calculates wavelet sample spectra and wavelet sample coherency aswell as corresponding pointwise and areawise significancetests. It also generatesrealizations of any wavelet sample spectrum. License: GPL version 2 or newer This package is also available as R routine. The Package contains the following Matlab scripts (further documentation in the headers of the files): * wsp.m - This funtion estimates (and possibly plots) the waveletspectrum of a time series object withthe Morlet wavelet. * wco.m - This funtion estimates the wavelet coherency of two timeseries objects with the Morletwavelet. * wcs.m - This funtion estimates the wavelet cross spectrum of two time series objects with the Morletwavelet. * plotwt.m - This function plots wavelet transform objects from thefunctions wsp,wcs,wco. Modulus and (ifpossible) phase are plotted. The following functions perform the significance tests. They are calledby wsp.m and wco.m and therefore should only be used as standalone if youknow what you're doing. * arealtest.m - Perform Areawise Significance Test. * criticalvaluesWCO.m - This function estimates critical values for the wavelet coherency between twoprocesses using the Morlet wavelet based on a formula derived from Monte Carlo simulations. * criticalvaluesWSP.m - This function estimates critical values for the Wavelet spectra by means of Monte Carlo simulations. Null Hypothesis is an AR1 (red noise) processfitted to the given time series. Other small functions the above depend on: addvalues.m, adjustnoctave.m,adjusts0.m, adjusttimeseries.m, checkarealsiglevel.m,scalematrix.m, smoothmatrix.m, smoothtime.m
附:下载信息
http://tocsy.pik-potsdam.de/wavelets.R/software.html
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Software | | references | download (R version) | installation (R version) | download (Matlab version) | installation (Matlab version)
| References | When using this package, please cite the following references:
D. Maraun, J. Kurths and M. Holschneider: Nonstationary Gaussian Processes in Wavelet Domain: Synthesis, Estimation and Significance Testing. Phys. Rev. E 75, 016707, 2007
D. Maraun and J. Kurths: Cross Wavelet Analysis. Significance Testing and Pitfalls, Nonlin. Proc. Geoph. 11(4), 505-514, 2004, pdf, 282kB
| | Download (R version) | Attention! Don't use the R version 2.2.0, as there seems to be a bug in the R / C interface such that the results from the C-subroutines get wrong.
-Package sowas_0.94.tar.gz, 4.9kB
The file contains R-functions and manual pages. You further need to install the Rwave-package from Rene Carmona et al which you will find at www.r-project.org.
Here you may find a version history of all relevant changes since May 5th 2005.
may be downloaded from www.r-project.org. There you can find free software for linux, unix, windows and Mac as well as manuals, installation guides and many other packages.
| | Installation (R version) | Linux users may just download the sowas and Rwave packages and copy them to the sub-directory "library" of your R directory. Go to this directory and simply execute
R CMD INSTALL Rwave_VERSION.tar.gz
R CMD INSTALL sowas_VERSION.tar.gz
Using windows, for sure, everything is less comfortable and less easy. You may find some helpful pages here: http://cran.r-project.org/bin/windows/base/rw-FAQ.html.
For the installation of R, please refer to www.r-project.org.
| | Download (Matlab version) | Matlab-Package sowas.0.93.matlab.zip, 4.9kB
The file contains Matlab-functions. You further need to install the wavelet.m and wave_bases.m functions from Torrence and Compo which you will find here.
Here you may find a version history of all relevant changes since May 5th 2005.
| | Installation (Matlab version) | Just copy the functions and directories contained in the zip file together with the functions from Torrence and Compo to the same directory. Simply start Matlab in this directory. The example data are in the subdirectory. |
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附:英文文献简介(中文翻译来自网络)
小波变换中的非平稳高斯过程
我们提出了一个等价类中定义的小波域非平稳高斯随机过程。这些过程的特点由小波乘法器的装置和具有良好定义的时间依赖性的光谱特性。他们让一个产生任何小波频谱的实现。基于这一框架,我们研究了连续小波谱,即估计,我们计算出的任意连续小波估计谱的方差和偏差。最后,我们发展的areawise的显着性检验为连续小波变换光谱克服困难的多个测试,它使用连续小波变换的基本性质。决定是否逐点显着的结果是一个真正的功能的过程中或从典型的随机波动没有什么区别。此测试相比,传统的一个方面的敏感性和特异性。一个软件包为连续小波变换的频谱分析和综合的方法。
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