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IDL Wavelet Toolkit User's Guide

IDL Wavelet Toolkit User's Guide

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Chapter 1: Introduction to the <strong>IDL</strong> <strong>Wavelet</strong> <strong>Toolkit</strong> 7Features• Time-series analysis— time-scale power spectrum, noise filtering,multiresolution analysis;• Self-similar series— fractals, long-memory processes;• Turbulence— detection of coherent structures;• Signal processing— filtering and denoising;• Image processing— edge detection, compression, enhancement.The <strong>IDL</strong> <strong>Wavelet</strong> <strong>Toolkit</strong> has the following features:<strong>Wavelet</strong> AppletThe <strong>Toolkit</strong> Applet lets you manage your projects, import data and wavelets,visualize the results, and add your own user tools.Continuous <strong>Wavelet</strong> TransformAllows you to compute the continuous wavelet transform on one-dimensionalvectors. This routine is written in <strong>IDL</strong> .pro code.Discrete <strong>Wavelet</strong> TransformAllows you to compute the discrete wavelet transform (partial or full) on multidimensionaldata. These routines are written in C and contained in the <strong>IDL</strong> waveletdlm.<strong>Wavelet</strong> FunctionsThe <strong>Toolkit</strong> comes with several wavelet functions that are accessible both inside theApplet and from your own programs. You can easily add your own wavelet functionsto the <strong>Toolkit</strong>.3D <strong>Wavelet</strong> Power SpectrumCallable from within the Applet and from your own programs, the visualizer plots thewavelet power as a three-dimensional surface, with optional contour lines. You canrotate, translate, and find the power at a particular location.Multiresolution AnalysisStand alone or callable from the Applet, this routine produces plots for the smooth(low pass), detail (band-pass), and rough (high-pass) components of your data.<strong>IDL</strong> <strong>Wavelet</strong> <strong>Toolkit</strong>What Is the <strong>IDL</strong> <strong>Wavelet</strong> <strong>Toolkit</strong>?

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