Program MR1D_v2: 1D Multiresolution Signal Analysis

Preliminaries

• This file is "Examples..." under the "Help" pull-down menu.
• Without a valid licence file, use is very restricted. The licence file is a one-line text file called: cea_lic. It can be set up using the "Install licence" option under the "File" pull-down menu. Or it can be copied as a file to the bin subdirectory.
• The self-extracting binaries for MR1, MR2, and MR3, produce the main program, and bin and images (data, in the case of MR1) subdirectories. The bin subdirectory contains all of the multiresolution analysis programs.
• If you would like to use the MR1, MR2, or MR3 packages, we would recommend that you put the cea_lic file in your c: or some other convenient directory; and then copy it into the bin directory corresponding to any one of the MR1, MR2, and MR3 packages.
• "Open..." under the "File" pull-down menu supports various 1D signal formats: ASCII .dat, .csv (as used by Excel) and FITS. FITS is recommended for most processing because it supports 32-bit floating pixel values.
• Possible warning: extremely long path names will cause a problem since a fixed total length is assumed for the path and file name.
• The initial screen is as follows.

  

• Sample data sets available in the data subdirectory are:

  

• Opening the sunspots data:

  

  Wavelet and Multiresolution Transforms

• Multiresolution options, given by "Wavelet Transform" under the "Multiresolution" pull-down menu:

  

  Now the user is prompted for a file name. This file can be read into Excel or some other package, if desired.

• Many wavelet and other multiresolution transforms are available, in all 19 options. Some of these are shown in the following.

  

• Use of the biorthogonal wavelet transform is shown in the following.

  

  The file created contains the transform coefficients.

  Multiresolution Filtering

• Options for "Multiresolution Filtering" under the "Filtering" pull-down menu:

  

• The output produced is as follows.

  

  Trend

• Options for "Trend" under "Prediction":

  

• The output produced is as follows.

  

  Forecasting

• Applying the forecasing program, under "Prediction", to the sunspots data, with 10 steps ahead:

  

• This gives in a pop-up window the following result.