User manual THE MATHWORKS WAVELET TOOLBOX RELEASE NOTES

[. . . ] Please see www. mathworks. com/patents for more information. Contents Summary by Version . 3 Version 4. 5 (R2010a) Wavelet ToolboxTM Software . . 4 4 4 5 1 Version 4. 4. 1 (R2009b) Wavelet ToolboxTM Software . 6 Version 4. 4 (R2009a) Wavelet ToolboxTM Software . [. . . ] 24 v Wavelet ToolboxTM Software Release Notes Summary by Version This table provides quick access to what's new in each version. For clarification, see Using Release Notes. Version (Release) New Features and Changes Version Compatibility Considerations Fixed Bugs and Known Problems Related Documentation at Web Site Latest Version V4. 5 (R2010a) Yes Details No Bug Reports Includes fixes Printable Release Notes: PDF Current product documentation V4. 4. 1 (R2009b) No No Bug Reports Includes fixes No V4. 4 (R2009a) Yes Details No Bug Reports Includes fixes No V4. 3 (R2008b) Yes Details No Bug Reports Includes fixes No V4. 2 (R2008a) Yes Details No Bug Reports Includes fixes No V4. 1 (R2007b) Yes Details No Bug Reports Includes fixes No 1 Summary by Version V4. 0 (R2007a) Yes Details No Bug Reports Includes fixes No V3. 1 (R2006b) V3. 0. 4 (R2006a) V3. 0. 3 (R14SP3) V3. 0. 2 (R14SP2) V3. 0. 1 (R14SP1) V3. 0 (R14) Yes Details No No No No Yes Details No No No No No Yes Summary Bug Reports Includes fixes No bug fixes No bug fixes No bug fixes No bug fixes Fixed Bugs No No No No No No Using Release Notes Use release notes when upgrading to a newer version to learn about: · New features · Changes · Potential impact on your existing files and practices Review the release notes for other MathWorksTM products required for this product (for example, MATLAB® or Simulink®) for enhancements, bugs, and compatibility considerations that also might impact you. If you are upgrading from a software version other than the most recent one, review the release notes for all interim versions, not just for the version you are installing. For example, when upgrading from V1. 0 to V1. 2, review the release notes for V1. 1 and V1. 2. 2 Wavelet ToolboxTM Software Release Notes What's in the Release Notes New Features and Changes · New functionality · Changes to existing functionality Version Compatibility Considerations When a new feature or change introduces a reported incompatibility between versions, the Compatibility Considerations subsection explains the impact. Compatibility issues reported after the product is released appear under Bug Reports at the MathWorks Web site. Bug fixes can sometimes result in incompatibilities, so you should also review the fixed bugs in Bug Reports for any compatibility impact. Fixed Bugs and Known Problems The MathWorks offers a user-searchable Bug Reports database so you can view Bug Reports. The development team updates this database at release time and as more information becomes available. This includes provisions for any known workarounds or file replacements. Information is available for bugs existing in or fixed in Release 14SP2 or later. Information is not available for all bugs in earlier releases. Access Bug Reports using your MathWorks Account. 3 Version 4. 5 (R2010a) Wavelet ToolboxTM Software Version 4. 5 (R2010a) Wavelet ToolboxTM Software This table summarizes what's new in Version 4. 5 (R2010a): New Features and Changes Version Compatibility Considerations Fixed Bugs and Known Problems Related Documentation at Web Site Yes No Bug Reports Includes fixes Printable Release Notes: PDF Current product documentation New features and changes introduced in this version are · "3-D Discrete Wavelet Transform" on page 4 · "Nondecimated Wavelet Transform" on page 4 · "New Denoising Function" on page 5 3-D Discrete Wavelet Transform This release adds new functions and a GUI to support the 3-D discrete wavelet transform. This new functionality lets you decompose, analyze, and display a 3-D object using a different wavelet for each dimension. The new functions are: dwt3, idwt3, wavedec3, and waverec3. A demo (wavelet3ddemo) is also included. Nondecimated Wavelet Transform New nondecimated wavelet transform functions support signals of arbitrary size and different extension modes. Previous functionality had two limitations: signal length had to equal a power of 2 and the only allowable extension mode was periodized. The new functions are: ndwt, indwt, ndwt2, and indwt2. A demo (ndwtdemo) is also included. 4 Wavelet ToolboxTM Software Release Notes New Denoising Function The new cmddenoise function uses interval-dependent denoising to compute the denoised signal and coefficients. This allows you to apply different denoising thresholds to different portions of the signal, which is typically nonuniform. You can also export thresholds from the GUI and use them in the cmddenoise function. The toolbox includes a denoising demo (cmddenoise). 5 Version 4. 4. 1 (R2009b) Wavelet ToolboxTM Software Version 4. 4. 1 (R2009b) Wavelet ToolboxTM Software This table summarizes what's new in Version 4. 4. 1 (R2009b): New Features and Changes Version Compatibility Considerations Fixed Bugs and Known Problems Related Documentation at Web Site No No Bug Reports Includes fixes Printable Release Notes: PDF Current product documentation 6 Wavelet ToolboxTM Software Release Notes Version 4. 4 (R2009a) Wavelet ToolboxTM Software This table summarizes what's new in Version 4. 4 (R2009a): New Features and Changes Version Compatibility Considerations Fixed Bugs and Known Problems Related Documentation at Web Site Yes Details below No Bug Reports Includes fixes Printable Release Notes: PDF New features introduced in this version are three new demos. New Demos The toolbox now includes three new demos: Adding a New Wavelet Wavelet Interval-dependant Denoising Wavelet Scalograms 7 Version 4. 3 (R2008b) Wavelet ToolboxTM Software Version 4. 3 (R2008b) Wavelet ToolboxTM Software This table summarizes what's new in Version 4. 3 (R2008b): New Features and Changes Version Compatibility Considerations Fixed Bugs and Known Problems Related Documentation at Web Site Yes Details below No Bug Reports Includes fixes Printable Release Notes: PDF New features and changes introduced in this version are · "True Image Compression Support" on page 8 · "New Demo" on page 8 True Image Compression Support The new wcompress functions lets you compress 2-D image data. Use Import from Workspace and Export to Workspace, respectively, on the GUI's File menu. Scalograms for Continuous Wavelet Transforms The ability to compute scalograms of the wavelet coefficients in continuous wavelet analysis has been added as an option to the cwt function. You can also pass the structure produced by cwt directly to the new wscalogram function. [. . . ] From the command line, use the wfbm and wfbmesti functions to synthesize and perform parameter estimation of fractional Brownian motion, respectively. Lifting Methods Added You can use lifting methods to design new wavelets. The new lifting methods also allow integer-to-integer wavelet transforms and transforms using different length decomposition high-pass and low-pass filters. Five groups of new lifting functions are included in Wavelet Toolbox, Version 3. 0: · Key lifting scheme structures - addlift--Add primal or dual elementary lifting steps to a lifting scheme - displs--Display a lifting scheme - lsinfo--Information about lifting schemes · Biorthogonal quadruplets of filters - bswfun--Compute and plot biorthogonal "scaling and wavelet" functions - filt2ls--Transform a quadruplet of filters to a lifting scheme - liftfilt--Apply elementary lifting steps on quadruplet of filters - ls2filt--Transform a lifting scheme to a quadruplet of filters · Orthogonal or biorthogonal ("true") wavelets and "lazy" wavelets. - liftwave--Provides lifting scheme associated to a wavelet - wave2lp--Provides Laurent polynomials associated to a wavelet - wavenames--Provides wavelet names available for LWT · Direct and inverse Lifting Wavelet Transform (LWT) - lwt--1-D Lifting Wavelet Transform - lwt2--2-D Lifting Wavelet Transform - lwtcoef--Extract or reconstruct 1-D LWT wavelet coefficients - lwtcoef2--Extract or reconstruct 2-D LWT wavelet coefficients - ilwt--Inverse 1-D Lifting Wavelet Transform - ilwt2--Inverse 2-D Lifting Wavelet Transform 21 Version 3. 0 (R14) Wavelet ToolboxTM Software · Laurent polynomials and matrices (see Note below) - laurmat--Constructor for the class LM of Laurent Matrices - laurpoly--Constructor for the class LP of Laurent Polynomials Compatibility Consideration If you saved laurmat or laurpoly objects using the names lm or lp, respectively, in the Beta release, you must rename them to laurmat or laurpoly, respectively, in this release of Wavelet Toolbox 3. 0. Speed Enhancements Many functions, including those involving decomposition and reconstruction, have been enhanced so they run more efficiently. New Extension Modes for DWT Four new extension modes are available for dwt, which allows specifying halfor whole-point symmetry, or half- or whole-point anti-symmetry. [. . . ]