Courses > Mathematics > Wavelets, Filter Banks and Applications Wavelets are localized basis functions, good for representing short-time events




Courses > Mathematics > Wavelets, Filter Banks and Applications

18.327 / 1.130 Wavelets, Filter Banks and Applications

Spring 2003

Two-dimensional scaling function generated using Daubechies' 4-tap wavelet filter.
Two-dimensional scaling function generated using Daubechies' 4-tap wavelet filter. (Image created by Prof. Amaratunga.)
 

Course Highlights

This cross-disciplinary course on Wavelets, Filter Banks and Applications features a complete set of lecture notes, problem sets, tools, and related resources.

Course Description

Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

Technical Requirements

MATLAB® software is required to run the .m files found on this course site.



MATLAB® is a trademark of The MathWorks, Inc.


*Some translations represent previous versions of courses.

Courses > Mathematics > Wavelets, Filter Banks and Applications

 

Download this Course

 

18-327Spring-2003.zip (ZIP - 6.65 MB)


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All of the Materials included in the .ZIP file are governed by the same Creative Commons license that governs use of materials published on the MIT OCW page.

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    Courses > Mathematics > Wavelets, Filter Banks and Applications Wavelets are localized basis functions, good for representing short-time events

    Courses > Mathematics > Wavelets, Filter Banks and Applications

    18.327 / 1.130 Wavelets, Filter Banks and Applications

    Spring 2003

    Two-dimensional scaling function generated using Daubechies' 4-tap wavelet filter.
    Two-dimensional scaling function generated using Daubechies' 4-tap wavelet filter. (Image created by Prof. Amaratunga.)
     

    Course Highlights

    This cross-disciplinary course on Wavelets, Filter Banks and Applications features a complete set of lecture notes, problem sets, tools, and related resources.

    Course Description

    Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

    Technical Requirements

    MATLAB® software is required to run the .m files found on this course site.



    MATLAB® is a trademark of The MathWorks, Inc.


    *Some translations represent previous versions of courses.

    Courses > Mathematics > Wavelets, Filter Banks and Applications

     

    Download this Course

     

    18-327Spring-2003.zip (ZIP - 6.65 MB)


    Click the link above to start downloading this course.

    You may need to download file decompression software such as WinZip or StuffIt to open the .ZIP file. For more information about downloading and using zipped courses, read our Frequently Asked Questions.

    All of the Materials included in the .ZIP file are governed by the same Creative Commons license that governs use of materials published on the MIT OCW page.