Instructor:  Vasily Strela,    strela@dartmouth.edu

Time: TuTh 2:00-3:50, 104 Bradley

Text: "Wavelets and Filter Banks"  by G. Strang and T. Nguyen, Wellesley-Cambridge Press (1996)

Topics to be discussed in class:

• Filters. Filtering, Shannon Sampling, Ideal Filters, Time, Frequency, and Scale, Decimation, Polyphase, Perfect Reconstruction, M-channel Filter Banks, Wavelets as Iterated Filter Banks, Pyramid Algorithm.
• Wavelets. Multiresolution Analysis, Bases and Frames, Scaling Functions and Dilation Equations, Orthogonal and Biorthogonal Wavelets, Accuracy of Approximation, Cascade Algorithm, Smoothness of Scaling Functions, Fast Wavelet Transform, Multiwavelets.
• Design Methods. Paraunitary Matrices, Halfband Filters, Spectral Factorization, Cosine-Modulated Filter Banks, Lattice Structure, Lifting.
• Applications. Audio and Image Compression, Noise Removal, Edge Detection and Feature Extraction, Refinement Methods for Differential Equations, Your Own Application.

The course will include a project related to the student's area of interest. There are no exams.

For more information contact the instructor at  strela@dartmouth.edu
or  visit   http://math.dartmouth.edu/~m123w99