Course Notes for ECE 6250, Fall 2009

Course Notes for ECE 6250, Fall 2009 - 2/17/2011 Course...

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Overview Course Notes Texts and Resources Homework I. Sampling and filter banks Notes 01 : review of sampling theory Notes 02 : downsampling and decimation, upsampling and interpolation Notes 03 : changing the sampling rate digitally, preview of filter banks Notes 04 : Shannon, Haar, and general conjugate mirror filter banks Notes 05 : orthogonality, vanishing moments, and Daubechies CMFs Notes 06 : time frequency tilings, and the discrete wavelet transform II. Signal representations in vector spaces Notes 07 : introduction to vector spaces and norms Notes 08 : inner product spaces, orthogonal bases, and signal approximation Notes 09 : the Parseval theorem and JPEG Notes 10 : Gram-Schmidt and QR decompositions (updated Sept 30, 4:00p) Notes 11 : norm approximation, iterative re-weighted least-squares (IRLS) III. Wavelets Notes 12 : Shannon wavelets Notes 13 : Haar wavelets Notes 14 : multiresolution analysis and wavelets Notes 15 : wavelet properties and design Notes 16 : wavelets in 2D
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Course Notes for ECE 6250, Fall 2009 - 2/17/2011 Course...

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