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TSBB06 Multidimensional Signal Analysis

Teaching Plan HT2

Lecture Lesson Computer Exercise Content Related Material
2A Introduction and overview Compendium Part 1.
2B Dual bases Compendium Part 2.
2C Least-squares problems, subspaces, normalised convolution Processing Incomplete and Uncertain Data using Subspace Methods, Westin & Knutsson, ICPR, 1994 (accessible from LiU IP-addresses).
4 Scalar products, dual bases, subspaces Problems on exercise sheet 4 (answers).

You may also consider old exam problems, e.g.
C Normalised convolution
2D Principal component analysis
2E Filtering techniques, scale spaces Video: ScaleSpace-1-Intro and ScaleSpace-3-DiffusionEquation.
D Principal component analysis
2F Over-determined representations, frames and the continuous wavelet transform Video: Frames-1-Intro.
E Image blending A Multiresolution Spline with Application to Image Mosaics, Burt & Adelson, 1983 (accessible from LiU IP-addresses.)
5 Principal component analysis, frames Problems on exercise sheet 5 (answers).

You may also consider old exam problems, e.g.
2G Filter banks, Multi-resolution analysis (I) Video: FilterBanks-1-Intro.
2H Multi-resolution analysis (II), DWT, buffer time
6 Filter banks, discrete wavelet transform (DWT), continuous wavelet transform (CWT) Sections 21–22 and Section 20 in the exercises (answers — severely lacking, unfortunately).
F Oversampling & discrete wavelet transform