SUGGESTED PROBLEMS FROM CHAPTERS 2 & 3 IN FRAZIERS's BOOK: Section 2.1: 2.1.6, 2.1.7. Section 2.1: 2.1.15, 2.1.16, 2.1.17, 2.1.18, 2.1.19. Section 3.2: 3.2.4, 3.2.12 Section 3.1: 3.1.6 (parameterization of unitary matrices) Return to: Department
of Mathematics and Statistics, University
of New Mexico Last updated: October 12, 2001
Texts: An introduction to wavelets through linear algebra,
by M. Frazier
A wavelet tour of signal processing by S. Mallat
Computational problems:
Section 2.2: 2.2.7, 2.2.9.
Section 3.1-3.3: 3.1.2-3.3.1 (Haar basis), 3.1.8-3.3.2 (Shannon basis),
3.3.3 (real Shannon wavelets, see example 3.11) .
2-Dimensional sequence:
Section 2.2: 2.2.18, 2.2.19, 2.2.20.
Section 2.3: 2.3.10.
Section 3.1: 3.1.12, 3.1.14
Section 3.2: 3.2.13, 3.2.14
Counting problems:
Characterization of finite dim filters/wavelets
Section 3.2: 3.2.9 (all finite dim. wavelet basis come from wavelet filters),
3.2.10 ( every vector in dimension 2^n and with length 1 is a wavelet!).