# Math 414-501 — Spring 2014

## Current Assignment

Assignment 9

• Read sections 5.3.3, 6.2, 6.3
• Problems.
1. Chapter 5 exercise: 13
2. Chapter 6 exercise; 3
3. Show that, for a db4 wavelet $\psi_4$, the wavelet coefficients for a cubic polynomial will be zero.
4. Consider the samples of a function f(x) taken at the resolution 2−3 (j = 3) listed below. Suppose that you are using the db2 scaling function and wavelet.
a3 = [2, −2, 0, 4, 5, 1, 2, 3],  k = −1 to 6. (I.e., a3−1 = 2, etc.)
For each type of padding listed in section 6.3 show the padded signal required to obtain a2k and b2k for all possible k using at least one genuine sample
Not to be handed in.
Updated 4/29/2014