# Math 414-501 — Spring 2017

## Current Assignment

Assignment 9 - Due Monday, 4/24/2017.

• Read sections 5.2, 5.3.3, 5.3.4.
• Problems.
1. Chapter 5: 2, 5, 8, 11.
2. Use the decomposition fiter diagram from the text to find $f_{j-1}$ and $w_{j-1}$ for the given $f_j$. (You must use this method to get credit.)
1. $f_2= 2\phi(4x) -3\phi(4x-1)+ \phi(4x-2) + 3\phi(4x-3)$
2. $f_3= \phi(8x) +7\phi(8x-1) -\phi(8x-2) +7\phi(8x-3)- 2\phi(8x-4)$
3. Use the reconstruction fiter diagram from the text to find $f_j$ for the given $w_{j-1},f_{j-1}$. (You must use this method to get credit.)
1. $w_2=-\frac{3}{2} \psi(4x)- \psi(4x-1) + \frac12 \psi(4x-2) - \frac12 \psi(4x-3)$, $f_2= \frac12 \phi(4x) + 2\phi(4x-1)+ \frac52\phi(4x-2) - \frac23\phi(4x-3)$
2. $w_1=-\psi(2x)- \frac32\psi(2x-1)$, $f_1= \frac32 \phi(2x) -\phi(2x-1)$
• Finish getting your projects together by Thursday, 4/20. If necessary, I'll give some more time -- but only a day or two.

Updated 4/18/2017