Math 414-501 — Spring 2023

Assignment 11 - Due Wednesday, 4/26/2023.

• Read sections 5.1.1-5.1.4, 5.2.1-5.2.3.
• Problems.
  1. Chapter 5: 2, 4, 8(c,d,e,f)

  2. Consider the $p_k$'s in Example 5.8, p. 195. Show that the wavelet $\psi(x)$ in equation (5.5) is orthogonal to the $\phi(x-k)$'s.

  3. For the $p_k$'s in Example 5.8, write out the high pass decomposition and reconstruction filters, and do the same for the low pass filters.