Math 414-501 — Spring 2019

Assignment 10- Due Wednesday, 4/17/2019.

• Read sections 5.1 and 5.2
• Problems.
  1. Chapter 5 exercises: 3, 4, 5 (Hint: Use the formula for $p_k$ given in Theorem 5.6 in the text.), 8(c) (Hint: First use example 2.2, p. 95, and the ``quartet'' to show that $\text{sinc}(x)$ is in $V_0$, then use the Sampling Theorem with $f(k/2)=\text{sinc}(k/2)$.)

  2. Do chapter 4, problem 2 using the decomposition filter method. For the coeficients that you get, give the corresponding discrete time. (Refer to the lecture on 4/12/19.)

  3. Do chapter 4, problem 7 using the reconstruction filter method. For the coeficients that you get, give the corresponding discrete time. (Refer to the lecture on 4/12/19.).
• Finish groups for projects. Each group leader should send me an email with a list of the group members and a short abstract for the project