EE473 Homework #1

Reading : Chapter 1, Sections 2.0-2.4 of Chapter 2

1. (3pts) Problem2.1 from Textbook

2. (4pts)

   a) Use MATLAB to plot the continuous time signal x(t)=cos(W t) for W = 0, p/2, p, 3p/2, and 2p.

b) Use MATLAB to plot the discrete-time signal

x(n)= cos(wn) for w=0, p/2, p, 3p/2, and 2p (Sketch these signals as a sequence of vertical lines).

c) Comment on parts a) and b).

   3.   (3 pts)

1. Identify which of the following continuous-time signals are periodic and determine the period

1. x(t)=cos(8p t / 31)

2. x(t)=cos(2p t / 6)

3. x(t)=cos( t / 4)

4. x(t)=e ^{j(2p t / 5)}

1. Identify which of the following discrete-time signals are periodic and determine the period

1. x(n)=cos(2p n / 6)

2. x(n)=cos(8p n / 31)

3. x(n)=cos( n / 4)

4. x(n)=e ^{j(2p n/ 5)}