EE473 Homework #2

Reading : Sections 2.5-2.9 of Chapter 2

1. (3pts) Problem2.5 from Textbook

2. (3pts) Problem2.26 from Textbook

3. (3pts) Problem2.44 from Textbook

4. (3pts) Problem2.45 from Textbook

5. (5pts) Let x[n] = sin(0.2 p n) for all n to be the input to a digital filter with output y[n] described by the difference equation (assume initially at rest):

   y[n] = x[n] + 0.4 y[n - 1]

   1. Plot several periods of the input and output sequences using MATLAB

   2. Is this digital filter IIR or FIR?

   3. Obtain an analytical expression for the frequency response, H(e ^jw), of this filter

   4. Use MATLAB to plot the magnitude and phase response of this filter. (Hint: Look at the abs and angle MATLAB functions)

   5. Find an analytical expression for the output sequence, y[n].