**Question 4**

The frequency response of H(z) was plotted using both POI and Matlab and the results were compared.

**Magnitude Frequency Response from POI**

**Phase Response of H(z) from POI
**

**Results from Matlab
**

From the above Matlab Figure and from the corresponding code, the following data was obtained:

- phase shift at f_0 = 3.1633e-016 or approximately 0
- magnitude at f_0 = 1
- phase shift at f_0+B/2 = -0.7990 rads = 45 degrees
- magnitude at f_0+B/2 = 0.6974 approximately equal to 0.707

Matlab code for question 4 can be viewed here.