## EE 451

**Homework Assignment 6 **

Due Oct. 8, 1999

- 1.
- Consider the continuous-time system with the transfer function

with
.
- (a)
- Is this a low-pass, high-pass, or band-pass filter?
- (b)
- Use the method of impulse invariance to transform this filter into a
discrete-time filter. Use a sampling frequency of 2 kHz. Plot the poles and
zeros of the discrete-time filter using MATLAB's
`zplane` function.
- (c)
- Plot the frequency response of the discrete-time filter (magnitude and
phase). Does this look like the type of filter you specified in Part (a)?

- 2.
- Repeat Problem 1 for the system with the transfer function

- 3.
- Problem 4.18
- 4.
- Problem 4.20
- 5.
- Probelm 4.24
- 6.
- Problem 4.36
- 7.
- Problem 4.44. Note that the input to the system should be
*r*_{c}(*t*), not
*x*[*n*].

*Bill Rison*

*1999-10-01*