**Homework Assignment 3 **

Due Sept. 13, 2000

- 1.
- Problem 3.2 (a) (b) (f) (h). Also indicate the region of convergence.
- 2.
- Problem 3.9
- 3.
- Probelm 3.12
- 4.
- Problem 3.24
- 5.
- Problem 3.25.
- 6.
- When the input to an LTI system is

the output is

- Find the system function
*H*(*z*) of the system. Plot the poles and zeros of*H*(*z*), and indicate the region of convergence. - Find the impulse response
*h*(*n*) of the system. - Write the difference equation that characterizes the system.
- Is the system stable? Is it causal?

- Find the system function
- 7.
- Problem 3.49