1. Today's lecture System Function Z-Transform of FIR Filter
Properties of z-Transform
Superposition property
Time-Delay property
Convolution and z-transform
Cascade System

2. Z-Transform of FIR Filter

3. Z-Transform of FIR Filter

4. Z-Transform of FIR Filter

5. Properties of the z-Transform
Superposition Property
X(z) = ∑(ax1[n] +bx2[n])z-n
= ∑ax1[n] z-n + ∑ bx2[n] z-n
= X1(z) + X2(z)
ax1[n] +bx2[n] <---> aX1(z) + bX2(z) N
n=0 Z

6. Delay Property

7. Example Delay System

8. Delay Example

9. General I/O Problem

10. FIR Filter = Convolution

11. Convolution Example

12. Convolution Example

13. Cascade Systems

14. Cascade Equivalent

15. Cascade Example

16. Assignment 5
Problems at the end of chapter