1. Week 10. Chapter 9 1.Convolution sum & integral 1.Kronecker delta and Dirac delta 2.Impulse response and convolution 2.Impulse response & frequency response 3.FIR 4.IIR

2. 1.Convolution sum

3. 1.Convolution integral

4. Example

5. 1 1/2 1/3 n 0 12 y

6. Example

7. x t 1 y t e -t x*y t 1-e -t

8. 2. The delta functions

9. area = 1

10. Impulse response and convolution (discrete-time)

11. eecs20/…/topics/convolution/convolution

12. Impulse response and convolution (cont-time)

13. h t e -t x t 02 y t 02

14. From impulse response to frequency response An LTI system S is characterized by h, H. The two are related. Discrete-time

15. Continuous-time

16. Example

19. Causal systems

20. FIR filter 0M k h

21. Implementing FIR topics/convolution/implementation