1. Week 14. Review 1.Signals and systems 2.State machines 3.Linear systems 4.Hybrid systems 5.LTI systems & frequency response 6.Convolution 7.Fourier Transforms 8.Sampling & reconstruction

2. 1. Signals & systems

3. 2. State machines System is represented by a state machine M

4. M1M1 M2M2 M3M3 M

5. 3. Linear state machine [A,b,c T,d], SISO

7. 4. Hybrid system

9. 5. LTI and frequency response

11. 6. Convolution

12. 7. The four Fourier Transforms Aperiodic time, cont frequency Periodic time, disc frequency Aperiodic freq, continuous time CTFT InvCTFT FS InvFS Periodic freq, discrete time DTFT Inv DTFT DFT p InvDFT p

14. 8. Sampling and reconstruction

15. Find the appropriate FT or DTFT T-T 1 Example

16. T -T