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

1. Signals & systems

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

M1M1 M2M2 M3M3 M

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

4. Hybrid system

5. LTI and frequency response

6. Convolution

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

8. Sampling and reconstruction

Find the appropriate FT or DTFT T-T 1 Example

T -T