Linear Time-Invariant Systems (LTI) Superposition Convolution

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Linear Time-Invariant Systems (LTI) Superposition Convolution. Linear Time-Invariant Systems (LTI) Superposition Convolution Causal System. Linear Time-Invariant Systems (LTI) Superposition Convolution Causal System. Causal. Linear Time-Invariant Systems (LTI) Superposition

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Linear Time-Invariant Systems (LTI) Superposition Convolution

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1. Linear Time-Invariant Systems (LTI) Superposition Convolution

2. Linear Time-Invariant Systems (LTI) Superposition Convolution Causal System

3. Linear Time-Invariant Systems (LTI) Superposition Convolution Causal System Causal

4. Linear Time-Invariant Systems (LTI) Superposition Convolution Causal System Causal

5. Matched Filter Signal plus noise, recover the signal Can we choose h(t) to make y(t)=s(t)?

6. Matched Filter Signal plus noise, recover the signal Can we choose h(t) to make y(t)=s(t)? Assume s(t)=0, t<0 and s(t)=0, t>t0. Let h(t)=s(t0-t)

7. Matched Filter Signal plus noise, recover the signal Can we choose h(t) to make y(t)=s(t)? Assume s(t)=0, t<0 and s(t)=0, t>t0. Let h(t)=s(t0-t)

8. Matched Filter Signal plus noise, recover the signal h(t)=s(t0-t)

9. Matched Filter Signal plus noise, recover the signal Assume s(t)=0, t<0 and s(t)=0, t>t0 Let h(t)=s(t0-t)

10. s(t) s(t0-t)

11. MATLAB simulation of Convolution http://www.eas.asu.edu/~eee407/labs03/node3.html#SECTION00021000000000000000

12. Example 1 By inspection, y(t)=0, t<0 y(t)=0, t>2 h(t) 1 1 1 t-1 t

13. Example 1 By inspection, y(t)=0, t<0 y(t)=0, t>2 h(t) 1 1 1 for t-1 t Maximum @ t=1,

14. Example 1 By inspection, y(t)=0, t<0 y(t)=0, t>2 h(t) 1 1 1 t-1 t