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Linear Time-Invariant Systems (LTI) Superposition Convolution

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

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