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Lecture #03

Lecture #03. Convolution sum & Integral. Linear system. Convolution Integral :. LTI system. LTI system. …. Linear system. LTI system I.C.=0. Impulse response. Transfer function of the system. LTI system I.C.=0. Any input. Zero state response. Linear system.

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Lecture #03

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  1. Lecture #03 Convolution sum & Integral

  2. Linear system Convolution Integral : LTI system LTI system … signals & systems

  3. Linear system LTI system I.C.=0 Impulse response Transfer function of the system LTI system I.C.=0 Any input Zero state response signals & systems

  4. Linear system Example : Graphical convolution (1) signals & systems

  5. Linear system (2) (3) signals & systems

  6. Linear system (4) (5) signals & systems

  7. Linear system Ans: signals & systems

  8. Convolution sum signals & systems

  9. LTI system Only true for linear system (linearity property) x[k] is a constant with respect to H (linearity property) Let Only true for time invariant system Convolution sum signals & systems

  10. convolution signals & systems

  11. signals & systems

  12. Example 2.1 Impulse response signals & systems

  13. Example 2.2 The input and impulse response are of infinite duration Consider a system with impulse response Find y[n] when the input is x[n]=u[n] signals & systems

  14. signals & systems

  15. signals & systems

  16. signals & systems

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