1 / 18

The unit step response of an LTI system

The unit step response of an LTI system. The unit step response of an LTI system. The unit step response of an LTI system. Linear constant-coefficient difference equations. +. delay. depends on x[n]. We don’t know y[n] unless x[n] is given.

cerise
Télécharger la présentation

The unit step response of an LTI system

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The unit step response of an LTI system

  2. The unit step response of an LTI system

  3. The unit step response of an LTI system

  4. Linear constant-coefficient difference equations + delay depends on x[n]. We don’t know y[n] unless x[n] is given. But h[n] doesn’t depend on x[n]. We should be able to obtain h[n] without x[n]. How? • LTI system response properties, this chapter. • Discrete Fourier transform, --- Ch. 5.

  5. Linear constant-coefficient difference equations + delay When n 1, Causality

  6. Linear constant-coefficient difference equations + delay Determine A by initial condition: When n = 0, A = 1

  7. Linear constant-coefficient difference equations + delay Two ways: (1) Repeat the procedure (2)

  8. The unit step response of an LTI system, continuous time

  9. Linear constant-coefficient difference equations + depends on x(t). We don’t know y(t) unless x(t) is given. But h(t) doesn’t depend on x(t). We should be able to obtain h(t) without x(t). How? • LTI system response properties, this chapter. • Continuous time Fourier transform.

  10. Linear constant-coefficient difference equations + When t>0, Causality Determine A by initial condition:

  11. Linear constant-coefficient difference equations + Determine A by initial condition: A = 1

  12. Linear constant-coefficient difference equations +

  13. Singularity functions Define:

  14. Singularity functions

  15. Singularity functions k terms

  16. Singularity functions

  17. Singularity functions --- discrete time Define:

  18. Singularity functions --- discrete time Define:

More Related