1 / 18

Discrete-time Fourier Transform

Discrete-time Fourier Transform. Prof. Siripong Potisuk. Derivation of the Discrete-time Fourier Transform. Recall DTFS pair. where. Thus,. Periodic in w with period 2 p. The limit of integration is over any interval of 2 p in w. DTFT Pair. Conditions for Convergence . Examples. IDTFT.

antonie
Download Presentation

Discrete-time Fourier Transform

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. Discrete-time Fourier Transform Prof. Siripong Potisuk

  2. Derivation of the Discrete-time Fourier Transform

  3. Recall DTFS pair where

  4. Thus, Periodic inw with period 2p The limit of integration is over any interval of2p inw

  5. DTFT Pair

  6. Conditions for Convergence

  7. Examples

  8. IDTFT

  9. 6) Complex Exponentials

  10. DTFT of Periodic Signals Recall the following DTFT pair: Represent periodic signal x[n]in terms of DTFS:

  11. Example: A discrete-time Sine Function

  12. Example: A discrete-time Periodic Impulse Train The DTFS coefficients for this signal are: ck

  13. Properties of DTFT

  14. Properties of DTFT

  15. Convolution Property

  16. Multiplication Property

More Related