1 / 17

Continuous-time Fourier Transform

Continuous-time Fourier Transform. Prof. Siripong Potisuk. Derivation of CTFT. CT Fourier Transform Pair. Conditions for Existence. Applicable for aperiodic signal of finite and infinite duration which satisfies:. Examples. Example: Real Exponential Function. Example: Square Pulse.

shauna
Download Presentation

Continuous-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. Continuous-time Fourier Transform Prof. Siripong Potisuk

  2. Derivation of CTFT

  3. CT Fourier Transform Pair

  4. Conditions for Existence • Applicable for aperiodic signal of finite and infinite duration which satisfies:

  5. Examples

  6. Example: Real Exponential Function

  7. Example: Square Pulse

  8. Example: Gaussian-shaped Signal

  9. Example: Gaussian-shaped Signal (cont’d)

  10. Impulse Response Frequency Response Example of ICTFT: An Ideal Lowpass Filter

  11. CTFT of Periodic Signals Recall the following CTFT pair: Represent periodic signal x(t)in terms of FS

  12. Example: Sinusoidal Signal

  13. Example: A Pulse Train (Sampling Function) where

More Related