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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.

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Continuous-time Fourier Transform

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  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

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