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Transformées de Fourier et de Laplace

Transformées de Fourier et de Laplace. “Périodisation d’un signal”. x(t). t. -D t /2. D t /2. y(t). t. T. -D t /2. D t /2. -T. Passage à la limite T  . TF d’une fonction porte : dilatation. x(t).  X(f)  2. T  T/5. D f  5 D f. TF d’une fonction porte : translation.

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Transformées de Fourier et de Laplace

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  1. Transformées de Fourier et de Laplace

  2. “Périodisation d’un signal” x(t) t -Dt/2 Dt/2 y(t) t T -Dt/2 Dt/2 -T Passage à la limite T  

  3. TF d’une fonction porte : dilatation x(t) X(f)2 T  T/5 Df 5Df

  4. TF d’une fonction porte : translation

  5. Théorème de Wiener-Kinchine

  6. 1/∆ 1/π∆ ∆ 2π∆ 1/∆ 1/2π∆ ∆ ∆ Delta de Dirac (y) = + pour y = 0, (y) = 0 pour y≠0 et (y) = lim pour ∆0 des fonctions suivantes (entre autres) : sinc (y/∆) Rect (2y/∆) π∆ ∆ Tri (y/∆) ∆

  7. Dictionnaire Fourier-Laplace

  8. Dictionnaire Fourier Y. Thomas,Signaux et systèmes linéaires, Masson

  9. Dictionnaire Fourier

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