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Parseval's Theorem : 1D,2D and 3D functions

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Computing the total energy of waveform in time & frequency domains.



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Parseval theorem [1]:

In this tutorial we show that the total energy of waveform X(t) (1D,2D and 3D)
computed in time domain is equal to the total energy of the waveform's Fourier Transform F(X(t))=x(f)in the frequency domain .

Reference :

[1] : Parseval des Chênes, Marc-Antoine "Mémoire sur les séries et sur l'intégration complète d'une équation aux différences partielles linéaire du second ordre,à coefficients constants" Paris 1799.

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