Example of Computation of inverse Fourier transform (CT signals)

A practice problem on CT Fourier transform


Inverse Fourier Transform

$ \chi(\omega) = 2 \pi \sigma (\omega - \pi) $

$ x[n] = \frac{1}{2\pi}\int_{-\infty}^{\infty} 2\pi \delta (\omega - \pi)e^{j\omega t} dw $

$ x[n] = \int_{-\infty}^\infty \delta (\omega - \pi)e^{j\omega t} dw $

$ x[n] = \int_{\pi} e^{j\omega t} dw $

$ x[n] = e^{j\pi t} $


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Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva