Show that the Fourier transform of x(1) = ex is X(f) = ef. This is an...

 

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Show that the Fourier transform of x(1) = e¯x²² is X(f) = ef. This is an example of a signal whose Fourier transform is of the same functional form as the signal itself. [Hint: Complete the square in the exponent of the Fourier transform integral and use Se-au² du = √n/a.] Show that the Fourier transform of x(1) = e¯x²² is X(f) = ef. This is an example of a signal whose Fourier transform is of the same functional form as the signal itself. [Hint: Complete the square in the exponent of the Fourier transform integral and use Se-au² du = √n/a.]

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