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2.35. Show that the Fourier transform of x(t)= e-*² is X(f) = e-f². 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-au du = √√/a.]

2.35. Show that the Fourier transform of x(t)= e-*² is X(f) = e-f². 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-au du = √√/a.]

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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2.35. Show that the Fourier transform of x(t) = e-² is X(f) = e-f². 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 = √/α.]
Transcribed Image Text:2.35. Show that the Fourier transform of x(t) = e-² is X(f) = e-f². 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 = √/α.]
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