Fourier Transform as a Function of Frequency w Versus Frequency f (in Hertz)
A slecture by ECE student Randall Cochran
Partly based on the ECE438 Fall 2014 lecture material of Prof. Mireille Boutin.
To understand the relationship between the Fourier Transform of w and f (in Hertz) we start with the definition of each:
$ X(w)=\int\limits_{-\infty}^{\infty}e^\-jwt\ dt \qquad \qquad \qquad \qquad X(f)=\int\limits_{-\infty}^{\infty}e^2\pi\ft\ dt $
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