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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^\tau\ d\tau \qquad \qquad X(f)=\int\limits_{-\infty}^{\infty}e^\tau\ d\tau $




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Sean Hu, ECE PhD 2009