Line 17: | Line 17: | ||
To understand the relationship between the Fourier Transform of ''w'' and f (in Hertz) we start with the definition of each: | To understand the relationship between the Fourier Transform of ''w'' and f (in Hertz) we start with the definition of each: | ||
− | <math>X(w)=\int\limits_{-\infty}^{\infty} x(t)e^{-jwt} dt \qquad \qquad \qquad \qquad X(f)=\int\limits_{-\infty}^{\infty}x(t)e^{- | + | <math>X(w)=\int\limits_{-\infty}^{\infty} x(t)e^{-jwt} dt \qquad \qquad \qquad \qquad X(f)=\int\limits_{-\infty}^{\infty}x(t)e^{-j2\pi ft} dt |
</math> | </math> |
Revision as of 11:02, 18 September 2014
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} x(t)e^{-jwt} dt \qquad \qquad \qquad \qquad X(f)=\int\limits_{-\infty}^{\infty}x(t)e^{-j2\pi ft} dt $
(create a question page and put a link below)
Questions and comments
If you have any questions, comments, etc. please post them on this page.