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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}e^\-jwt\ dt \qquad \qquad \qquad \qquad  X(f)=\int\limits_{-\infty}^{\infty}e^2\pi dt  
+
<math>X(w)=\int\limits_{-\infty}^{\infty}  \qquad \qquad \qquad \qquad  X(f)=\int\limits_{-\infty}^{\infty}   
  
 
</math>
 
</math>

Revision as of 10:56, 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} \qquad \qquad \qquad \qquad X(f)=\int\limits_{-\infty}^{\infty} $




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