Version 5 (modified by 10 years ago) ( diff ) | ,
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Fourier Transforms
The basic equation for the fourier transform.
with the inverse
Here we want to solve the signup function which is runs from -1 to 1 with a step at x=a
Use the derivative property of
Since derivative of f is the direct delta function
and
Thus we have
The next step is to define the Energy Spectral Density (ESD)
We use Parcivals Thm which tell us "energy" under the curve f(x)
Thus the ESD which we write as E(k) is
which for the sgn function is
So for a step function
Description of Problem
Results
Results
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