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[[Category:continuous-space Fourier transform]]
 
[[Category:continuous-space Fourier transform]]
  
= Continuous-space Fourier transform of the 2D "rect" function =
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= Continuous-space Fourier transform of the 2D "rect" function ([[:Category:Problem_solving|Practice Problem]])=
 
Compute the Continuous-space Fourier transform (CSFT) of  
 
Compute the Continuous-space Fourier transform (CSFT) of  
  

Revision as of 09:06, 11 November 2011


Continuous-space Fourier transform of the 2D "rect" function (Practice Problem)

Compute the Continuous-space Fourier transform (CSFT) of

$ f(x,y)= \left\{ \begin{array}{ll} 1, & \text{ if } |x|<\frac{1}{2} \text{ and } |y|<\frac{1}{2}\\ 0, & \text{ else}. \end{array} \right. $

Justify your answer.



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