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TWO DIMENSIONAL SIGNALS


Some 2D signals are $ \ \delta\left (\mathit{x}, \mathit{y}\right ) $,Rect$ \left (\mathit{x}, \mathit{y}\right ) $,Sinc$ \left (\mathit{x}, \mathit{y}\right ) $.One important property of 2D functions is that they are separable,when they are a product of two 1D signals.They are of the form :

  $ \ \mathbf{f}\left (\mathit{x}, \mathit{y}\right )=\mathbf{g}\left (\mathit{x}\right )\mathbf{h}\left (\mathit{y}\right)       <math>Rect<math>\left (\mathit{x}, \mathit{y}\right ) = <math> \begin{cases}    1,  & \mbox{if }|x|&|y|\mbox{ is less than 1} \\   0, & \mbox{if }\mbox{ else}  \end{cases} $

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