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0, & \mbox{ }\mbox{ else} | 0, & \mbox{ }\mbox{ else} | ||
\end{cases}</math> | \end{cases}</math> | ||
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The rect 2D function looks like a box . | The rect 2D function looks like a box . | ||
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Revision as of 21:54, 5 November 2009
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) $
Rect$ \left (\mathit{x}, \mathit{y}\right ) = \begin{cases} 1, & \mbox{if }|x|,|y|\mbox{ is less than 1} \\ 0, & \mbox{ }\mbox{ else} \end{cases} $
The rect 2D function looks like a box .
