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Some 2D signals are <math>\ \delta\left (\mathit{x}, \mathit{y}\right )</math>,Rect<math>\left (\mathit{x}, \mathit{y}\right )</math>,Sinc<math>\left (\mathit{x}, \mathit{y}\right )</math>.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 : | Some 2D signals are <math>\ \delta\left (\mathit{x}, \mathit{y}\right )</math>,Rect<math>\left (\mathit{x}, \mathit{y}\right )</math>,Sinc<math>\left (\mathit{x}, \mathit{y}\right )</math>.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 : | ||
<math>\ \mathbf{f}\left (\mathit{x}, \mathit{y}\right )=\mathbf{g}\left (\mathit{x}\right )\mathbf{h}\left (\mathit{y}\right) | <math>\ \mathbf{f}\left (\mathit{x}, \mathit{y}\right )=\mathbf{g}\left (\mathit{x}\right )\mathbf{h}\left (\mathit{y}\right) | ||
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Rect<math>\left (\mathit{x}, \mathit{y}\right ) = | Rect<math>\left (\mathit{x}, \mathit{y}\right ) = | ||
Revision as of 21:42, 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<math>\left (\mathit{x}, \mathit{y}\right ) = $
