Fractional Fourier Transform

Author

Eric W. Weisstein
September 25, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/IntegralTransforms/FractionalFourierTransform.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/FractionalFourierTransform.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Example

Show[GraphicsArray[Block[{$DisplayFunction=Identity},Partition[Table[ListDensityPlot[Abs[Fourier[Table[Sin[x+y],{x,100},{y,100}],FourierParameters->{1,b}]],ColorFunction->Hue,
PlotLabel->TraditionalForm[HoldForm[b]==b],
Mesh->False],{b,6}],3]
]]]