15.State distributivity and scaling property of 2D DFT

15.State distributivity and scaling property of 2D DFT

   December 28, 2013       legend

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Distributivity:

From the definition of the continuous or discrete transform pair,

and, in general,

In other words, the Fourier transform and its inverse are distributive over addition but not over
multiplication.

Scaling:

For two scalars a and b,

af (x, y) <=> aF(u, v)

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