15.State distributivity and scaling property of 2D DFT

Saturday, 28 December 2013

15.State distributivity and scaling property of 2D DFT




>Table of contents
 
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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