Examples

1. Delta Function if and equal to the unit impulse at has Fourier transform 1 for all .
2. Two impulses

   

3. Gaussian hump is its own Fourier transform.

   

4. Rectangular function

   

   has Fourier transform

   

5. Bed of Nails or Shah function The sampling function in 2 D is given by

   

   and its Fourier transform is once again the bed of nails or Shah function

   

   .