(contd. )
We perform the integration over
 as an infinite series of
 evaluated over square areas, i.e.
where
 represents the square,
| 0r, |
 |
and  or, 
Replacing
 by
 we can remove the dependence of the limits of integration on  as,
 |
(3.2.2) |
where
 ,
for all integer values of
A comparison of above equation with equ.(3.2.1) implies that
Or equivalently
 |
(3.2.3) |
where 
Equation(3.2.3) provides the desired relation between the FT's of  and  . This answers our first question.
Example: For rectangular sampling we choose,
and
Then equ (3.2.3) reduces to
relating the two 2-D FTs for rectangular sampling.
(continued in the next slide)
|
