(contd. )

We observe that:

1) By varying sampling matrix , we can adjust periodicity matrix , such that there is no overlap among periodically repeated versions of ; and,

2) By varying in this manner we ensure there is no aliasing.

Using the bandlimited condition, i.e. equ(3.2.3) becomes,

For values of lying in a square centered on origin with sides of length , shown below.

Can be recovered. This implies, can be recovered from ; i.e.

(continued in the next slide)