# Time scaing in discrete time variable?

1. Sep 2, 2007

### ratn_kumbh

I wanted to know , if x(n) has DTFT X(e^jw)
then can we define Y(e^jw) in terms of X(e^jw)?
where Y(e^jw)is DTFT of y(n)=x(a*n)or y(n)=x(n/a)
. Because in these cases terms of x(n) are either missed or '0' is padded up, so i think it won't be possible to define Y(e^jw) in terms of X(e^jw). can anybody tell i m right or not?

2. Sep 3, 2007

### ratn_kumbh

continue

OK, i got the answer for y(n)=x(a*n), where a is an integer. Y(e^j$$\omega$$) can be defined.

it is (1/a)*$$\sum$$X(exp(j($$\omega$$+2$$\pi$$m)/a)) where m varies from 0 to a-1.

But can anybody plz tell; is it possible for y(n)=x(n/a) to define Y(e^j$$\omega$$). i am getting confused becoz of 0's which come in y(n) in this case.

Last edited: Sep 3, 2007