written 8.5 years ago by | • modified 8.5 years ago |
Mumbai University > EXTC > Sem 4 > Signals and Systems
Marks : 04
Year : MAY 2015
written 8.5 years ago by | • modified 8.5 years ago |
Mumbai University > EXTC > Sem 4 > Signals and Systems
Marks : 04
Year : MAY 2015
written 8.5 years ago by |
Z-transform:
σ1 and σ2 depend only on magnitude of z.
As in the case of Laplace transform σ2⇒∞ for a right-sided sequence and σ1⇒0 for a left-sided sequence.
If x[n] is two-sided, the ROC will consist of a ring with both σ1 and σ2 finite and non-zero.
Laplace transform:
σ1 and σ2 depend only on real part of s.
For a right-sided signal σ2⇒∞ and the corresponding ROC is referred to as right-half plane.
Similarly for a left-sided signal σ1⇒∞. This ROC is referred to as left-half plane.
When x(t) is two-sided i.e. of infinite extent for both t>0 and t<0; both σ1 and σ2 are finite and the ROC thus turns out to be a vertical strip in the s-plane.