Module 4 : Laplace and Z Transform
Lecture 32 : Properties of Laplace and Z Transform
Conclusion:
In this lecture you have learnt:
If
with ROC = R then
1.
with ROC = R.
2.
with ROC = R.
3.
with
4. e
αt
x(t) ↔ X(s - α) where Re(s - α) ∈ ROC(X(.))
5. If y(t) = (x*h)(t), Y(s) = H(s).X(s) where ROC of Y(s) = ROC(X)
ROC(H)
If
with ROC = R then
1.
with ROC = R except for the possible addition or deletion of infinity from ROC.
2. The continuous-time concept of time scaling does not directly extend to discrete time.Read upsampling for the reason.
3. Other properties of z-transform are similar to that of Laplace transform.
Congratulations, you have finished Lecture 32. To view the next lecture select it from the left hand side menu of the page
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with ROC = R then 
with ROC = R. 
with ROC = R.
with 
ROC(H) 
with ROC = R then 
with ROC = R except for the possible addition or deletion of infinity from ROC. 
