How do I examine if the signal can be z-transformed?

1. How do you find the Z-transform of a signal?
2. What is the condition for Z-transform to exist?
3. What is the limitation of Z-transform?

How do you find the Z-transform of a signal?

To find the Z Transform of this shifted function, start with the definition of the transform: Since the first three elements (k=0, 1, 2) of the transform are zero, we can start the summation at k=3. In general, a time delay of n samples, results in multiplication by z-n in the z domain.

What is the condition for Z-transform to exist?

For stability the ROC must contain the unit circle. If we need a causal system then the ROC must contain infinity and the system function will be a right-sided sequence. If we need an anticausal system then the ROC must contain the origin and the system function will be a left-sided sequence.

What is the limitation of Z-transform?

Limitations – The primary limitation of the Z-transform is that using Z-transform, the frequency domain response cannot be obtained and cannot be plotted.