Inverse Z-transform with complex conjugate poles

1. What is the inverse transform of the Z-transform?
2. What are the limitations of Z-transform?
3. How do you find Z-transform in DSP?

What is the inverse transform of the Z-transform?

The Inverse Z-Transform

(4) represents the integration around the circle of radius |z|=r in the counter clockwise direction. This is the direct method of finding inverse Z-transform. The direct method is quite tedious.

What are the limitations 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.

How do you find Z-transform in DSP?

The replacement z=ejw is used for Z-transform to DTFT conversion only for absolutely summable signal. The above equation represents a two-sided Z-transform equation. If it is a continuous time signal, then Z-transforms are not needed because Laplace transformations are used.