Z-transform

Stability of z-transform

Stability of z-transform
  1. How do you know if a Z-transform is stable?
  2. What is the condition of stability in Z domain?
  3. What is the limitation of Z-transform?

How do you know if a Z-transform is stable?

A system is stable if the absolute sum of its impulse response is finite: ch=∞∑n=−∞|h(n)|<∞

What is the condition of stability in Z domain?

ondition of stability is Z-domain is, [H(Z) < ∞ when evaluated on unit circle. That means the system transfer function should be finite if evaluated on unit circle. (3.7.10) Equation (3.7. 6) gives the condition of stability in Z domain.

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.

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