BIBO Stability in Z-domain

1. What is the condition of stability in Z domain?
2. What is the condition for the BIBO stability?
3. How do you check stability in Z transform?
4. What is the condition in z domain for stable and causal system both?

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 condition for the BIBO stability?

A system is BIBO stable if every bounded input signal results in a bounded output signal, where boundedness is the property that the absolute value of a signal does not exceed some finite constant.

How do you check stability in Z transform?

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

What is the condition in z domain for stable and causal system both?

The condition for both causality and stability can now be derived as follows. A causal system should have a region of convergence outside the outermost pole. A stable system should have the unit circle in its region of convergence. Therefore, a causal and stable system should have all poles inside the unit circle.