Question

A causal LSI system is characterized by system function given by: H (z) = 1+Z⁻¹/(1-2Z⁻¹)(1+(1/4)Z⁻¹)

Determine the ROC

Answer 1

The region of convergence (ROC) for the given system function is the set of all values of z for which |z| > 2.

Step-by-step explanation:

The system function given is: H(z)= \frac{1+Z^{-1}}{(1-2Z^{-1})(1+(\frac{1}{4})Z^{-1})}

To determine the region of convergence (ROC), we need to find the values of z for which H(z) is finite. The ROC is the set of all values of z for which the series in the system function converges. In this case, the ROC is the set of all values of z for which |z| > 2.