1.

If the z-transform of a system is given by \(H\left( z \right) = \frac{{\alpha + {z^{ - 1}}}}{{1 + \alpha {z^{ - 1}}}}\) where α is real-valued, |α| < 1, ROC : |z| > |α|, then the system is

A. a low-pass filter
B. a band-pass filter
C. an all-pass filter
D. a high-pass filter
Answer» D. a high-pass filter


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