1.

Consider an LTI system with a system function\(H\left( z \right) = \frac{1}{{1 - \frac{1}{4}{z^{ - 1}}}}\)Its difference equation will be:

A. \(y\left( n \right) - \frac{1}{2}y\left( {n - 1} \right) = x\left( n \right)\)
B. \(y\left( n \right) - \frac{1}{4}y\left( {n - 1} \right) = x\left( n \right)\)
C. \(y\left( n \right) + \frac{1}{2}y\left( {n - 1} \right) = x\left( n \right)\)
D. \(y\left( n \right) - \frac{1}{4}y\left( {n + 1} \right) = x\left( n \right)\)
Answer» C. \(y\left( n \right) + \frac{1}{2}y\left( {n - 1} \right) = x\left( n \right)\)


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