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A causal LTI system is described by the following difference equation:


A causal LTI system is described by the following difference equation: 

y(n) – Ay(n-1) - 2A2y(n − 2) = x(n) – 2x(n-1) + x(n–2), 


where A is a real constant. Determine the z-domain transfer function, H(z), of the system in terms of A. 

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