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The system having input x (n) related to output y(n) as y (n) = log |x (n)| is:(a) Nonlinear, causal, stable(b) Linear, noncausal, stable(c) Nonlinear, causal, not stable(d) Linear, noncausal, not stableI got this question in an online quiz.I would like to ask this question from The Z-transform Analysis of Sampled-Data Control Systems in chapter Digital Control Systems of Control Systems

Answer»

The CORRECT option is (a) Nonlinear, causal, stable

Explanation: As y (n) is the FUNCTION of x (n) hence it is nonlinear but it is BOUNDED and also depends UPON PAST and present values therefore it is stable and causal respectively.



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