For the following systems, determine if they are i) linear or non linear, ii) causal or...

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For the following systems, determine if they are i) linear or non linear, ii) causal or non causal, iii) stable or unstable, iv) time invariant or time variant. Justify your answer with a proof or a counter example. (a) y[n] = √x[n]| (b) y[n] (n-1)x[n -2] = (c) y[n] = x[n²] (d) y[n] = (x[n])² (e) y[n] = x[-2n + 1] (f) y[n] + x[n] + x[n+ 1] = 1 (g) yn +1]+y[n- 1] = x[2n] (h) y[n 1] + y[n] = √|x[n]| - For the following systems, determine if they are i) linear or non linear, ii) causal or non causal, iii) stable or unstable, iv) time invariant or time variant. Justify your answer with a proof or a counter example. (a) y[n] = √x[n]| (b) y[n] (n-1)x[n -2] = (c) y[n] = x[n²] (d) y[n] = (x[n])² (e) y[n] = x[-2n + 1] (f) y[n] + x[n] + x[n+ 1] = 1 (g) yn +1]+y[n- 1] = x[2n] (h) y[n 1] + y[n] = √|x[n]| -

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Lets analyze each system individually a yn xn i Linearity This system is nonlinear because it involves a square root operation ii Causality The system is causal since the output only depends on the pr... View the full answer