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While working for-Super-Ultra Dynamic Systems, Inc. you come across the followin

ID: 2988549 • Letter: W

Question

While working for-Super-Ultra Dynamic Systems, Inc. you come across the following system with I/P x(t) and O/P y(t) given by y(t) = sin(ln(x(t + 4))) = H{x(t)}. You need to determine if the system is linear, time-invariant, causal, and memoryless, or not. You use the techniques learned in your signal and systems class and proceed with the formal tests learned in that course to determine these system properties. You show Dr. Donny Uknowhimwell Dangerously, who is your supervisor, the results you obtain including all the work that led you to your conclusions. What does Donny see?

Explanation / Answer

The system is non linear(sine and ln function) time invariant(no multiplicative coefficient of t or power of t) non causal(uses future values) memory less(doesnt use past values) system.