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'''[[Signals_and_systems_practice_problems_list|Practice Question on "Signals and Systems"]]''' | '''[[Signals_and_systems_practice_problems_list|Practice Question on "Signals and Systems"]]''' | ||
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Topic: System Invertibility | Topic: System Invertibility | ||
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The input x(t) and the output y(t) of a system are related by the equation | The input x(t) and the output y(t) of a system are related by the equation | ||
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===Answer 1=== | ===Answer 1=== | ||
| − | + | yes, as two inputs do not necessarily yield the same output. If it was x(t^2) then sure, but it's x^2 (t) | |
| + | -wade | ||
===Answer 2=== | ===Answer 2=== | ||
Write it here. | Write it here. | ||
Latest revision as of 15:37, 10 March 2021
Practice Question on "Signals and Systems"
Topic: System Invertibility
Question
The input x(t) and the output y(t) of a system are related by the equation
$ y(t)=x^2(t) $
Is the system invertible (yes/no)? If you answered "yes", find the inverse of this system. If you answered "no", give a mathematical proof that the system is not invertible.
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
Answer 1
yes, as two inputs do not necessarily yield the same output. If it was x(t^2) then sure, but it's x^2 (t) -wade
Answer 2
Write it here.
Answer 3
Write it here.
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