Consider the system consisting of a squaring device whose input-output relation is given by y(t) = x²(t) as shown in the diagram below. x(t) ()2 y(t) (a) Is this system a linear or non-linear system? (b) If the input to the system is x(t) = Ae¬at´u(t), what is the energy in y(t)? (c) If the input to the system is x(t) = Acos2nfotu(t), what is the power in y(t)?

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Consider the system consisting of a squaring device whose input-output relation is given
by y(t) = x²(t) as shown in the diagram below.
x(t)
()2
y(t)
(a) Is this system a linear or non-linear system?
(b) If the input to the system is x(t) = Ae¬at´u(t), what is the energy in y(t)?
(c) If the input to the system is x(t) = Acos2nfotu(t), what is the power in y(t)?
Transcribed Image Text:Consider the system consisting of a squaring device whose input-output relation is given by y(t) = x²(t) as shown in the diagram below. x(t) ()2 y(t) (a) Is this system a linear or non-linear system? (b) If the input to the system is x(t) = Ae¬at´u(t), what is the energy in y(t)? (c) If the input to the system is x(t) = Acos2nfotu(t), what is the power in y(t)?
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