2.36 We observe the following input-output pair for an LTI system: • x(t) = 1+ 2 cos(t) + 3 cos(21) • y(t) = 6 cos(t) + 6 cos (21) x(t)-> LTI <->y(t) Determine y(t) in response to a new input x (t) = 4 + 4 cos(t) + 2 cos (2t).

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2.36 We observe the following input-output pair for an LTI
system:
x(t) = 1 + 2 cos(t) + 3 cos (21)
y(t) = 6 cos(t) + 6 cos(2t)
● x (t)
LTI <->y(t)
Determine y(t) in response to a new input
x (t) = 4 + 4 cos(t) + 2 cos(2t).
Transcribed Image Text:2.36 We observe the following input-output pair for an LTI system: x(t) = 1 + 2 cos(t) + 3 cos (21) y(t) = 6 cos(t) + 6 cos(2t) ● x (t) LTI <->y(t) Determine y(t) in response to a new input x (t) = 4 + 4 cos(t) + 2 cos(2t).
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