Which of the following systems is both time-invariant and causal? A. y(t) = x(2t) B. y(t) = x(t + 1) * x(t) C. y(t) = (t + 3) * cos(x(t - 3)) D. y(t) = x(t/4) E. y(t) = x(t) * x(t - 5)
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- Time-invariant: For any shift t0, if x1(t)=x(t−t0) then the output for x1 must be y1(t)=y(t−t0), where y(t) is the output for x(t). - Causal: For every time t0, y(t0) depends only on x(τ) for τ ≤ t0 (no dependence on future inputs). Show more…
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