Suppose for input x(t) a linear time-invariant system with impulse response h(t) produces output y(t), so that x(t) * h(t) = y(t). Further, if |x(t)| * |h(t)| = z(t), which of the following statements is true?

Question

TuteeHUB · Accepted Answer

For some but not all t ∈ (-∞, ∞), z(t) ≥ y(t)

TuteeHUB · Answer

For all t ∈ (-∞, ∞), z(t) ≤ y(t)

TuteeHUB · Answer

For some but not all t ∈ (-∞, ∞), z(t) ≤ y(t)

TuteeHUB · Answer

For all t ∈ (-∞, ∞), z(t) ≥ y(t)

1.	Suppose for input x(t) a linear time-invariant system with impulse response h(t) produces output y(t), so that x(t) * h(t) = y(t). Further, if \|x(t)\| * \|h(t)\| = z(t), which of the following statements is true?
A.	For all t ∈ (-∞, ∞), z(t) ≤ y(t)
B.	For some but not all t ∈ (-∞, ∞), z(t) ≤ y(t)
C.	For all t ∈ (-∞, ∞), z(t) ≥ y(t)
D.	For some but not all t ∈ (-∞, ∞), z(t) ≥ y(t)
Answer» D. For some but not all t ∈ (-∞, ∞), z(t) ≥ y(t)

Suppose for input x(t) a linear time-invariant system with impulse response h(t) produces output y(t), so that x(t) * h(t) = y(t). Further, if |x(t)| * |h(t)| = z(t), which of the following statements is true?

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