Question

Determine whether the following systems are BIBO(stable), memory less and causal: a) $h(n) = \frac{1}{RC}e^{-t/RC}u(t)$ b) $h(n) = 2u(n) - 2u(n - 1)$ c) $h(t) = e^{-|t|} $ d) $h(t) = e^{2t}u(t - 1).$ Find the output of the following continuous -time systems a. $x(t) = rect(t/4)$ and $h(t) = sin(2\pi t)$ for $0 < t \le 1/4$ b. $x(t) = e^{-2t}u(t)$ and $h(t) = rect((t-2)/4)$

          Determine whether the following systems are BIBO(stable), memory less and causal:
a) $h(n) = \frac{1}{RC}e^{-t/RC}u(t)$
b) $h(n) = 2u(n) - 2u(n - 1)$
c) $h(t) = e^{-|t|} $
d) $h(t) = e^{2t}u(t - 1).$
Find the output of the following continuous -time systems
a. $x(t) = rect(t/4)$ and $h(t) = sin(2\pi t)$ for $0 < t \le 1/4$
b. $x(t) = e^{-2t}u(t)$ and $h(t) = rect((t-2)/4)$

Determine whether the following systems are BIBO(stable), memory less and causal:
a) h(n) = (1)/(RC)e^-t/RCu(t)
b) h(n) = 2u(n) - 2u(n - 1)
c) h(t) = e^-|t|
d) h(t) = e^2tu(t - 1).
Find the output of the following continuous -time systems
a. x(t) = rect(t/4) and h(t) = sin(2π t) for 0 < t ≤ 1/4
b. x(t) = e^-2tu(t) and h(t) = rect((t-2)/4)

Added by Austin K.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Dharmendra Maheshwari

Step 1

For the first part, we need to determine whether the systems are BIBO (stable), memoryless, and causal. Show more…

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Determine whether the following systems are BIBO (stable), memoryless, and causal: a) h(n) = 2u(n) - 2u(n-1) b) h(t) = e^(-|t|) c) h(t) = e^(2t)u(t - 1) Find the output of the following continuous-time systems: a) x(t) = rect(t/4) and h(t) = sin(2Ï€t) for 0 < t < 1/4 b) y(t) = p(t)u(t - 1) and n(t) = x(q)