Signal Processing - Study Mode
[#211] Which one of the following statements is correct for the given system? $$yleft( n
ight) = {x^2}left( n
ight) + frac{1}{{{x^2}left( {n - 1}
ight)}}$$
Correct Answer
(B) The given system is non-linear, causal and shift-invariant
[#212] The input x(t) and the output y(t) of a continuous- time system are related as $$yleft( t
ight) = intlimits_{t - T}^t {xleft( u
ight)du} $$ The system is
Correct Answer
(A) Linear and time-variant
[#213] The N-point DFT of a sequence x[n], 0 ≤ n ≤ N - 1 is given by $$Xleft[ K
ight] = frac{1}{{sqrt N }}sumlimits_{n = 0}^{N - 1} {xleft[ n
ight]} {e^{ - jfrac{{2pi }}{N}nK}},0 leqslant K leqslant N - 1$$ Denote this relation as X = DFT(x). For N = 4, which one of the following sequences satisfies DFT (DFT (x)) = x.
Correct Answer
(B) x = [1 2 3 2]
[#214] Convolution of x(t + 5) with impulse function δ(t - 7) is equal to
Correct Answer
(C) x(t - 2)
[#215] The Laplace transform of e αt cos (αt) is equal to
Correct Answer
(A) $${{left( {s - alpha }
ight)} over {{{left( {s - alpha }
ight)}^2} + {alpha ^2}}}$$