Signal Processing - Study Mode
[#376] A system is described by the differential equation $${{{d^2}y} over {d{t^2}}} + 5{{dy} over {dt}} + 6yleft( t
ight) = xleft( t
ight).$$ xa0 xa0 Let x(t) be a rectangular pulse given by $$xleft( t
ight) = left{ {matrix{
{1,} & {0 < t < 2} cr
{0,} & {{
m{otherwise}}} cr
} }
ight.$$ Assuming that y(0) = 0 and $${{dy} over {dt}} = 0$$xa0 at t = 0, the Laplace transform of y(t) is
Correct Answer
(B) $${{1 - {e^{ - 2s}}} over {sleft( {s + 2}
ight)left( {s + 3}
ight)}}$$
[#377] Which one of the following is correct? Energy of a power signal is
Correct Answer
(C) infinite
[#378] Consider this variant of the Fibonacci system: y[n] = y[n - 1] - y[n - 2] + x[n], where x[n] represents the input and y[n] represents the output. The poles of the given system will be:
Correct Answer
(C) $${e^{jfrac{pi }{3}}},,{e^{ - jfrac{pi }{3}}}$$
[#379] For a random signal (continuous time) x(t) defined for t ≥ 0, its probability density function (pdf) at t = t 0 is such that
Correct Answer
(A) It is non-negative and its integral equals 1
[#380] If the unit step response of the network is (1 - e -at ), then its impulse response is:
Correct Answer
(B) ae -at