$${left| {Xleft( k ight)} ight|^2}$$
$$ rac{1}{2}sumlimits_{r = 0}^{N - 1} {Xleft( r ight)X'left( {k + r} ight)} $$
$$ rac{1}{2}sumlimits_{r = 0}^{N - 1} {Xleft( r ight)Xleft( {k + r} ight)} $$
0
Answer is Right!
Answer is Wrong!
52. For a function g(t), it is given that $$\int\limits_{ – \infty }^{ + \infty } {g\left( t \right){e^{ – j\omega t}}dt = \omega {e^{ – 2{\omega ^2}}}} $$ for any real value $$\omega $$ . If $$y\left( t \right) = \int\limits_{ – \infty }^t {g\left( \tau \right)} d\tau ,\,{\rm{then}}\,\int\limits_{ – \infty }^{ + \infty } {y\left( t \right)} dt$$ is. . . . . . . .
0
#NAME?
$$ - {j over 2}$$
$${j over 2}$$
Answer is Right!
Answer is Wrong!
53. The impulse response of a system is h(t) = tu(t). For an input u(t – 1), the output is
$${{{t^2}} over 2}uleft( t ight)$$
$${{tleft( {t - 1} ight)} over 2}uleft( {t - 1} ight)$$
$${{{t^2} - 1} over 2}uleft( {t - 1} ight)$$
Answer is Right!
Answer is Wrong!
54. Let Y(s) be the unit-step response of a causal system having a transfer function $$G\left( s \right) = {{3 – s} \over {\left( {s + 1} \right)\left( {s + 3} \right)}}$$ That is, $$Y\left( s \right) = {{G\left( s \right)} \over s}.$$ The forced response of the system is
u(t) - 2e-t u(t) + e-3t u(t)
2u(t)
u(t)
2u(t) - 2e-t u(t) + e-3t u(t)
Answer is Right!
Answer is Wrong!