Signal Processing - Study Mode
[#121] Specify the filter type if its voltage transfer function H(s) is given by $$Hleft( s
ight) = {{Kleft( {{s^2} + 1omega _0^2}
ight)} over {{s^2} + left( {{{{omega _0}} over Q}}
ight)s + omega _0^2}}$$
Correct Answer
(D) Notch filter
[#122] Input x(t) and output y(t) of an LTI system are related by the differential equation y"(t) - y'(t) - 6y(t) = x(t). If the system is neither causal nor stable, the impulse response h(t) of the system is
Correct Answer
(B) $$ - {1 over 5}{e^{3t}}uleft( { - t}
ight) + {1 over 5}{e^{ - 2t}}uleft( { - t}
ight)$$
[#123] A stable linear time invariant (LTI) system has a transfer function $$Hleft( s
ight) = {1 over {{s^2} + s - 6}}.$$ xa0xa0 To make this system causal it needs to be cascaded with another LTI system having a transfer function H 1 (s). A correct choice for H 1 (s) among the following options is
Correct Answer
(B) s - 2
[#124] A signal m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where $$gleft( t
ight) = sumlimits_{k = - infty }^infty {{{left( { - 1}
ight)}^k}delta left( {t - 0.5 imes {{10}^{ - 4}}k}
ight)} $$ The resulting signal is then passed through an ideal low pass filter with bandwidth 1 kHz. The output of the low pass filter would be
Correct Answer
(B) m(t)
[#125] If x 1 (t) = 2sinπt + cos4πt and x 2 (t) = 2sin5πt + 3sin13πt, then
Correct Answer
(A) x 1 and x 2 both are periodic