Signal Processing - Study Mode
[#291] Consider the signal x(t) = cos(6πt) + sin(8πt), where t is in seconds. The Nyquist sampling rate (in samples/second) for the signal y(t) = x(2t + 5) is
Correct Answer
(C) 16
[#292] The impulse response h[n] of a linear time invariant system is given as $$hleft[ n
ight] = left{ {matrix{
{ - 2sqrt 2 ,} cr
{4sqrt 2 ,} cr
{0,} cr
} }
ight.matrix{
{n = 1, - 1} cr
{n = 2, - 2} cr
{{
m{otherwise}}} cr
} $$ If the input to the above system is the sequence $${e^{{{jpi n} over 4}}},$$xa0 the output is
Correct Answer
(D) $$ - 4{e^{{{jpi n} over 4}}}$$
[#293] If $$Fleft( s
ight) = Lleft[ {fleft( t
ight)}
ight] = {{2left( {s + 1}
ight)} over {{s^2} + 4s + 7}}$$ xa0 xa0 xa0 then the initial and final values of f(t) are respectively
Correct Answer
(B) 2, 0
[#294] A causal LTI system is described by the difference equation 2y[n] = αy[n - 2] - 2x|n| - βx[n - 1]. The system is stable only if
Correct Answer
(C) |α| < 2, any value of β
[#295] The function f(t) has the Fourier transform f(ω) The Fourier transform of $$gleft( t
ight) = left( {intlimits_{ - infty }^infty {gleft( t
ight){e^{ - jomega }}dt} }
ight)$$ xa0 xa0 is
Correct Answer
(C) $${1 over {2pi }}fleft( { - omega }
ight)$$