Signal Processing - Study Mode
[#331] If L[f(t)] = F(s), then L[f(t - T)] is equal to
Correct Answer
(B) e -sT F(s)
[#332] The impulse response h(t) of a linear time-invariant continuous time system is described by h(t) = exp(αt)u(t) + exp(βt)u(-t), where u(t) denotes the unit step function, and α and β are real constants. This system is stable if
Correct Answer
(D) α is negative and β is positive
[#333] Given that $$Lleft[ {fleft( t
ight)}
ight] = {{s + 2} over {{s^2} + 1}},Lleft[ {gleft( t
ight)}
ight] = {{{s^2} + 1} over {left( {s + 3}
ight)left( {s + 2}
ight)}},$$ xa0 xa0 xa0 xa0$$hleft( t
ight) = intlimits_0^t {fleft( au
ight)} gleft( {t - au }
ight)d au $$ L[h(t)] is
Correct Answer
(B) $${1 over {s + 3}}$$
[#334] An FIR system is described by the system function $$Hleft( z
ight) = 1 + frac{7}{2}{z^{ - 1}} + frac{3}{z}{z^{ - 2}}$$ The system is
Correct Answer
(C) Mixed phase
[#335] For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f + 2) is given by
Correct Answer
(B) $${1 over 2}xleft( {{t over 2}}
ight){e^{ - {{j4pi t} over 3}}}$$