Signal Processing - Study Mode
[#316] Find the final value of the system corresponding to $$Yleft( s
ight) = frac{{3left( {s + 2}
ight)}}{{sleft( {{s^2} + 2s + 10}
ight)}}$$
Correct Answer
(C) 0.6
[#317] Consider the differential equation $${{dx} over {dt}} = 10 - 0.2x$$ xa0 xa0 with initial conduction x(0) = 1. The response x(t) for t > 0 is
Correct Answer
(C) 50 - 49e -0.2t
[#318] The pole-zero pattern of a certain filter is shown in figure. The filter must be of the following type
Correct Answer
(C) All-pass
[#319] The ROC of z-transform of the discrete time sequence $$xleft( n
ight) = {left( {{1 over 3}}
ight)^n}uleft( n
ight) - {left( {{1 over 2}}
ight)^n}uleft( { - n - 1}
ight)$$ xa0 xa0 xa0 is
Correct Answer
(A) $${1 over 3} < left| z
ight| < {1 over 2}$$
[#320] It is desired to find three-tap causal filter which gives zero signal as an output to and input of the form [xleft[ n
ight] = {c_1}exp left( { - frac{{jpi n}}{2}}
ight) + {c_2}exp left( {frac{{jpi n}}{2}}
ight),] Where c 1 and c 2 are arbitrary real numbers. The desired three-tap filter is given by h[0] = 1, h[1] = a, h[2] = b and h[n] = 0 for n < 0 or n > 2. What are the values of the filter taps a and b if the output is y[n] = 0 for all n, when x[n] is as given above? [xrightarrow{{xleft[ n
ight]}}x08oxed{x08egin{array}{*{20}{c}}
{n = 0} \
downarrow \
{hleft[ n
ight] = left{ {1,a,b}
ight}}
end{array}}xrightarrow{{yleft[ n
ight] = 0}}]
Correct Answer
(B) a = 0, b = 1