Signal Processing - Study Mode
[#91] For a function g(t), it is given that $$intlimits_{ - infty }^{ + infty } {gleft( t
ight){e^{ - jomega t}}dt = omega {e^{ - 2{omega ^2}}}} $$ xa0xa0 for any real value $$omega $$ . If $$yleft( t
ight) = intlimits_{ - infty }^t {gleft( au
ight)} d au ,,{
m{then}},intlimits_{ - infty }^{ + infty } {yleft( t
ight)} dt$$ xa0 xa0 xa0 is. . . . . . . .
Correct Answer
(B) -j
[#92] A linear discrete-time system has the characteristics equation, z 3 - 0.81 z = 0. The system
Correct Answer
(A) Is stable
[#93] A function is given by f(t) = sin 2 t + cos 2t. Which of the following is true?
Correct Answer
(B) $$f$$ has frequency components at 0 and $${1 over pi }Hz$$
[#94] Two systems H 1 (z) and H 2 (z) are connected in cascade as shown below. The overall output y(n) is the same as the input x(n) with a one unit delay. The transfer function of the second system H 2 (z) is $$xleft( n
ight) o x08oxed{{H_1}left( z
ight) = frac{{left( {1 - 0.4{z^{ - 1}}}
ight)}}{{left( {1 - 0.6{z^{ - 1}}}
ight)}}} o x08oxed{{H_2}left( z
ight)} o yleft( n
ight)$$
Correct Answer
(B) $$frac{{{z^{ - 1}}left( {1 - 0.6{z^{ - 1}}}
ight)}}{{left( {1 - 0.4{z^{ - 1}}}
ight)}}$$
[#95] Consider a sequence x(n) = [2, 4, 6, 8, 0, 1, 3, 5, 7, 9]. Down-sample the sequence by 3 and then up-sample by 2. The resulting sequence is:
Correct Answer
(C) [2, 0, 8, 0, 3, 0, 9, 0]