1 A system with transfer function G(s) = ,a>0 is subjected an input 5cos3t. (s+ 1) (s+ a)' cos(3t - 1.892). The value of a is 10 The steady state output of the system is

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Question 3
A finite duration discrete-time signal x[n] is obtained by sampling the continuous-time
signal x(t) = cos(200rtt) at sampling instants t = n/400, n = 0,1, ., 7. The 8-point
....
discrete Fourier transform (DFT) of x[n] is defined as
nkn
X[k] = E x[n]e
k= 0,1,..,7
4
n=0
Which one of the following statements is true?
(a) Only X[2] and X[6] are non-zero
(c) All X[k] are non-zero
(b) Only X[3] and X[5] are non-zero
(d) Only X[4] is non-zero
Question 4
1
A system with transfer function G(s) =
a>0 is subjected an input 5cos3t.
(s+ 1) (s+ a)'
1
cos(3t – 1.892). The value of a is
V10
The steady state output of the system is
Transcribed Image Text:Question 3 A finite duration discrete-time signal x[n] is obtained by sampling the continuous-time signal x(t) = cos(200rtt) at sampling instants t = n/400, n = 0,1, ., 7. The 8-point .... discrete Fourier transform (DFT) of x[n] is defined as nkn X[k] = E x[n]e k= 0,1,..,7 4 n=0 Which one of the following statements is true? (a) Only X[2] and X[6] are non-zero (c) All X[k] are non-zero (b) Only X[3] and X[5] are non-zero (d) Only X[4] is non-zero Question 4 1 A system with transfer function G(s) = a>0 is subjected an input 5cos3t. (s+ 1) (s+ a)' 1 cos(3t – 1.892). The value of a is V10 The steady state output of the system is
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