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Neha Agarwal
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Quote Neha Agarwal Replybullet Topic: Signals and Systems sample questions GATE Exam
    Posted: 09Jan2007 at 6:37pm


Que. 1
The fourier transform of the unit step function is
A
f(jw)=j/w
B
f(jw)=jw
C
f(jw)=1/jw
D
f(jw)=1/w

Que. 2 The fourier transform of function f(at) is given by
A
f(at)=aF(w)
B
f(at)=2/a F(w)
C
f(at)=1/a F(w/a)
D
none

Que. 3
The eigen value of the matrix A= |0  1|  are
                                      |1  0|
A
1,1
B
-1,-1
C
j,-j
D
1,-1

Que. 4
the trigonometric fourier series ofa perodic function can have only
A
cosine term
B
sine term
C
cosine and sine term
D
none of these

Que. 5
inverse Laplace transform of 10/(s^2)+2s+5  is
A
10 (e^-t) sin2t
B
5 (e^-t) sin2t
C
10 (e^-t) cos2t
D
5 (e^-t) cos2t

Que. 6
Laplace transform of (e^-at) f(t) is
A
F(s) (e^-at)
B
F(s-a)
C
F(s+a)
D
F(s)/(s +a)

Que. 7
|Adj A| is equal to
A
         |A|^n
B
         |A|^(n-1)
C
         |A|^(n+1)
D
         |A^-1|

Que. 8
About the fourier series expansion ofa perodic function it can be said 
that
A
Even function have only a constant and cosine terms in there 
FS expansion
B
odd function have only sine terms in there FS expansion
C
functions with half wave symmetry contain only odd harmonics
D
all above the three

Que. 9
the final value of [(L^-1)(2s+1)]/[(s^4)+8(s^3)+16(s^2)+s] is
A
infinity
B
2
C
1
D
0

Que. 10
The fourier transform of a Gaussian time pulse is
A
uniform
B
A pair of impulses
C
Gaussian
D
Rayleigh

Que. 11
The discrete time system described by y(n)=x(n)^2 is
A
causal,linear and time varying
B
causal,non-linear and time varying
C
non-causal,linear and time invarying
D
non-causal,non-linear and time variant

Que. 12
Which one of the following transfer functions does correspond to a non-minimum 
phase system?
A
s/[(s^2)+2s+1]
B
(s+1)/[(s^2)+2s+1]
C
(s+1)/[(s^2)+2s-1
D
(s-1)/[(s^2)+2s+1]

Que. 13
The electromechanical closed loop control system has the following characteristic 
equation:       [(s^3)+6K(s^2)+(K+2)s+8]=0  where K is the forward gain 
of the system.the condition for closed loop stability is
A
K=0.528
B
K=2
C
K=0
D
K=-2528

Que. 14
Which of the following signal is/are periodic?
A
S(t)=cos2t+cos3t+cos5t
B
S(t)=exp[j8(pi)t]
C
S(t)=exp(-7t)sin10(pi)t
D
S(t)=cos2tcos4t

Que. 15
A secound-order system has a transfer function given by     G(s)=25/[(s^2)+8s+25] 
If the system,initally at rest is subjected to a unit step input at t=0,the 
secound peak in response will occur at
A
(pi) sec
B
(pi) /3 sec
C
2(pi)/3 sec
D
(pi)/2 sec




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pallavi_latha
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Quote pallavi_latha Replybullet Posted: 06Feb2007 at 4:47pm
1.a
2.c
3.d
4.c
5.c
6.c
7.b
8.d
9.c
10.not knownQuestion
11.b
12.d
13.d
14.d
15.c
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