Page 1 of 8. JNTUWORLD. Code No: 53021 Set No. 1. JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD. II B.Tech. I Sem.
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Code No: 53021 Set No. 1 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II B.Tech. I Sem., I Mid-Term Examinations, August – 2012 SIGNALS AND SYSTEMS Objective Exam Name: ______________________________ Hall Ticket No. A
Answer All Questions. All Questions Carry Equal Marks.Time: 20 Min. Marks: 10.
I
Choose the correct alternative:
1.
The relation between a signum function and a unit step function is ( a ) 2u(t)-1 ( b ) 2u(t) ( c ) u(t)-u(-t) ( d ) u(t)-1
2.
In a set of signals, if no signal can be represented as a linear combination of the remaining signals, then such signals are [ ] ( a ) linearly independent ( b ) linearly dependent ( c ) orthonormal ( d ) orthogonal
3.
In the trigonometric Fourier series representation of a signal a0 is the ( a ) RMS value ( b ) peak value ( c ) mean square value
4.
In the frequency spectrum of an aperiodic signal, the spacing among the components is ( a ) large ( b ) small ( c ) infinity ( d ) zero
5.
Fourier transform of a unit impulse function is ( a ) 1/jw (b)w (c)1
D L
R O
W U
[
[ ( d ) average value
]
]
[
]
[
]
( d ) 1/w
6.
If the width τ of a pulse of height unity approaches infinity, then its Fourier transform is equal to [ ] (a)1 ( b ) πδ(w) ( c ) 2πδ(w) ( d ) infinity
7.
The spectrum of a Gaussian signal is ( a ) Gaussian function ( b ) rectangular function
8.
Parseval’s identity states that
T N
J
(a) 9.
1 2π
∫
∞
−∞
4
X ( w) dw
∫
∞
−∞
(b)
2
x (t ) =
1 2π
∫
∞
−∞
[ 2
X ( w) dw
( c ) ∫
∞
−∞
X ( w) dw
(d)
∫
∞
−∞
( a ) ∑ −∞ Cn ∂ ( w − nw0 ) ( b ) 2π ∑ −∞ Cn ∂ ( w − nw0 ) The Fourier transform of x(-t) is ( a ) X(w) ( b ) X(-w)
∞
]
2
X ( w) dw
The Fourier transform of a periodic function x(t) with period T is ∞
10.
[ ] ( c ) triangular function ( d ) sinc function
[
]
( c ) ∑ −∞ Cn ∂ ( w) ( d ) 2π ∑ −∞ Cn ∂ ( nw0 ) ∞
∞
[ ( c ) X(1/w)
]
( d ) –X(w) Cont…..2
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Code No: 53021
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:2:
Set No. 1
II
Fill in the blanks:
11.
Double integration of a unit impulse function results in a unit--------- function.
12.
The representation of a function x(t) by a set of infinite mutually orthogonal functions is called -----representation of x(t)
13.
The Fourier spectrum exists only at --------- frequencies.
14.
The transfer function in s-domain is known, the transfer function in frequency domain can be found by replacing s by--------
15.
The Fourier transform of signals which do not satisfy the condition of absolute convergence contains ----------------------------------------
16.
Hilbert transform shifts the phase of all frequency components of a signal by -------
17.
For distortionless transmission, the bandwidth of the system must be --------
18.
For a continuous time LTI system to be BIBO stable, its--------- must be absolutely integrable.
19.
A system is stable if every bounded input produces a ------- output.
20.
A system whose magnitude function violates the Paley-Wiener criterion has a ----- impulse response.
D L
R O
W U
J
T N
-o0o-
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Code No: 53021 Set No. 2 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II B.Tech. I Sem., I Mid-Term Examinations, August – 2012 SIGNALS AND SYSTEMS Objective Exam Name: ______________________________ Hall Ticket No. A
Answer All Questions. All Questions Carry Equal Marks.Time: 20 Min. Marks: 10.
I
Choose the correct alternative:
1.
In the frequency spectrum of an aperiodic signal, the spacing among the components is ( a ) large ( b ) small ( c ) infinity ( d ) zero
[
]
2.
Fourier transform of a unit impulse function is ( a ) 1/jw (b)w (c)1
[
]
( d ) 1/w
D L
3.
If the width τ of a pulse of height unity approaches infinity, then its Fourier transform is equal to [ ] (a)1 ( b ) πδ(w) ( c ) 2πδ(w) ( d ) infinity
4.
The spectrum of a Gaussian signal is ( a ) Gaussian function ( b ) rectangular function
5.
Parseval’s identity states that (a)
6.
1 2π
∫
∞
−∞
4
X ( w) dw
∫
∞
−∞
(b)
W U 2
x (t ) =
1 2π
∫
T N
∞
−∞
2
X ( w) dw
( c ) ∫
∞
−∞
X ( w) dw
[ (d)
∫
∞
−∞
( a ) ∑ −∞ Cn ∂ ( w − nw0 ) ( b ) 2π ∑ −∞ Cn ∂ ( w − nw0 )
J
The Fourier transform of x(-t) is ( a ) X(w) ( b ) X(-w)
∞
]
2
X ( w) dw
The Fourier transform of a periodic function x(t) with period T is ∞
7.
R O
[ ] ( c ) triangular function ( d ) sinc function
[
]
( c ) ∑ −∞ Cn ∂ ( w) ( d ) 2π ∑ −∞ Cn ∂ ( nw0 )
( c ) X(1/w)
∞
∞
[
]
[
]
( d ) –X(w)
8.
The relation between a signum function and a unit step function is ( a ) 2u(t)-1 ( b ) 2u(t) ( c ) u(t)-u(-t) ( d ) u(t)-1
9.
In a set of signals, if no signal can be represented as a linear combination of the remaining signals, then such signals are [ ] ( a ) linearly independent ( b ) linearly dependent ( c ) orthonormal ( d ) orthogonal
10.
In the trigonometric Fourier series representation of a signal a0 is the ( a ) RMS value ( b ) peak value ( c ) mean square value
[ ( d ) average value
]
Cont…..2
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Code No: 53021
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:2:
Set No. 2
II
Fill in the blanks:
11.
The transfer function in s-domain is known, the transfer function in frequency domain can be found by replacing s by--------
12.
The Fourier transform of signals which do not satisfy the condition of absolute convergence contains ----------------------------------------
13.
Hilbert transform shifts the phase of all frequency components of a signal by -------
14.
For distortionless transmission, the bandwidth of the system must be --------
15.
For a continuous time LTI system to be BIBO stable, its--------- must be absolutely integrable.
16.
A system is stable if every bounded input produces a ------- output.
17.
A system whose magnitude function violates the Paley-Wiener criterion has a ----- impulse response.
18.
Double integration of a unit impulse function results in a unit--------- function.
19.
The representation of a function x(t) by a set of infinite mutually orthogonal functions is called -----representation of x(t)
20.
The Fourier spectrum exists only at --------- frequencies.
D L
R O
W U
T N
J
-o0o-
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Code No: 53021 Set No. 3 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II B.Tech. I Sem., I Mid-Term Examinations, August – 2012 SIGNALS AND SYSTEMS Objective Exam Name: ______________________________ Hall Ticket No. A
Answer All Questions. All Questions Carry Equal Marks.Time: 20 Min. Marks: 10.
I
Choose the correct alternative:
1.
If the width τ of a pulse of height unity approaches infinity, then its Fourier transform is equal to [ ] (a)1 ( b ) πδ(w) ( c ) 2πδ(w) ( d ) infinity
2.
The spectrum of a Gaussian signal is ( a ) Gaussian function ( b ) rectangular function
3.
Parseval’s identity states that (a)
4.
1 2π
∫
∞
−∞
4
X ( w) dw
∫
∞
−∞
(b)
D L
2
x (t ) =
1 2π
∫
∞
−∞
2
X ( w) dw
R O
( c ) ∫
∞
−∞
X ( w) dw
(d)
∫
∞
−∞
W U
( a ) ∑ −∞ Cn ∂ ( w − nw0 ) ( b ) 2π ∑ −∞ Cn ∂ ( w − nw0 ) ∞
The Fourier transform of x(-t) is ( a ) X(w) ( b ) X(-w)
T N
[
]
2
X ( w) dw
The Fourier transform of a periodic function x(t) with period T is ∞
5.
[ ] ( c ) triangular function ( d ) sinc function
[
]
( c ) ∑ −∞ Cn ∂ ( w) ( d ) 2π ∑ −∞ Cn ∂ (nw0 )
( c ) X(1/w)
∞
∞
[
]
[
]
( d ) –X(w)
6.
The relation between a signum function and a unit step function is ( a ) 2u(t)-1 ( b ) 2u(t) ( c ) u(t)-u(-t) ( d ) u(t)-1
7.
In a set of signals, if no signal can be represented as a linear combination of the remaining signals, then such signals are [ ] ( a ) linearly independent ( b ) linearly dependent ( c ) orthonormal ( d ) orthogonal
8.
In the trigonometric Fourier series representation of a signal a0 is the ( a ) RMS value ( b ) peak value ( c ) mean square value
9.
In the frequency spectrum of an aperiodic signal, the spacing among the components is ( a ) large ( b ) small ( c ) infinity ( d ) zero
[
]
10.
Fourier transform of a unit impulse function is ( a ) 1/jw (b)w (c)1
[
]
J
[ ( d ) average value
]
( d ) 1/w Cont…..2
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Code No: 53021
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:2:
Set No. 3
II
Fill in the blanks:
11.
Hilbert transform shifts the phase of all frequency components of a signal by -------
12.
For distortionless transmission, the bandwidth of the system must be --------
13.
For a continuous time LTI system to be BIBO stable, its--------- must be absolutely integrable.
14.
A system is stable if every bounded input produces a ------- output.
15.
A system whose magnitude function violates the Paley-Wiener criterion has a ----- impulse response.
16.
Double integration of a unit impulse function results in a unit--------- function.
17.
The representation of a function x(t) by a set of infinite mutually orthogonal functions is called -----representation of x(t)
18.
The Fourier spectrum exists only at --------- frequencies.
19.
The transfer function in s-domain is known, the transfer function in frequency domain can be found by replacing s by--------
20.
The Fourier transform of signals which do not satisfy the condition of absolute convergence contains ----------------------------------------
D L
R O
W U
J
T N
-o0o-
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www.android.jntuworld.com
www.jwjobs.net
Code No: 53021 Set No. 4 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II B.Tech. I Sem., I Mid-Term Examinations, August – 2012 SIGNALS AND SYSTEMS Objective Exam Name: ______________________________ Hall Ticket No. A
Answer All Questions. All Questions Carry Equal Marks.Time: 20 Min. Marks: 10.
I
Choose the correct alternative:
1.
Parseval’s identity states that (a)
2.
1 2π
∫
∞
−∞
4
X ( w) dw
∫
∞
−∞
(b)
2
x (t ) =
1 2π
∫
∞
−∞
[ 2
X ( w) dw
( c ) ∫
−∞
X ( w) dw
(d)
The Fourier transform of a periodic function x(t) with period T is ( a ) ∑ −∞ Cn ∂ ( w − nw0 ) ( b ) 2π ∑ −∞ Cn ∂ ( w − nw0 ) ∞
3.
∞
∞
−∞
2
X ( w) dw
D L
[
]
( c ) ∑ −∞ Cn ∂ ( w) ( d ) 2π ∑ −∞ Cn ∂ ( nw0 )
∞
The Fourier transform of x(-t) is ( a ) X(w) ( b ) X(-w)
∫
]
∞
∞
R O
( c ) X(1/w)
[
]
[
]
( d ) –X(w)
4.
The relation between a signum function and a unit step function is ( a ) 2u(t)-1 ( b ) 2u(t) ( c ) u(t)-u(-t) ( d ) u(t)-1
5.
In a set of signals, if no signal can be represented as a linear combination of the remaining signals, then such signals are [ ] ( a ) linearly independent ( b ) linearly dependent ( c ) orthonormal ( d ) orthogonal
6.
In the trigonometric Fourier series representation of a signal a0 is the ( a ) RMS value ( b ) peak value ( c ) mean square value
7.
In the frequency spectrum of an aperiodic signal, the spacing among the components is ( a ) large ( b ) small ( c ) infinity ( d ) zero
[
]
8.
Fourier transform of a unit impulse function is ( a ) 1/jw (b)w (c)1
[
]
W U
T N
J
[ ( d ) average value
]
( d ) 1/w
9.
If the width τ of a pulse of height unity approaches infinity, then its Fourier transform is equal to [ ] (a)1 ( b ) πδ(w) ( c ) 2πδ(w) ( d ) infinity
10.
The spectrum of a Gaussian signal is ( a ) Gaussian function ( b ) rectangular function
[ ] ( c ) triangular function ( d ) sinc function Cont…..2
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Code No: 53021
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:2:
Set No. 4
II
Fill in the blanks:
11.
For a continuous time LTI system to be BIBO stable, its--------- must be absolutely integrable.
12.
A system is stable if every bounded input produces a ------- output.
13.
A system whose magnitude function violates the Paley-Wiener criterion has a ----- impulse response.
14.
Double integration of a unit impulse function results in a unit--------- function.
15.
The representation of a function x(t) by a set of infinite mutually orthogonal functions is called -----representation of x(t)
16.
The Fourier spectrum exists only at --------- frequencies.
17.
The transfer function in s-domain is known, the transfer function in frequency domain can be found by replacing s by--------
18.
The Fourier transform of signals which do not satisfy the condition of absolute convergence contains ----------------------------------------
19.
Hilbert transform shifts the phase of all frequency components of a signal by -------
20.
For distortionless transmission, the bandwidth of the system must be --------
D L
R O
W U
J
T N
-o0o-
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