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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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www.jntuworld.com

www.android.jntuworld.com

www.jwjobs.net

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-

www.jntuworld.com

www.jntuworld.com

www.android.jntuworld.com

www.jwjobs.net

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-

www.jntuworld.com

www.jntuworld.com

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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www.android.jntuworld.com

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-

www.jntuworld.com