Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 7th Sem New 2171708 Digital Signal Processing Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2171708 Date: 19/11/2018
Subject Name: Digital Signal Processing
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a)
Determine the z transform of finite duration sequence
? ?
( ) 1,2,3,4,5 xn
?
?
03
(b) Write about anti-aliasing filter for DSP system. 04
(c) Explain classification of discrete time systems in detail. 07
Q.2 (a)
Decide whether system
2
( ) ( ) y n x n ? is linear or nonlinear.
03
(b) Introduce quantization and quantization errors. 04
(c) Brief about architecture of DSP processor with necessary sketch. 07
OR
(c) Discuss advantages of digital over analog signal processing. 07
Q.3 (a) What are even and odd signals? Give example. 03
(b) Compute 4 point DFT of sequence ( ) { 1,0,2,3} xn
?
? with matrix of twiddle
factor.
04
(c) Represent the system transfer function
1 2 1 2
3 7 7 3
( ) (1 )(1 )
7 8 9 2
H z z z z z
? ? ? ?
? ? ? ? ? using direct form structure and
cascade form structure.
07
OR
Q.3 (a) Write any three properties of z transform. 03
(b) Brief about relationship of the discrete Fourier transform to the z
transform.
04
(c) Compute 4 point DFT of sequence ( ) {2,1,1,2} xn
?
? by definition and with
matrix of twiddle factor.
07
Q.4 (a) Explain transposed form of structure for discrete time systems. 03
(b) Perform linear convolution using mathematical equation for following
sequences ( ) { 1,1, 1 } hn
?
?? and ( ) { 1, 1,2} xn
?
??
04
(c) Determine cross correlation ()
xh
rl for following sequences
( ) { 3, 2,1,4,8, 3} xn
?
? ? ? ? and ( ) { 1,1,1, 1,2, 2} hn
?
? ? ?
07
OR
Q.4 (a) Introduce various terms of specifications for FIR filter design. 03
(b) List windowing techniques for filter design. Explain any one window in
detail.
04
(c) Perform circular convolution for following two sequences
1
( ) {2,1,2,1 } xn
?
? and
2
( ) { 1,2,3,4} xn
?
?
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2171708 Date: 19/11/2018
Subject Name: Digital Signal Processing
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a)
Determine the z transform of finite duration sequence
? ?
( ) 1,2,3,4,5 xn
?
?
03
(b) Write about anti-aliasing filter for DSP system. 04
(c) Explain classification of discrete time systems in detail. 07
Q.2 (a)
Decide whether system
2
( ) ( ) y n x n ? is linear or nonlinear.
03
(b) Introduce quantization and quantization errors. 04
(c) Brief about architecture of DSP processor with necessary sketch. 07
OR
(c) Discuss advantages of digital over analog signal processing. 07
Q.3 (a) What are even and odd signals? Give example. 03
(b) Compute 4 point DFT of sequence ( ) { 1,0,2,3} xn
?
? with matrix of twiddle
factor.
04
(c) Represent the system transfer function
1 2 1 2
3 7 7 3
( ) (1 )(1 )
7 8 9 2
H z z z z z
? ? ? ?
? ? ? ? ? using direct form structure and
cascade form structure.
07
OR
Q.3 (a) Write any three properties of z transform. 03
(b) Brief about relationship of the discrete Fourier transform to the z
transform.
04
(c) Compute 4 point DFT of sequence ( ) {2,1,1,2} xn
?
? by definition and with
matrix of twiddle factor.
07
Q.4 (a) Explain transposed form of structure for discrete time systems. 03
(b) Perform linear convolution using mathematical equation for following
sequences ( ) { 1,1, 1 } hn
?
?? and ( ) { 1, 1,2} xn
?
??
04
(c) Determine cross correlation ()
xh
rl for following sequences
( ) { 3, 2,1,4,8, 3} xn
?
? ? ? ? and ( ) { 1,1,1, 1,2, 2} hn
?
? ? ?
07
OR
Q.4 (a) Introduce various terms of specifications for FIR filter design. 03
(b) List windowing techniques for filter design. Explain any one window in
detail.
04
(c) Perform circular convolution for following two sequences
1
( ) {2,1,2,1 } xn
?
? and
2
( ) { 1,2,3,4} xn
?
?
07
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2
Q.5 (a) Explain term ?radix? for FFT algorithm. 03
(b) Find sequence () Xk using decimation in time FFT technique for
( ) {0,1, 2,3} xn ?
04
(c)
Determine the inverse z transform of
12
1
()
1 1.5 0.5
Xz
zz
??
?
??
by power
series expansion for ROC 1 z ? .
07
OR
Q.5 (a) With example explain signal flow diagram representations of Linear
Constant-Coefficient Difference equations.
03
(b)
Determine digital filter for analog filter
? ?
2
2
()
sa
Hs
s a b
?
?
??
using
impulse invariance method.
04
(c)
Find z transform and ROC of
? ?
? ?
1
( ) 1 5 ( ) ( 1)
2
n
n
x n u n u n ? ? ? ? ?
07
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This post was last modified on 20 February 2020