Download GTU BE/B.Tech 2019 Winter 5th Sem New 2150307 Digital Signal Processing Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 5th Sem New 2150307 Digital Signal Processing Previous Question Paper

1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2150307 Date: 06/12/2019

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) Define Signal. Explain briefly classification of Signals. 03
(b) Determine whether following signals are periodic or not:
(i) ?? 1(?? )=?????? 15 ????
(ii) ?? 2(?? )=?????? 20 ????
(iii) ?? 3(?? )=?????? ?2 ????
(iv) ?? 4(?? )=?? 1(?? )+?? 2(?? )






04
(c) Explain in detail the overall block diagram of Digital Signal processing
system.
07

Q.2 (a) Enlist properties of Z-Transform and prove any two properties of it. 03
(b) Give definition of following terms:
1. Energy Signal 2. Power Signal 3. Sampling Theorem
4. Quantization Error
04
(c) Determine the z ? transform of sequence given by:
?? (?? )=
{




2
?? , ?? <0
(
1
2
)
?? ,?? =0,2,4
(
1
3
)
?? ,?? =1,3,5

07
OR


(c) Find x (n) for given transfer function using PFE method and also
validate your answer using long division method.
?? (?? )=
2+3?? ?1
(1+?? ?1
)(1+
1
2
?? ?1
)(1?
1
4
?? ?1
)


07
Q.3 (a) Prove any three properties of DFT. 03
(b) Compute Linear convolution of following given sequence using
mathematical method
x(n) = {1, 1, 0, 1, 1} & h(n) = {1, -2, -3, -4}

04
(c) Find the inverse DFT of following response
X(k) = {1, 2, 3, 4}





07

OR

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1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2150307 Date: 06/12/2019

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) Define Signal. Explain briefly classification of Signals. 03
(b) Determine whether following signals are periodic or not:
(i) ?? 1(?? )=?????? 15 ????
(ii) ?? 2(?? )=?????? 20 ????
(iii) ?? 3(?? )=?????? ?2 ????
(iv) ?? 4(?? )=?? 1(?? )+?? 2(?? )






04
(c) Explain in detail the overall block diagram of Digital Signal processing
system.
07

Q.2 (a) Enlist properties of Z-Transform and prove any two properties of it. 03
(b) Give definition of following terms:
1. Energy Signal 2. Power Signal 3. Sampling Theorem
4. Quantization Error
04
(c) Determine the z ? transform of sequence given by:
?? (?? )=
{




2
?? , ?? <0
(
1
2
)
?? ,?? =0,2,4
(
1
3
)
?? ,?? =1,3,5

07
OR


(c) Find x (n) for given transfer function using PFE method and also
validate your answer using long division method.
?? (?? )=
2+3?? ?1
(1+?? ?1
)(1+
1
2
?? ?1
)(1?
1
4
?? ?1
)


07
Q.3 (a) Prove any three properties of DFT. 03
(b) Compute Linear convolution of following given sequence using
mathematical method
x(n) = {1, 1, 0, 1, 1} & h(n) = {1, -2, -3, -4}

04
(c) Find the inverse DFT of following response
X(k) = {1, 2, 3, 4}





07

OR

2

Q.3 (a) Explain briefly application of Goertzel algorithm. 03
(b)
Determine r
xx
& r
xy
for following sequences:
x(n) = {1, 2, 1, 1} & y(n) = {1, 1, 2, 1}

04
(c) Given ?? (?? )=2
?? and ?? =8, find X (k) using DIT FFT algorithm. 07

Q.4 (a) Explain in brief the Cascade representation of Digital IIR system
giving one example.
03
(b) Develop Direct form ? I realization of following system:
?? (?? )=
0.28?? 2
+0.319?? +0.04
0.5?? 3
+0.3?? 2
+0.17?? ?0.2

04

(c) Design and FIR digital filter to approximate an ideal low pass filter
with pass band gain of unity, cut off frequency of 850Hz and working
at sampling frequency of fs = 500Hz. The length of impulse response
should be 5. Use rectangular window function
07

OR
Q.4 (a) Explain Parallel realization of digital system giving suitable example. 03
(b) Obtain Direct form ? II realization of following system
?? (?? )=
0.56?? ?1
+0.638?? ?2
+0.08?? ?3
1+0.6?? ?1
+0.34?? ?2
?0.4?? ?3

04
(c) Convert the analog filter with system function
?? (?? )=
?? +0.1
(?? +1)
2
+9

into a digital IIR filter using bilinear transformation. The digital filter
should have a resonant frequency of ?? ?? =
?? 4


07
Q.5 (a) Differentiate Analog filter and Digital Filter 03
(b) Explain briefly analysis of Cardiac Variability in context on signal
processing.
04
(c) Explain IIR filter design using Bilinear Z ? Transform method. Also
prove the transformation process stability.
07
OR

Q.5 (a) Explain how Laplace transform and Z ? transform are related by their
poles plot diagram?
03
(b) Explain briefly the fundamentals approach for detection of QRS
complex wave from ECG signal using signal processing.
04
(c) Explain IIR filter design using (i) Approximation of derivatives and
(ii) Impulse Invariance method.
07

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