Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 5th Sem New 2150307 Digital Signal Processing Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?V (NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2150307 Date: 17/06/2019
Subject Name: Digital Signal Processing
Time: 02:30 PM TO 05:00 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) Give the statement of ?Sampling Theorem?. Explain briefly the errors
arises during sampling process.
03
(b) Justify the statement giving mathematical proof ?Any signal can be
expressed using summation of two signal parts where one part is even
signal and the other part is odd signal?.
04
(c) Define Signal Processing. Differentiate between Analog signal
processing and Digital signal processing, and also list out the
applications of Digital Signal Processing.
07
Q.2 (a) State the Properties of Z ? Transform. 03
(b) Define following terms:
1. Convolution 2. Correlation 3. Quantization 4. Aliasing
04
(c) Determine Z ? Transform of following sequence:
1. x(n) = {1, 2, 4, 5, 0, 7}
2. x(n) = {1, 2, 4, 5, 0, 7}
07
OR
(c) Obtain Inverse Z ? Transform of following function using PFE method
and also comment on its ROC
?? (?? ) =
1
(?? ? 1)(?? ? 3)
07
Q.3 (a) Enlist the properties of DFT with necessary mathematical equation. 03
(b) Compute Linear convolution of following given sequence using
mathematical method
x(n) = {1, 1, 1, 1} & h(n) = {1, 1, 1, 1}
04
(c) Calculate 8 point DFT of:
x(n) = {1, 2, 1, 2}
07
OR
Q.3 (a) Write short note on Goertzel algorithm. 03
(b)
Determine r
xx
& r
xy
for following sequences:
x(n) = {1, 1, 0, 1} & y(n) = {4, -3, -2, 1}
04
(c) Explain radix ? N/2 DIT FFT algorithm with necessary diagram.
07
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?V (NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2150307 Date: 17/06/2019
Subject Name: Digital Signal Processing
Time: 02:30 PM TO 05:00 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) Give the statement of ?Sampling Theorem?. Explain briefly the errors
arises during sampling process.
03
(b) Justify the statement giving mathematical proof ?Any signal can be
expressed using summation of two signal parts where one part is even
signal and the other part is odd signal?.
04
(c) Define Signal Processing. Differentiate between Analog signal
processing and Digital signal processing, and also list out the
applications of Digital Signal Processing.
07
Q.2 (a) State the Properties of Z ? Transform. 03
(b) Define following terms:
1. Convolution 2. Correlation 3. Quantization 4. Aliasing
04
(c) Determine Z ? Transform of following sequence:
1. x(n) = {1, 2, 4, 5, 0, 7}
2. x(n) = {1, 2, 4, 5, 0, 7}
07
OR
(c) Obtain Inverse Z ? Transform of following function using PFE method
and also comment on its ROC
?? (?? ) =
1
(?? ? 1)(?? ? 3)
07
Q.3 (a) Enlist the properties of DFT with necessary mathematical equation. 03
(b) Compute Linear convolution of following given sequence using
mathematical method
x(n) = {1, 1, 1, 1} & h(n) = {1, 1, 1, 1}
04
(c) Calculate 8 point DFT of:
x(n) = {1, 2, 1, 2}
07
OR
Q.3 (a) Write short note on Goertzel algorithm. 03
(b)
Determine r
xx
& r
xy
for following sequences:
x(n) = {1, 1, 0, 1} & y(n) = {4, -3, -2, 1}
04
(c) Explain radix ? N/2 DIT FFT algorithm with necessary diagram.
07
2
Q.4 (a) Explain in brief the Transpose representation of Digital IIR system
giving one example.
03
(b) Develop Direct form ? II realization of following system:
?? (?? ) =
3 + 3.6 ?? ?1
+ 0.6?? ?2
1 + 0.1 ?? ?1
? 0.2?? ?2
04
(c) Design a linear phase FIR low pass filter of seventh order with cutoff
frequency 1 rad/sec using rectangular window.
07
OR
Q.4 (a) State the difference between Cascade and Parallel realization of digital
system giving suitable example.
03
(b) Obtain Direct form ? I realization of following system
?? (?? ) ?
3
4
?? (?? ? 1) +
1
8
?? (?? ? 2) = ?? (?? ) +
1
2
?? (?? ? 1)
04
(c) Determine transfer function of digital filter using Impulse Invariance
method at 5Hz sampling frequency for given below H(s),
?? (?? ) =
2
(?? + 1)(?? + 2)
07
Q.5 (a) Compare IIR filter and FIR filter. 03
(b) Explain detection of Alpha waves, Beta waves and Gamma waves
using signal processing techniques.
04
(c) Explain IIR filter design using Bilinear Z ? Transform method. 07
OR
Q.5 (a) Explain mapping of s ? plane and Z ? plane with neat diagram. 03
(b) Explain in brief cardiac arrhythmias detection. 04
(c) What is windowing? Explain in detail the process of converting IIR
system in to FIR system using rectangular window method.
07
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This post was last modified on 20 February 2020