Download GTU B.Tech 2020 Winter 5th Sem 2150307 Digital Signal Processing Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Winter 5th Sem 2150307 Digital Signal Processing Previous Question Paper

Seat No.: ________
Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER?V (NEW) EXAMINATION ? WINTER 2020
Subject Code:2150307 Date:05/02/2021
Subject Name:Digital Signal Processing
Time:10:30 AM TO 12:30 PM Total Marks: 56
Instructions:
1. Attempt any FOUR questions out of EIGHT questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.



Q.1
(a) Define Systems. Briefly classify various types of Systems.
03

(b) Define Sampling Process and state sampling theorem and also explain
04
briefly various errors occurred during sampling process.

(c) For given discrete time signal
07
x(n) = {1, 1, 1, 1, 2}
sketch & compute(if applicable) the following output signals
(i)
x(n)
(ii)
y(n) = x(3-n)
(iii)
z(n) = x(n) . u(n-1)
(iv)
Even Samples of x(n)


Q.2
(a) Define Region of Convergence (ROC) and state the difference
03
between single sided and double Z ? Transform along with the
equation.

(b) Briefly classify and explain the term Time Domain Analysis and
04
Frequency Domain Analysis.

(c) Determine the Z ? transform of signal given by:
07
() = . ()




Q.3
(a) Explain briefly Goertzel Algorithm and state application of it.
03

(b) Compute Linear convolution of following given sequence using
04
mathematical method
x(n) = {1, -2, 1, 2} & h(n) = {2, 2, 1, 1}

(c) Using DFT and IDFT method compute the linear convolution of two
07
sequences
x(n) = {2,3,5} & h(n) = {1,3}





Q.4
(a) Differentiate between Discrete Fourier Transform & Fast Fourier
03
Transform.

(b) Determine rxx & rxy for following sequences:
04
x(n) = {1, -2, 1, 2} & y(n) = {2, 2, 1, 1}

(c) Explain in detail Radix ? 2 DIT ? FFT Algorithm.
07

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Q.5
(a) Explain in brief the Transpose representation of Digital system giving
03
one example.

(b) Draw Direct form ? II structure for following given system
04
1
1 + -1
() =
5
1
(1 - 0.5-1 + 3 -2)(1 + 0.25-1)




(c) The transfer function of analog filter is
07
2
() =
( + 2)( + 3)
Given Ts = 0.1 second.
Design the digital IIR filter using Bilinear Transformation Method



Q.6
(a) Explain Lattice realization of digital system giving suitable example.
03

(b) Obtain Direct form ? I realization of following system
04
1
1
() - ( - 1) + ( - 2) = () + 2( - 2)
6
3

(c) Design a linear phase FIR low pass filter of length seven with cutoff
07
frequency 1 rad/sec using rectangular window.



Q.7
(a) Give the brief comparison between Butterworth and Chebyshew filter.
03

(b) Explain briefly the removal of noise in periodic events or waveform
04
using IIR or FIR filtering approach.

(c) Explain in detail Impulse Invariance Technique for design of IIR
07
filters.



Q.8
(a) Differentiate between IIR filters and FIR filters.
03
(b) Explain briefly the arrhythmias detection from ECG waveform using
04
signal processing approach.
(c) Explain in detail design of IIR filter using approximation of
07
derivatives.

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