Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 7th Sem New 2171003 Digital Signal Processing Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2171003 Date: 29/11/2018
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.
MARKS
Q.1 (a) Define the given terms in context of digital signal processing. (1)
Energy signal (2) Time invariant system
(3) Folded signal
03
(b) Compare IIR and FIR system with example. 04
(c) Where sampling in time domain is required in Digital Signal
Processing? Explain relation between frequency of continuous time
signal (in Hz) and discrete frequency(in Radian) of any signal. Show
how all frequency ranges (i.e. -? ? f ? ?) of continuous time signals
transform to the discrete frequency range of ?? ? ? ? ? .
07
Q.2 (a) What is Linear phase system? Explain it in brief with example. 03
(b) Explain/prove how linear convolution become easier with the help of Z
transforms.
04
(c) What is frequency domain sampling? Why it is required? Explain
relation between number of samples (L) of a discrete time signal x(n)
and its frequency domain samples (N) . What happens if we choose L ?
N?
07
OR
(c) Prove time shifting property of Z-Transform, also give an example. 07
Q.3 (a) Show relationship between Z transform and DFT. 03
(b) What is ROC in context of Z-Transform? List various properties of
ROC.
04
(c) Find Z- transform of sequence x(n) = cos(?0n)u(n) , where x(n) is
causal.
07
OR
Q.3 (a) Compare DTFT and DFT. 03
(b) What is decimation (down sampling)? Where it can be used? What care
must be taken before decimation process?
04
(c) Find out sequence x(n) if its Z transform is given by
X(z)=1/(1-1.5z
-1
+ 0.5z
-2
) with ROC is 0.5 < |z| < 1. Use partial fraction
method.
07
Q.4 (a) Prove periodicity property of DFT. 03
(b) Calculate numbers of complex addition and multiplication required
when computing 512 point DFT using direct method. Also do the same
if radix -2 FFT is used. Give your comment.
04
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2171003 Date: 29/11/2018
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.
MARKS
Q.1 (a) Define the given terms in context of digital signal processing. (1)
Energy signal (2) Time invariant system
(3) Folded signal
03
(b) Compare IIR and FIR system with example. 04
(c) Where sampling in time domain is required in Digital Signal
Processing? Explain relation between frequency of continuous time
signal (in Hz) and discrete frequency(in Radian) of any signal. Show
how all frequency ranges (i.e. -? ? f ? ?) of continuous time signals
transform to the discrete frequency range of ?? ? ? ? ? .
07
Q.2 (a) What is Linear phase system? Explain it in brief with example. 03
(b) Explain/prove how linear convolution become easier with the help of Z
transforms.
04
(c) What is frequency domain sampling? Why it is required? Explain
relation between number of samples (L) of a discrete time signal x(n)
and its frequency domain samples (N) . What happens if we choose L ?
N?
07
OR
(c) Prove time shifting property of Z-Transform, also give an example. 07
Q.3 (a) Show relationship between Z transform and DFT. 03
(b) What is ROC in context of Z-Transform? List various properties of
ROC.
04
(c) Find Z- transform of sequence x(n) = cos(?0n)u(n) , where x(n) is
causal.
07
OR
Q.3 (a) Compare DTFT and DFT. 03
(b) What is decimation (down sampling)? Where it can be used? What care
must be taken before decimation process?
04
(c) Find out sequence x(n) if its Z transform is given by
X(z)=1/(1-1.5z
-1
+ 0.5z
-2
) with ROC is 0.5 < |z| < 1. Use partial fraction
method.
07
Q.4 (a) Prove periodicity property of DFT. 03
(b) Calculate numbers of complex addition and multiplication required
when computing 512 point DFT using direct method. Also do the same
if radix -2 FFT is used. Give your comment.
04
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(c) If impulse response of a linear phase system is given by h(n)={1,0.5,-
0.25,0.5,1}. Realize the structure for the same.
07
OR
Q.4 (a) Give limitations of Impulse Invariance method of designing IIR filter. 03
(b) Draw cascade structure for the system function
H(z) = (1+ 0.25 z
-1
+ z
-2
)( 1+ 0.5 z
-1
+ z
-2
)
04
(c) Explain Radix-2 decimation in frequency FFT algorithm with neat
diagram.
07
Q.5 (a) Explain steps to design FIR filter using windowing. 03
(b) Explain echo cancellation using adaptive filtering. 04
(c) For the sequence x(n)={1,2,1} and impulse response h(n)={1,2}, find the
linear convolution using circular convolution. Match result of same
using tabulation/matrix method.
07
OR
Q.5 (a) List disadvantages of digital filters. 03
(b) Explain bilinear transformation method to design IIR filter. 04
(c) Explain any two real world application of Digital Signal Processor. 07
*************
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This post was last modified on 20 February 2020