Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 7th Sem New 2170914 Digital Signal Processing Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2170914 Date: 23/11/2019
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 the given terms in context of signal processing.
(1) Energy signal (2) Linear system
MARKS
03
(b) Compare Causal and non Causal system with example. 04
(c) What do you mean by Digital Signal Processing (DSP)? Draw 07
general block diagram of DSP and also write its applications.
Q.2 (a) What is minimum phase system? Explain in brief. 03
(b) Explain need of linear convolution with one example. 04
(c) What is Discrete Fourier Transform(DFT)? Why it is 07
periodic? Explain regarding its periodicity property.
OR
(c) Explain Z- transform with applications and prove any one 07
property of Z- Transform.
Q.3 (a) What is up sampling and down sampling? Give one 03
application of that.
(b) Compare IIR and FIR filters. 04
(c) What is BIBO stable system? Give derivation in support to 07
the necessary condition for BIBO stable system.
OR
Q.3 (a) Find Z- Transform of x(n)= -a
n
u(-n-1) 03
(b) For the following system, check for the linearity, time variant, 04
causality and stability.
(1) y(n)= x(n) + nx(n+1) (2) y(n)= x(-n+2)
(c) If y(n)= 0.85y(n-1) + 0.15x(n) is system difference equation 07
then find output for input x(n)=u(n).
Q.4 (a) Find DFT of the unit sample ?(n). Write your comment on 03
that.
(b) What is linear phase system?. Give any one example of it and 04
draw its structure.
(c) Find linear and circular convolution of the sequences 07
x(n)={1,2,3,4} and h(n)={2,1,2,1}. Compare it and write
your comment.
OR
Q.4 (a) What is frequency domain sampling? Why it is required? 03
(b) Briefly explain effect of coefficient quantization in filters. 04
(c) Draw Direct form-I and Direct form-II structure for the 07
function
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2170914 Date: 23/11/2019
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 the given terms in context of signal processing.
(1) Energy signal (2) Linear system
MARKS
03
(b) Compare Causal and non Causal system with example. 04
(c) What do you mean by Digital Signal Processing (DSP)? Draw 07
general block diagram of DSP and also write its applications.
Q.2 (a) What is minimum phase system? Explain in brief. 03
(b) Explain need of linear convolution with one example. 04
(c) What is Discrete Fourier Transform(DFT)? Why it is 07
periodic? Explain regarding its periodicity property.
OR
(c) Explain Z- transform with applications and prove any one 07
property of Z- Transform.
Q.3 (a) What is up sampling and down sampling? Give one 03
application of that.
(b) Compare IIR and FIR filters. 04
(c) What is BIBO stable system? Give derivation in support to 07
the necessary condition for BIBO stable system.
OR
Q.3 (a) Find Z- Transform of x(n)= -a
n
u(-n-1) 03
(b) For the following system, check for the linearity, time variant, 04
causality and stability.
(1) y(n)= x(n) + nx(n+1) (2) y(n)= x(-n+2)
(c) If y(n)= 0.85y(n-1) + 0.15x(n) is system difference equation 07
then find output for input x(n)=u(n).
Q.4 (a) Find DFT of the unit sample ?(n). Write your comment on 03
that.
(b) What is linear phase system?. Give any one example of it and 04
draw its structure.
(c) Find linear and circular convolution of the sequences 07
x(n)={1,2,3,4} and h(n)={2,1,2,1}. Compare it and write
your comment.
OR
Q.4 (a) What is frequency domain sampling? Why it is required? 03
(b) Briefly explain effect of coefficient quantization in filters. 04
(c) Draw Direct form-I and Direct form-II structure for the 07
function
2
y(n)=x(n) + 0.3x(n-1) - 0.4x(n-2) ? 0.8y(n-1) + 0.7y(n-2).
Compare both the structure for hardware requirement.
Q.5 (a) What is adaptive filtering? Where it can be used? 03
(b) Find out H(z) for the given H(s) = 2/( s
2
+ 3s +2) using
impulse invariance method. Take T= 1s
04
(c) Explain the Decimation in Time FFT algorithm. 07
OR
Q.5 (a) Compare Direct Form I and Direct form II. 03
(b) Compare any two Windowing techniques used in FIR filter. 04
(c) State and prove Parseval?s relation for DTFT. 07
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This post was last modified on 20 February 2020