Download GTU B.Tech 2020 Winter 7th Sem 2171708 Digital Signal Processing Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Winter 7th Sem 2171708 Digital Signal Processing Previous Question Paper

Seat No.: ________
Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER?VII (NEW) EXAMINATION ? WINTER 2020
Subject Code:2171708 Date:21/01/2021
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) Give classification of signals.
03

(b) For given discrete time system check whether the given system is a
04
Static/Dynami,Linear/Nonlinear,TimeVariant/Invariant,Causal/Noncausal,
Y(n)= x(2*n)

(c) What is aliasing effect and how it can be eliminated?
07



Q.2 (a) Draw & discuss typical block diagram of Digital Signal Processing
03

(b) Explain with suitable example recursive and non-recursive systems.
04

(c) Compute the convolution by graphical method between x(n)={-1,2,3,2,1} and
07
y(n)={2,1,-1,1}




Q.3 (a) ROC of Z-transform and enlist properties of ROC.
03

(b) Derive the Z transform for
04
X(n) = u(-n-2) 2. X(n)=2u(n)

(c) Prove shifting and linearity properties of z transform.
07




Q.4 (a) Show relationship between Z transform and DFT.
03

(b) Determine the causal signal x(n) having the z-transform X(Z)=
1
04
(1-2-1)(1--1)2

(c) Prove differentiation and convolution properties of z transform.
07



Q.5 (a) Compare DTFT with DFT.
03

(b) Calculate 4 point DFT of X(n)={0,1,2,3}
04

(c) List out the properties of DFT prove the symmetry property for DFT.
07



Q.6 (a) Prove linearity property of DFT.
03

(b) Find IDFT of given sequence
04
X(k)={12, -4+j4, -4, -4-j4}

(c) Find circular convolution of the sequences x(n)={1,2,3,4} and h(n)={2,1,2,1}.
07



Q.7 (a) Explain term `radix' for FFT algorithm
03

(b) Explain Low pass and high pass filter.
04

(b) Explain Impulse Invariance Method for IIR filter design
07



Q.8 (a) Enlist difference between FIR and IIR Filter.
03

(b) Explain windowing Method for FIR filter design in brief.
04
(b) Explain Radix-2 Decimation In Time FFT algorithm.
07

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