Download GTU BE/B.Tech 2019 Winter 7th Sem Old 171003 Digital Signal Processing Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 7th Sem Old 171003 Digital Signal Processing Previous Question Paper

1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ?VII (Old) EXAMINATION ? WINTER 2019
Subject Code: 171003 Date: 28/11/2019

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) Perform the linear convolution of following sequences using graphical method.
x[n]= {1,2,-1} and h[n] = {2,0,-2}

07
(b) State and prove the following properties of DTFT.
(1) Frequency Shifting
(2) Differentiation in Frequency
07
Q.2 (a) Explain the following properties of a discrete time system with suitable example.
(1) Linearity (2) Causality (3) Time invariance
07
(b) What is ROC in context of Z-transform? List various properties of ROC. 07
OR
(b) Define DTFT. Using DTFT, find impulse response of a LTI system described
by difference equation?? [?? ] ?
1
2
?? [?? ? 1] = ?? [?? ] ?
1
4
?? [?? ? 2]
07

Q.3 (a) Find inverse Z-transform of following:
?? (?? ) =
1
(1 +
1
2
?? ?1
) (1 ? 2?? ?1
)(1 ? 3?? ?1
)
|?? | > 3
07
(b) Write short note on Structures for linear phase FIR systems. 07
OR
Q.3 (a) Find Z Transform and ROC of following signals.
(1) ?? [?? ] = ?? ?? ?? ?? [?? ]
(2) ?? [?? ] = (?
1
3
)
?? ?? [?? ] ? (
1
2
)
?? ?? [??? ? 1]
07
(b) Draw Direct form-I and Direct form-II structures for the system whose system
function is
?? (?? ) =
(1 ? 2?? ?1
)(1 ? 4?? ?1
)
?? (1 ?
1
2
?? ?1
)

07
Q.4 (a) What is circular convolution? How is it different from linear convolution?
Determine the circular convolution of two sequences
x(n) = cos( ?n/2) for n=0,1,2,3
h(n) = 2
n
for n= 0,1,2
07
(b) Discuss frequency domain representation of sampling. 07
OR
Q.4 (a) With help of block diagram explain architecture of TMS320C6XXX processor. 07
(b) Define DFT. Show relationship between DFT and DTFT. Prove any one property
of DFT.
07

Q.5 (a) Describe the decimation in frequency algorithm, with the help of a flow graph,
for 8-point DFT computation.
07
(b) Explain windowing method of designing FIR filter. 07
OR

Q.5 (a) Describe the decimation in time algorithm, with the help of a flow graph, for 8-
point DFT computation.
07
(b) List the various methods of designing IIR filter. Explain IIR filter design using
Bilinear Transformation method
07
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