Download GTU BE/B.Tech 2018 Winter 5th Sem New 2150307 Digital Signal Processing Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 5th Sem New 2150307 Digital Signal Processing Previous Question Paper

www.FirstRanker.com
1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ?V (NEW) EXAMINATION ? WINTER 2018
Subject Code:2150307 Date:07/12/2018

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) What is aliasing? Explain various methods to eliminate aliasing
effect.
03
(b) Draw the following signals, if
x(n) = {
1, 2, 3, 4, 5, 6
?
}
1. x(-n)
2. x(-n-1)
3. x(n/2)
4. 2x(n)
04
(c) Find out 8-point DFT of x(n)={1,2,1,2} using Radix -2 DIF-FFT
algorithm.
07

Q.2 (a) Define following signal:
1. Multichannel Signal
2. Continuous Time Signal
3. Power Signal
03
(b) Check y(n)= x(n)+nx(n-1) is
1. Static or Dynamic
2. Time variant or Time In-variant
3. Linear or Non Linear
4. Causal or Anti Causal
04
(c) Draw the parallel form realization of following signal
y(n) = 3y(n ? 1) ? 2y(n ? 2) + x(n) + 4x(n ? 1).
07
OR
(c) Draw the Cascade form realization of
?? (?? ) =
1 + 3?? ?1
+ 2?? ?2
1 + 7?? ?1
+ 12?? ?2


07
Q.3 (a) Prove Differentiation property of Z-Transform. 03
(b) Find out convolution of following sequences
x(n)= 5
n
u(n) and h(n)= u(n-5).
04
(c) Write a short not on Bilinear Transformation technique of IIR
Filter.
07










www.FirstRanker.com www.FirstRanker.com
www.FirstRanker.com
FirstRanker.com - FirstRanker's Choice
www.FirstRanker.com
1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ?V (NEW) EXAMINATION ? WINTER 2018
Subject Code:2150307 Date:07/12/2018

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) What is aliasing? Explain various methods to eliminate aliasing
effect.
03
(b) Draw the following signals, if
x(n) = {
1, 2, 3, 4, 5, 6
?
}
1. x(-n)
2. x(-n-1)
3. x(n/2)
4. 2x(n)
04
(c) Find out 8-point DFT of x(n)={1,2,1,2} using Radix -2 DIF-FFT
algorithm.
07

Q.2 (a) Define following signal:
1. Multichannel Signal
2. Continuous Time Signal
3. Power Signal
03
(b) Check y(n)= x(n)+nx(n-1) is
1. Static or Dynamic
2. Time variant or Time In-variant
3. Linear or Non Linear
4. Causal or Anti Causal
04
(c) Draw the parallel form realization of following signal
y(n) = 3y(n ? 1) ? 2y(n ? 2) + x(n) + 4x(n ? 1).
07
OR
(c) Draw the Cascade form realization of
?? (?? ) =
1 + 3?? ?1
+ 2?? ?2
1 + 7?? ?1
+ 12?? ?2


07
Q.3 (a) Prove Differentiation property of Z-Transform. 03
(b) Find out convolution of following sequences
x(n)= 5
n
u(n) and h(n)= u(n-5).
04
(c) Write a short not on Bilinear Transformation technique of IIR
Filter.
07










www.FirstRanker.com www.FirstRanker.com
www.FirstRanker.com
www.FirstRanker.com
2

OR
Q.3 (a) Find out Cross Correlation of following sequences
x(n)={
1, 2, 3, 4
?
} and y(n)={
?1, 2, 0, 1
?
}
03
(b) Find out Z-transform and Plot ROC of
x(n)=0.5
?? (?? (?? ? 1) ? ?? (?? ? 5))
04
(c) Use Impulse invariance method and transform following analog
filter into digital filters.
1) ?? ?? (?? ) =
(?? + 5)
(?? + 5)
2
+ 9

2) ?? ?? (?? ) =
1
(?? + 1)(?? + 3)

07
Q.4 (a) Enlist various properties of Discrete Fourier Series. 03
(b) Find out IDFT of X(k)={1,2+j,1,2-j}. 04
(c) What is Transposed Structure? Explain how to find transposed
structure with example.
07
OR
Q.4 (a) Prove: ?If x(n) is real valued sequence then X(N-
k)=X(k)=X*(k)?.
03
(b) Find out circular convolution of x(n)={1,2,3,4} and
h(n)={4,3,2,1}.
04
(c) Determine the filter coefficients hd(n) for the desired frequency
response of a low pass filter given by
?? ?? (?? ????
) = {
?? ??? 5?? ?????? ??? 4
? ?? ?
?? 4
0 ?????? ?? 4
? |?? | ? ??
Use rectangular window of length 5
?? (?? ) = {
1 ?????? 0 ? ?? ? 4
0 ?????????? ???????

Determine h(n) also.
07
Q.5 (a) Write a short not on Linear Phase Response of FIR filter. 03
(b) Enlist any four Windowing methods for FIR filter design. Write
their equations and draw the Window Shapes.
04
(c) Explain how to remove baseline drift in ECG using Digital filters. 07
OR

Q.5 (a) Compare IIR and FIR Filters. 03
(b) Write a short note on Finite word length effect in digital filters. 04
(c) Explain how to analyze heart variability. 07

*************
www.FirstRanker.com www.FirstRanker.com
www.FirstRanker.com
FirstRanker.com - FirstRanker's Choice