Download GTU B.Tech 2020 Summer 5th Sem 2150307 Digital Signal Processing Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 5th Sem 2150307 Digital Signal Processing Previous Question Paper

Seat No.: ________
Enrolment No.___________


GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER? V EXAMINATION ? SUMMER 2020
Subject Code: 2150307 Date:29/10/2020
Subject Name: Digital Signal Processing
Time: 02:30 PM TO 05:00 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 following signals with proper example:
03
1. Digital Signal
2. Continuous Time Signal
3. Power Signal

(b) Draw the following signals, if
04
x(n) = {1, 2, 3, 4, 5, 6}
1. x(-n)
2. x(-n-1)
3. x(n/2)
4. 2x(n)

(c) List out different properties of Z-Transform. Explain any three in detail.
07


Q.2 (a) Sketch the following Signals.
03
1. (n-3)
2. (n+3)
3. (-n)
4. (-n+2)

(b) Check y(n)= nx(n-1) is
04
1. Static or Dynamic
2. Time variant or Time In-variant
3. Linear or Non Linear
4. Causal or Anti Causal

(c) For the system
07
Y (n)-3/4y (n-1) +1/8y (n-2) =x (n) +1/2x (n-1). Derive the direct form I
and direct form II structures.


OR


(c) Draw the pa
rallel form realization of following signal
07
y(n) = 5y(n -1) -2y(n -2) + x(n) + 4x(n -1).
Q.3 (a) What do you mean by correlation? Explain with examples.
03

(b) Find out convolution of following sequences
04
x(n)= 5nu(n) and h(n)= u(n-5).

(c) Consider a sequence x[n]={1,1,-1,-1,-1,1,1,-1} determine the DFT X[k] of
07
x[n] using the decimation-in-time FFT algorithm.


OR

Q.3 (a) Obtain the inverse z-transform of the following:
03
X(z) = log(1 + a z-1) , |z| > |a|

(b) Find out the Z-transform of following: X(n) = anu(n)
04

(c) Given x(n)={1,2,3,4,4,3,2,1}, find X(k) using Decimation-In-Frequency
07
FFT algorithm.
1

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Q.4 (a) Explain Mapping between S-plane and Z-plane.
03

(b) Explain Goertzel algorithm to compute DFT.
04

(c) Obtain the lattice filter implementation for the all-pole filter
07

OR

Q.4 (a) What is Equiripple Approximation?
03

(b) What is aliasing? Explain various methods to eliminate aliasing effect.
04

(c) Find out 8-point DFT of x(n)={1,2,1,2} using Radix -2 DIF-FFT
07
algorithm.
Q.5 (a) List the advantages of digital filter.
03

(b) Compare Butterworth and Chebyshev filters.
04

(c) Explain IIR filter design by bilinear transformation method.
07


OR
Q.5 (a) What is "twiddle factor" of DFT?
03
(b) What is Gibbs Phenomena?
04
(c) Explain how to remove baseline drift in ECG using Digital filters.
07
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