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

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GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER-V (NEW) EXAMINATION - WINTER 2020

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Subject Code:2150307 Date:05/02/2021
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.

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2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Define Systems. Briefly classify various types of Systems. 03
(b) Define Sampling Process and state sampling theorem and also explain 04 briefly various errors occurred during sampling process.
(c) For given discrete time signal 07

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x(n)={1,1,1,1,2}
sketch & compute(if applicable) the following output signals
(i) y(n)=x(3-n)
(ii) z(n) =x(n) . u(n-1)
(iii) Even Samples of x(n)

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Q.2 (a) Define Region of Convergence (ROC) and state the difference 03 between single sided and double Z — Transform along with the equation.
(b) Briefly classify and explain the term-Time Domain Analysis and 04 Frequency Domain Analysis.
(c) Determine the Z — transform of signal given by: 07
x(n) = n.aⁿu(n)

Q.3 (a) Explain briefly Goertzel Algorithm and state application of it. 03

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(b) Compute Linear/convolution of following given sequence using 04 mathematical method
x(n) ={1,-2,1,2} & h(n)={2,2,1,1}
(c) Using DFT and IDFT method compute the linear convolution of two 07 sequences
X(n) = {2,3,5} & h(n)={1,3}

Q.4 (a) Differentiate between Discrete Fourier Transform & Fast Fourier 03 Transform.

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(b) Determine Ixx & Ixy for following sequences: 04
X(n) = {1, 2, 1, 2} & Y(n) = {2, 2, 1, 1}
(c) Explain in detail Radix — 2 DIT — FFT Algorithm. 07

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Q.5 (a) Explain the effects of coefficient quantization in brief. Give 03 one example.

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(b) Draw Direct form — II structure for following given system 04
H(Z) = (1+ ½Z^-1) / ((1-0.5Z^-1+ ?Z^-2)(1 +0.25Z^-1))
(c) The transfer function of analog filter is 07
H(s) = 2 / ((s+2)(s+3))
Given Ts = 0.1 second.

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Design the digital IIR filter using Bilinear Transformation Method

Q.6 (a) Explain Lattice realization of digital system giving suitable example. 03
(b) Obtain Direct form — I realization of following system 04
y(n) — ?y(n -1)+ ?y(n -2)=x(n) +2x(n-2)
(c) Design a linear phase FIR low pass filter of length seven with cutoff 07 frequency 1 rad/sec using rectangular window.

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Q.7 (a) Give the brief comparison between Butterworth and Chebyshew filter. 03
(b) Explain briefly the removal of noise in periodic events or waveform 04 using IIR or FIR filtering approach.
(c) Explain in detail Impulse Invariance Technique for design of IIR 07 filters.

Q.8 (a) Differentiate between IIR filters and FIR filters. 03
(b) Explain briefly the arrhythmias detection from ECG waveform using 04 signal processing approach.

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(c) Explain in detail design of IIR filter using approximation of 07 derivatives.

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