Download GTU B.Tech 2020 Winter 7th Sem 171003 Digital Signal Processing Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Winter 7th Sem 171003 Digital Signal Processing Previous Question Paper

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GTU B.Tech 2020 Winter Question Papers || Gujarat Technological University

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Enrolment No.

Subject Code: 171003

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GUJARAT TECHNOLOGICAL UNIVERSITY

BE- SEMESTER-VII (OLD) EXAMINATION — WINTER 2020

Subject Name: Digital Signal Processing

Time: 10:30 AM TO 12:30 PM

Instructions:

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Attempt any FOUR questions out of EIGHT questions.
Make suitable assumptions wherever necessary.
Figures to the right indicate full marks.

Date: 25/01/2021

Total Marks: 56

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(a) Draw the block diagram of a typical discrete time system and explain in brief. What are the advantages and disadvantages of digital signal processing over analog signal processing ? (07)
(b) Perform the linear convolution of the following two sequences: (07)
x1(n) = 2d(n)+ d(n-1) - d(n-2) + 2d(n-3)
x2(n) = d(n) - 3d(n-1) + 3d(n-2)
(a) Enlist the properties of the z-transform? Prove the convolution property of z-transform. (07)
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(b) Determine the z-transform of the following: (07)
(i) x(n) = (-1/3)ⁿu(n) - (-1/2)ⁿ u(-n-1)
(ii) x(n)=aⁿ, 0 < n < N-1
(a) Determine the inverse z-transform of the following: (07)
H(z) = (1+z) / (1-(1/2)z^-1)(1-2z^-1) , |z| > 1
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(ii) X(z)=log(1+az^-1), |z| > |a|
(b) Derive the expression of reconstruction of a bandlimited signal from its samples. (07)
(a) A discrete time system is given below: (07)
H(z)=(1+z^-1)² / (1-0.75z^-1 +0.125z^-2 )
Draw the following structures of the system:
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(i) Direct-form-I (ii) Direct-form-II (iii) Cascade (iv) Parallel
(b) What is a linear phase system? Discuss different types of FIR linear phase systems. (07)
(a) Discuss the basic structures implementing IIR discrete time systems. (07)
(b) Explain the limit cycles in fixed point realizations of IIR digital filters. What is the solution to avoid limit cycles ? (07)
(a) Discuss the discrete time IIR filter design by (07)
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(i) Impulse Invariance method (ii) Bilinear transformation
(b) Design an FIR low-pass filter satisfying the specification (07)
0.98 < |H(e^jw)| < 1.02, 0 < |w| < 0.63p
-0.15 < |H(e^jw)| < 0.15, 0.65p < |w| < p
(a) By applying a Kaiser window to the impulse response h_d[n] for the ideal discrete time low-pass filter with cutoff w_c=0.64p, find the value of d and M required to satisfy this specification. (07)
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(b) Enlist the properties of the Discrete-Fourier transform? Prove the frequency modulation property of Discrete-Fourier Transform. (07)
(a) Perform the 4-point circular convolution of the following two sequences: (07)
x(n) = d(n)+ 2d(n-1) + 3d(n-2) + 4d(n-3)
h(n) = d(n)+ 2d(n-1) + 3d(n-2) + 2d(n-3)
(b) Explain any two applications of Digital Signal Processing. (07)