Download GTU B.Tech 2020 Winter 5th Sem 3150310 Biomedical Signals And Systems Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY

BE- SEMESTER-V (NEW) EXAMINATION - WINTER 2020

Subject Code:3150310 Date:01/02/2021

Subject Name:Biomedical Signals and Systems

Time:10:30 AM TO 12:30 PM Total Marks: 56

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Instructions:

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

Marks

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Q.1 (a) Draw various discrete time standard test signal. 03

(b) Define System. Classify various types of systems. 04

(c) 1. What is the Nyquist criteria for biomedical system? Explain it with example. 03

2. Explain any two properties of DFT. 04

Q.2 (a) Obtain DFT of delayed unit impulse input. 03

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(b) Explain cyclic property of Twiddle Factor 04

(c) Use Circular convolution method to derive linear convolution of following sequences. 07

x(n) = {1,1,1}with h(n) = {0,1,2,2,1}

Q.3 (a) A biomedical signal is described by following equation. Derive its Auto Correlation. 03

y(n)=x(n)+x(n-1)+x(n+1)

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(b) Explain how you can represent a discrete-time signal as weighted impulses. 04

(c) Explain commutative and associative property of Linear Convolution with derivation. 07

Q.4 (a) Explain multiplication method of Linear convolution. 03

(b) Check whether following systems are Linear or not? 04

1. y(n) = sgn[x(n)]

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2. y(n) = Trunc[x(n)]

(c) Write short note on homogeneous solution of LCCDE equation. 07

Q.5 (a) Derive Z-Transform of following and also comment on ROC. 03

x(n) = { -2 3 5 9 0 -6 4 }

(b) Draw the Pole —Zero plot and Unit impulse response of following sequence. 04

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h(n) = 2ⁿu(n)

(c) Define ROC. What is its significance? Enlist any five properties of ROC. 07

Q.6 (a) Derive inverse Z-transform of following equation. 03

X(Z) = 4Z³ -6Z²+9+5Z+3Z^-2+7Z^-3

(b) Derive the unit step response of following signal. 04

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h(n) = 5ⁿu(n)

(c) Explain Differentiation and Scaling properties of Z-Transform with derivation. 07

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Q.7 (a) Explain Parallel realization of IIR structures. 03

(b) Differentiate between following. 04

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1. IIR System
2. FIR System
3. Recursive system
4. Canonical Structure

(c) Draw the cascade and parallel realization of following system 07

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H(z) = (z+1) / (z²+5z+6)

Q.8 (a) Realize the following FIR system using Direct Form method 03

H(z)=1+2z^-1+3z^-2+4z^-3

(b) Realize the following FIR system using cascade Form method 04

H(z)=1+5z^-1+6z^-2

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(c) Write a short note on Frequency Sampling structure of FIR system. 07

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