GTU BE/B.Tech 2018 Winter Question Papers || Gujarat Technological University
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-V (NEW) EXAMINATION — WINTER 2018
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Subject Code: 2150307
Subject Name: Digital Signal Processing
Date: 07/12/2018
Time: 10:30 AM TO 01:00 PM
Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
| Q.1 | MARKS | |
| (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}
--- Content provided by FirstRanker.com --- | 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:
--- Content provided by FirstRanker.com --- | 03 |
| (b) | Check y(n)= x(n)+nx(n-1) is
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| (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 H(z) = (1+3z-1+2z-2)/(1-z-1+2z-2) | 07 |
| Q.3 | ||
| (a) | Prove Differentiation property of Z-Transform. | 03 |
| (b) | Find out convolution of following sequences x(n)= 5n u(n) and h(n)=u(n-5). | 04 |
| (c) | Write a short note on Bilinear Transformation technique of IIR Filter. | 07 |
| Q.3 | ||
| (a) | Find out Cross Correlation of following sequences x(n):{1, 2, 1, 4 } and y(n):{ 1, 2, 0, 1} | 03 |
| (b) | Find out Z-transform and Plot ROC of x(n)=0.5n(u(n — 1) — u(n —5)) | 04 |
| (c) | Use Impulse invariance method and transform following analog filter into digital filters. Ha(s) = (s+5)/((s+5)2 +9) | 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)”. | 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 h(n) for the desired frequency response of a low pass filter given by Hd(ejw) = e-j3w for —p < w < p = 0 for otherwise Use rectangular window of length 5 --- Content provided by FirstRanker.com --- w(n) = 1 for 0 <= n <= 4= 0 elsewhere Determine h(n) also. | 07 |
| Q.5 | ||
| (a) | Write a short note 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 |
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