GTU BE/B.Tech 2017 Winter Question Papers || Gujarat Technological University
Subject Name: Digital Signal Processing(Departmental Elective - II)
Time: 10:30 AM TO 01:00 PM Total Marks: 70
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-VII (NEW) EXAMINATION — WINTER 2017
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Subject Code: 2170914 Date:02/11/2017Subject Name: Digital Signal Processing(Departmental Elective - II)
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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| Q.1 | MARKS | |
|---|---|---|
| (a) | Differentiate: Analog and digital signal processing. | 03 |
| (b) | Define 1) Signal 2) System 3) Sampling (4) Quantization Give example of each. | 04 |
| (c) | What is pipelining? Explain with reference to DSP. What is interlocking? State need of interlocking in brief. | 07 |
| Q.2 | ||
| (a) | What is ROC in z transform? What is its importance? | 03 |
| (b) | Discuss interconnection of LTI systems. | 04 |
| (c) | State and prove the relationship between z-transform and discrete time Fourier transform. | 07 |
| OR | ||
| (c) | State and prove properties of Fourier transform. | 07 |
| Q.3 | ||
| (a) | Explain the following terms with respect to Digital Signal Processor: 1) MAC | 03 |
| (b) | Explain DIT algorithm. | 04 |
| (c) | State and prove Parseval’s relation for DTFT. | 07 |
| OR | ||
| Q.3 | (a) Draw the block diagram of basic generic harward architecture for a Signal processor. | 03 |
| (b) Define the following terms: 1) Impulse Response 2) Convolution 3) Correlation 4) Aliasing | 04 | |
| (c) State basic structures of IIR systems. Also explain realization of direct form I structure. | 07 | |
| Q.4 | ||
| (a) | Determine which of following signal is periodic. (1) x1(t) =sin 10pt (2) x2(t) = sin 3t | 03 |
| (b) | Explain General Application of DSP. | 04 |
| (c) | Define cross correlation and auto correlation. Find out correlation of sequences. X(n)={2,1,3,7,1,2,-3}, y(n)={1,-1,2,-2,4,1, -2, 5} | 07 |
| OR | ||
| Q.4 | (a) (1) Determine the z-transform of the signal x(n) = d(n+1)+6d(n)+12d(n-3) - d(n-4) | 03 |
| (b) Find the convolution of x(n) = (½)nu(-n) and h(n) = 3nu(n) for all n. | 04 | |
| (c) Write short note on: Hilbert Transform. | 07 | |
| Q.5 | ||
| (a) | State Properties of DFT | 03 |
| (b) | State and prove Final Value theorem for Z-transform | 04 |
| Q.5 | (a) For the system described by y(t) =x(2t) , determine whether the system is (1) Stable (i1) causal | 03 |
| (b) Find the Z-transform and ROC of x (n) = (a)nu(n). | 04 | |
| (c) Discuss the concept of zero input limit cycle oscillation. How this can be eliminated? | 07 |
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