GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- VII (New) EXAMINATION — WINTER 2019
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Subject Code: 2170914 Date: 23/11/2019Subject Name: Digital Signal Processing
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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MARKS
Q.1 (a) Define the given terms in context of signal processing. [03]
(1) Energy signal (2) Linear system
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(b) Compare Causal and non Causal system with example. [04]
(c) What do you mean by Digital Signal Processing (DSP)? Draw general block diagram of DSP and also write its applications. [07]
Q.2 (a) What is minimum phase system? Explain in brief. [03]
(b) Explain need of linear convolution with one example. [04]
(c) What is Discrete Fourier Transform(DFT)? Why it is periodic? Explain regarding its periodicity property. [07]
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OR
(c) Explain Z- transform with applications and prove any one property of Z- Transform. [07]
Q.3 (a) What is up sampling and down sampling? Give one application of that. [03]
(b) Compare IIR and FIR filters. [04]
(c) What is BIBO stable system? Give derivation in support to the necessary condition for BIBO stable system. [07]
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OR
Q.3 (a) Find Z- Transform of x(n)= -an u(-n-1) [03]
(b) For the following system, check for the linearity, time variant, causality and stability. [04]
(1) y(n)=x(n)+ nx(n+1) (2) y(n)=x(-n+2)
(c) If y(n)=0.85y(n-1) + 0.15x(n) is system difference equation then find output for input x(n)=u(n). [07]
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Q.4 (a) Find DFT of the unit sample d(n). Write your comment on that. [03]
(b) What is linear phase system?. Give any one example of it and draw its structure. [04]
(c) Find linear and circular convolution of the sequences x(n)={1,2,3,4} and h(n)={2,1,2,1}. Compare it and write your comment. [07]
OR
Q.4 (a) What is frequency domain sampling? Why it is required? [03]
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(b) Briefly explain effect of coefficient quantization in filters. [04]
(c) Draw Direct form-I and Direct form-II structure for the function. Compare both the structure for hardware requirement. [07]
Q.5 (a) What is adaptive filtering? Where it can be used? [03]
(b) Find out H(z) for the given H(s) = 2/( s2 + 3s +2) using impulse invariance method. Take T= 1s [04]
(c) Explain the Decimation in Time FFT algorithm. [07]
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OR
Q.5 (a) Compare Direct Form I and Direct form II. [03]
(b) Compare any two Windowing techniques used in FIR filter. [04]
(c) State and prove Parseval’s relation for DTFT. [07]
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