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Digital signal processing Question Paper - Jun 18 - Electronics Engineering (Semester 7) - Mumbai University (MU)
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Digital signal processing - Jun 18
Electronics Engineering (Semester 7)
Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.
1.a.
Compare butterworth and Chebshev filters.
(5 marks)
00
1.b.
Compare FIR and IIR Filters.
(5 marks)
00
1.c.
Compute the DFT of the sequence $x(n)=\{0,1,2,1\}$
(5 marks)
00
1.d.
What is frequency prewarping in Billinear transformation method? Why it is required.
(5 marks)
00
1.e.
Explain the speed improvement in calculating the DFT using FFT.
(5 marks)
00
2.a.
Find DFT of the following sequence using DIT FFT algorithm.
$
x(n)=\{1,1,1,1,1,1,1,0\}
$
(10 marks)
00
2.b.
Find the circular convolution of the two finite duration sequences
$
x 1(n)=\{1,-1,-2,3,-1\} \quad x 2(n)=\{1,2,3\}
$
(5 marks)
00
3.a.
Design a Butterworth digital IIRIow pass filter using Bilinear transformation by taking $T=1$
second, to satisfy the following specifications. $0,707 \leq\left|H\left(e^{jw}) | \leq 1.0 : 0 \leq w \leq 0.2 \pi\right.\right.$
(10 marks)
00
$\mathrm{H}\left(\mathrm{e}^{\mathrm{jw}}) | \leq 0.08 \quad : 0.4 \pi \leq \mathrm{w} \leq \pi\right.$
3.b.
Given that, $H(s)=1 /(S+1)$ . By impulse invariant method, obtain the digital filter transfer
function $y(n)$ .
(10 marks)
00
4.a. Explain different addressing modes of TMS 320 c67xx.
(10 marks)
00
4.b.Explain VLIW architecture in detail.
(10 marks)
00
5.a. Design a linear phase FIR high pass filter using hamming window, with a cutoff frequency,
$\mathrm{w}_{\mathrm{c}}=0.8 \mathrm{\pi rad} /$sample and N = 7.
(10 marks)
00
5.b. Explain frequency sampling method of designing FIR filter?
(10 marks)
00
Q6] Write short notes on (any two)
6.a. Effect of quantization in computation of DFT.
(10 marks)
00
6.b. Application of DFT to radar signal processing.
(10 marks)
00
6.c. Gibs phenomenon.
(10 marks)
00
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