MU Electronics Engineering (Semester 7)
Filter Design
December 2013
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1 (a) Compare FIR and IIR filter
5 M
1 (b) Sketch the characteristics are response of Butterworth, Chebyshev-I and II, and elliptic filters in analog domain.
5 M
1 (c) Ideal filter characteristics are not realisable. Given reason for the same.
5 M
1 (d) Describe the basic principle and writing of switched capacitor filter.
5 M
1 (e) Digital the analog transfer fortune using impulse invariable method.
\[H_{a}(s)=\dfrac{2}{(s+1)(s+3)}\]
5 M

2 (a) Prove that zeros points of a liner phase FIR filter occur at reciprocal locations.
5 M
2 (b) Design a low pass IIR Butterworth filter for the following specifications.
i) Passband attn=1dB
ii) Stopband attn =15dB
iii) Passband edge frequency=200 Hz
iv) Stopband edge frequency=540 Hz
v) Sampling frequency=8 KHz
Use Bilinear transformation.
15 M

3 (a) Design a low pass phase FIR filter for 11 coefficient using Hamming window for following specifications.
Passband frequency:0.25 KHz
Sampling frequency : 1KHz.
10 M
3 (b) Derive the expression for order N of Butterworth filter.
10 M

4 (a) Prove that \[S=\dfrac{2}{T}\left ( \dfrac{1 Z^{-1}}{1+Z^{-1}} \right )and\ w=2\tan^{-1} \left ( \dfrac{\Omega T}{2} \right )\], in Bilinear transformation method.
Explain the mapping between analog and digital frequency to domain.
10 M
4 (b) Explain frequency sampling technique of FIR filter design.
10 M

5 (a) What is FDNR? State and explain its properties and method to realise a low pass filter using FDNR.
10 M
5 (b) Explain the effect of interpolation and decimation in time and frequency domain.
10 M

6 (a) Write a note on the frequency transformation technique of converting a normalized low pass filter into the desired one.
10 M
6 (b) Compare frequency mapping in impulse invariance and Bilinear transformation method.
10 M

Write short note on ( any three)
7 (i) Adaptive filter.
7 M
7 (ii) Window function-characteristics response and features..
7 M
7 (iii) Sub-bond coding technique.
7 M
7 (iv) FIR filter design using Kaiser Window
7 M



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