MU Electronics Engineering (Semester 7)
Filter Design
December 2014
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


Attempt any four from following:
1 (a) State the concept of adaptive filter.
5 M
1 (b) Explain quadrature mirror filtering in multi-rate DSP.
5 M
1 (c) Write a short note on pre-warping.
5 M
1 (d) Explain the principle of switched capacitor filter.
5 M
1 (e) Compare FIR and IIR filter.
5 M

2 (a) Explain Gibb's phenomenon. State its significance in FIR filter design.
10 M
2 (b) What is FDNR? State its properties. Explain synthesis of low pass functions using FDNR.
10 M

3 (a) Apply bilinear transformation to convert \[ H(s) = \dfrac {2}{(s+1)(s+2)} \] to H(z) with T=1 sec.
10 M
3 (b) Explain the effect of decimation and interpolation in time and frequency domain.
10 M

4 (a) Design analog Chebyshev filter with maximum pass band attenuation of 3dB at Ωp=200 rad/sec and stop band attenuation of 60 dB at Ωs=1500 rad/sec.
10 M
4 (b) Design low pass FIR linear phase filter with II co-efficeints by using Hamming window for following specifications:
Passband frequency: 0.25 KHz
Sampling frequency: 1 Khz.
10 M

5 (a) Explain leap frog realization technique with suitable example.
10 M
5 (b) State working principle of Weiner filter.
5 M
5 (c) Explain the concept of sub-band coding.
5 M

6 (a) Design digital FIR filter with \[ \begin{align*} H_d (e^{jw}) & = e^{-j3w} & for - \dfrac {\pi}{4} \le |w|\le \dfrac {\pi}{4} \\ &=0 & for \dfrac {\pi }{4} \le w \le \pi \ \ \ \ \ \ \end{align*} \] Use Blackman window with N=7.
10 M
6 (b) Determine the order and poles of Lowpass Butterworth filter that has a 3dB attenuation at 500 Hz and attenuation of 40 dB at 1000 Hz.
10 M

Write short notes on:
7 (a) Why antialising/antiimaging required
5 M
7 (b) What is inductance simulation? Explain.
5 M
7 (c) MMSE criteria in adaptive filters.
5 M
7 (d) Matched Z transform.
5 M



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