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 Butterworth, Chebyshev and Elliptic filter
5 M
1 (b) Compare FIR and IIR filter
5 M
1 (c) Explain the concept of sub-band coding
5 M
1 (d) Prove that symmetric and even length liner phase FIR filter have one compulsory zero at-1
5 M

2 Design digital low-pass Butterworth filter for the following specifications
\[0.92 \leq \left | H(e^{jw}) \right |\leq 1\] \[f\leq 1200 Hz\]
\[\left | H(e^{jw}) \right |\leq 0.003\] \[f \geq 5000 Hz\]
Assume sampling frequency of 12000 Hz. Use Biliner transformation technique for the design
20 M

3 (a) Explain the frequency transformation method in analog domain
10 M
3 (b) Explain the procedure of design of FIR filter using frequency sampling technique
10 M

4 (a) Design digital FIR filter for the following specifications
Hd(ejw)=3e-j3ω 0.35 π ≤ ∞ ≤ 0.55 π
=0 otherwise
Use hamming window for the design
10 M
4 (b) What is an adaptive filter? What are its advantages? Which type of problems can be solved using adaptive filters.
10 M

5 (a) Explain Weiner filter and its application
10 M
5 (b) Explain Quadrature mirror filtering
10 M

6 (a) Explain with suitable example, the concept of polyphase interpolation. Compare it with single phase interpolation.
10 M
6 (b) Explain Gibb's phenomenon and explain how it can reduced.
10 M

Write a short note (20)
7 (a) FDNR and its properties
5 M
7 (b) Switched capacitor filter
5 M
7 (c) Higher-order filter
5 M
7 (d) Matched z-Transform
5 M



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