STUPIDSID
1(a)
Explain multirate signal processing with applications.
5 M
1(b)
If h(n) = {1, 2, 3, 4} is impulse response of FIR Filter, Realize the filter in direct form.
5 M
1(c)
State and prove Parseval's Theorem.
5 M
1(d)
State advantages and disadvantages of digital filters.
10 M
2(a)(i)
x(n) = {1, 2, 3, 4} find DFT of x(n)
5 M
2(a)(ii)
Using results obtained in part (i) and otherwise find DFT of following sequences
a(n = {4, 1, 2, 3} b(n) = {2, 3, 4, 1} c(n) = {3, 4, 1, 2} d(n) = {4, 6, 4, 6}
a(n = {4, 1, 2, 3} b(n) = {2, 3, 4, 1} c(n) = {3, 4, 1, 2} d(n) = {4, 6, 4, 6}
10 M
2(b)
A digital filter is describe by the following differential equation y(n) = 0.9 y(n-1) + bx(n)
(i) Determine b such that |H (0)|=1
(ii) Determine the frequency at which |H(W)|=\( \dfrac{1}{\sqrt{2}} \)
(iii) Indentify the filter type based on the passband.
(i) Determine b such that |H (0)|=1
(ii) Determine the frequency at which |H(W)|=\( \dfrac{1}{\sqrt{2}} \)
(iii) Indentify the filter type based on the passband.
10 M
3(a)
If x(n) = {1, 2, 3, 4, 5, 6, 7, 8}, Find X(K) using DITFFT. Compare computational complexity of above algorithm with DFT.
10 M
3(b)
Show the mapping from S plane to Z plane using Impulse Invariant Method and explain its limitation. Using this method, determine H(Z) if \[H(s)=\dfrac{3}{(s+2)(s+3)}\ \text {if} \ T=0.1\ \text{sec}\]
10 M
4(a)
Design a Linear phase FIR Low Pass filter of Length 7 and cut off frequency 1 rad/sec using rectangular window.
10 M
4(b)
If x(n) = {1, 2, 3, 2} and h(n) = {1, 0, 2, 0}
(i) Find circular convolution using time domain method.
(ii) Find linear concolution using circulat convolution,
(i) Find circular convolution using time domain method.
(ii) Find linear concolution using circulat convolution,
10 M
5(a)
Design a digital Butterworth filter for following specifications using Bilinear transformation technique
Attenuation in Pass band = 1.93dB,
Pass band Edge frequency = 0.2π,
Attenuation in Stop band = 13.97dB,
Stop band Edge frequency = 0.6π,
Attenuation in Pass band = 1.93dB,
Pass band Edge frequency = 0.2π,
Attenuation in Stop band = 13.97dB,
Stop band Edge frequency = 0.6π,
10 M
5(b)
With a suitable block diagram describe sub-band coding of speech signals.
10 M
Attempt the following
6(a)
Short note on dval tone multifrequency detection using Geortzel's algorithm.
8 M
6(b)
Compare FIR and IIR filters.
6 M
6(c)
Finite word length effect in digital filters.
6 M
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