STUPIDSID
1(a)
Explain phase delay and group delay
5 M
1(b)
What are the advantages of digital filter over analog filter?
5 M
1(c)
State and prove frequency shifting property of DFT
5 M
1(d)
Compare FIR filter and IIR filter.
5 M
2(a)(i)
x(n)={1,
2,
3,
4} find DFT X (k)
2,
3,
4} find DFT X (k)
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}
5 M
2(b)
digital filter is described by the following differential equation
y(n)-0.9y(n-1)+bx(n)
i) Determine b such that | H (0) |=1
ii) Determine the frequency at which \[|H(w)|=\frac{1}{\sqrt{2}}\]
iii) Identify the filter type based on the passband.
y(n)-0.9y(n-1)+bx(n)
i) Determine b such that | H (0) |=1
ii) Determine the frequency at which \[|H(w)|=\frac{1}{\sqrt{2}}\]
iii) Identify the filter type based on the passband.
10 M
3(a)
If X(n)={1
0
2
0
3
0
4
0}, Find X(K) using DIFFFT. Comapare computational complexity of above algorithm with DFT.
0
2
0
3
0
4
0}, Find X(K) using DIFFFT. Comapare computational complexity of above algorithm with DFT.
10 M
3(b)
Explain effect of aliasing in Impulse Invariant Technique Using this method, determine H (Z) if \[H(s)=\frac{3}{\left ( s+2 \right )\left ( s+3 \right )}\] if T =0.1 sec
10 M
4(a)
Design a Linear Phase FIR Low Pass filter of Length 7 and cut off frequency 1 rad/ sec using Hamming window.
10 M
4(b)
if x(n)={1,
2,
3,
2} and h(n)={5,
6
7
8}
a) Find circular convolution using time domain method.
b) Find circular convolution using DFT/ IDFT method.
c) Find linear convolution using circular convolution.
2,
3,
2} and h(n)={5,
6
7
8}
a) Find circular convolution using time domain method.
b) Find circular convolution using DFT/ IDFT method.
c) Find linear convolution using circular convolution.
10 M
5(a)
Design a digital Butterworth filter for following specification 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
6(a)
Determine FIR latticee coefficient of system with a transfer function \[H(Z)=1+\frac{13}{24}Z^{-1}+\frac{5}{8}Z^{-2}+\frac{1}{3}Z^{-3}\]
10 M
6(b)
Write a note on Frequency Sampling realization of FIR Filter
10 M
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