STUPIDSID
Answer the following (Any four)
1(a)
\( H(z)=\dfrac{5z^2-12z}{z^2-6z+8} \) show that h(n) = 2n+4n+1 and find first 5 vaccies.
5 M
1(b)
What are the advantage of DSP & define sampling theorem.
5 M
1(c)
Determine IDFT of c(k) = {3, 2+j, 1, 2-j} by using DIF Fft algorithm.
5 M
1(d)
Convert the along filter with system function \( H(s)=\dfrac{s+0.1}{(s+0.1)^2+16} \) into a digital IIR filter using Bilinear transformation. The resanant frequency of ωr = π/2.
10 M
1(e)
Write a short note on Decimation by a integar factor.
10 M
2(a)
If x(n) = {2, 3, 4, 5} find (i) DFT of x(k) (ii) using result obtained in one not otherwise find the DFT of following sequences.
x1(n) = {5, 3, 4, 5}, x2(n) = {3, 4, 5, 2} [ 4, 5, 2, 3 ] x3 = [ 2, 5, 4, 3 ]
x1(n) = {5, 3, 4, 5}, x2(n) = {3, 4, 5, 2} [ 4, 5, 2, 3 ] x3 = [ 2, 5, 4, 3 ]
10 M
2(b)
Perform Linear concolution using DIT FFT algorithm.
x(n) = {1, 2, 3} h(n) = [1, 2]
x(n) = {1, 2, 3} h(n) = [1, 2]
10 M
3(a)
Determine the output of a Lirear FIR & whose impuse response
h(n) = {2, 2, 1}
x(n) = {3, 0, -2, 0, 2, 1, 0, -2, -1, 0} using over lap save method.
h(n) = {2, 2, 1}
x(n) = {3, 0, -2, 0, 2, 1, 0, -2, -1, 0} using over lap save method.
10 M
3(b)
Derive & draw the FFT for n=6=2×3 using DIT FFT algorithm.
10 M
4(a)
Determine the frequency response plot magnitude & phase response for the frequency ω = 0, π/4, π/2, 3π/4, & π.
y(n) = x(n) + 0.9 x(n-2) - 0.4 y (n-2)
y(n) = x(n) + 0.9 x(n-2) - 0.4 y (n-2)
10 M
4(b)
Realize the system by using, direct form - I cascade & parallel Realization.
y(n) = -0.1y(n-1) + 0.2y(n-2) + 3x(n) + 3.6 × (n-1) + 0.6 × (n-2)
y(n) = -0.1y(n-1) + 0.2y(n-2) + 3x(n) + 3.6 × (n-1) + 0.6 × (n-2)
10 M
5(a)
Design IIR butter worth filter to satisfy following condition.
0.8 < | H (eiω) | ≤ 1 for 0 ≤ ω ≤ 0.2
| H (eiω) | ≤ 0.2 for 0.6π ≤ ω ≤ π
using Bilirear transformation method Assume T = 1 sec.
0.8 < | H (eiω) | ≤ 1 for 0 ≤ ω ≤ 0.2
| H (eiω) | ≤ 0.2 for 0.6π ≤ ω ≤ π
using Bilirear transformation method Assume T = 1 sec.
10 M
5(b)
A Linear phase FIR filter has derived
Ha(eiω) = 0 for -π/4 ≤ ω ≤ π/4
= e-j2ω for π/4 |≤| W| < π
Design the filter using Hanning window Assume m=5 and also draw linear phase Realization.
Ha(eiω) = 0 for -π/4 ≤ ω ≤ π/4
= e-j2ω for π/4 |≤| W| < π
Design the filter using Hanning window Assume m=5 and also draw linear phase Realization.
10 M
6(a)
Explain the Architecture of Tex as -320 Dsp processor.
10 M
6(b)
Write a short note on Interpalation.
5 M
6(c)
Difference between IIR & FIR filter.
5 M
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