STUPIDSID
1 (a)
h(n)=[1 2 3 4], y(n)=[5 16 28 24] find x(n), using convolution property of z transform.
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1 (b)
Explain the block diagram of DSP.
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1 (c)
Compare between Chebyshev and butter worth filter.
5 M
1 (d)
What are the advantages of FFT versus the DFT interms of calculations? Justify your answer with suitable example.
5 M
1 (e)
Draw the pole-zero plot and Transfer function of following filter
i) Comb filter ii) Notch filter.
i) Comb filter ii) Notch filter.
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2 (a)
Find the DFT of x(n)=[4+5j 3+6j 3+4j 2+2j] other wise find the DFT of
x1(n)=[4 3 3 2]
x2(n)=[5 6 4 2]
x3(n)=[9 9 7 4].
x1(n)=[4 3 3 2]
x2(n)=[5 6 4 2]
x3(n)=[9 9 7 4].
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2 (b)
Differentiate between linear and circular convolution. Find the circular convolution of a sequence using DFT adn IDFT method
x1(n)=[2 3 1 1] x2(n)=[1 3 5 3]
x1(n)=[2 3 1 1] x2(n)=[1 3 5 3]
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3 (a)
Find the 8 point DFT using DIT-FFT algorithm
x(n)=[1 2 3 4 5 6 7 8].
x(n)=[1 2 3 4 5 6 7 8].
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3 (b)
Determine the output of linear FIR filter whose impulse response h(n)=[1, 2, 3] x(n)=[1 1 2 -1 2 -3 -1 1 2 1 -3 -1] using overlap save method.
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4 (a)
The system with differential equation (n)=0.9(n+1)+σ1 x(n) find the magnitude and phase response of the system comment on filter characteristics.
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4 (b)
Obtain DF-II, cascade and parallel realization of system function \[ H(z) = \dfrac {1+2z^{-1}+z^{-2}}{1-0.75z^{-1}+0.1252^{-2}} \]
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5
Design a Butterworth filter satisfy constraint \[ \begin {align*} 0.707 \le; &|H(e^{j\omega})|\le 1 &\text{for }0\le w\le \frac {\pi}{2} \ &H(e^{j\omega}) \le 0.2 & \frac {3\pi}{4} \le |w|\le \pi \end{align*}
\] with T z1 sec Invariance Technique.
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6 (a)
The desired frequency response of LPF is \[ Hd(e^{j\omega}) &=e^{-j3w} &\frac {-3\pi}{4} \le w \le \dfrac {3\pi}{4} \ &=0 &\frac {3\pi}{4} \le |w| \le \pi \ \ \end{align*} \] Determine H(ejw) using Hamming window also find frequency response of it.
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6 (b)
A one stage decimator is characterised by the following:-
Decimatior factor = 3
Antialising filter coefficient
h(0)=-0.06 = h(4)
h(1) = 0.30 = h(3)
h(2) = 0.62
given the datax(n) with a successive [6 -2 -3 8 6 4 -2]. Calculate and list filtered output w(n) and the output of the decimator y(n).
Decimatior factor = 3
Antialising filter coefficient
h(0)=-0.06 = h(4)
h(1) = 0.30 = h(3)
h(2) = 0.62
given the datax(n) with a successive [6 -2 -3 8 6 4 -2]. Calculate and list filtered output w(n) and the output of the decimator y(n).
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