STUPIDSID
Answer any one question from Q1 and Q2
1 (a)
A discrete time signal is given below. Check for following system properties:
i) Static/Dynamic
ii) Linearity
iii) Causality
iv) Stability
y(n)=8 cos x(n)
i) Static/Dynamic
ii) Linearity
iii) Causality
iv) Stability
y(n)=8 cos x(n)
6 M
1 (b)
Sate and prove the convolution Integral property. With suitable block diagram & mathematical equation.
3 M
1 (c)
Find Y(n) discrete time signal convolution Integral.
x(n)= (u(n) -u (n-4)) and h(n)= {1,1,1,1}
x(n)= (u(n) -u (n-4)) and h(n)= {1,1,1,1}
3 M
2 (a)
Find given signal is whether energy signal or power signal. Find its value x(t)=rect (t); for t=-1 to t+1
3 M
2 (b)
Find the convolution of flowing signal plot Y(t).
6 M
2 (c)
Find Even and Odd Component for given signal.
x(t)=1+3t+4 sin (t) + 6 cos (3t)
x(t)=1+3t+4 sin (t) + 6 cos (3t)
3 M
Answer any one question from Q3 and Q4
3 (a)
State and Prove the following property of Laplace Transform.
i) Periodic Signal Property
ii) Time Scaling Property
i) Periodic Signal Property
ii) Time Scaling Property
6 M
3 (b)
Find the Quadrature Fourier series for the full wave rectifier output signal. With amplitude 'A' and periodic 0 to π.
6 M
4 (a)
Find the Initial Value and Final Value of the signal x(t) its Laplace Transform \[ X(S) = \dfrac {2S+3} {S^2 +5S -7} \]
6 M
4 (b)
Show that Rectangular function in time domain to become Sinc function in Frequency Domain.
6 M
Answer any one question from Q5 and Q6
5 (a)
Determine the Auto Correlation Function Energy Spectral density of x(t)=cos πt [u(t+2)] -u [t-2] and sketch the auto-correlation.
10 M
5 (b)
State the properties of Energy Spectral Density, Power Spectral Density, Autocorrelation and Cross Correlation.
8 M
5 (c)
Explain the properties of Probability, CDF and PDF.
8 M
6 (a)
The probability density function of a random Variable 'x' is defined as \[ \] Find
i) Constant ii) P(1
i) Constant ii) P(1
10 M
6 (b)
Draw and explain the following probability distribution model.
i) Gaussian distribution Model.
ii) Uniform Distribution Function.
i) Gaussian distribution Model.
ii) Uniform Distribution Function.
8 M
6 (c)
Find Cross-Correlation of following discrete time signal.
x(n)={1,2,3,4} and y(n)={3,2,1,0}
x(n)={1,2,3,4} and y(n)={3,2,1,0}
8 M
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