(OR)
(b) Define the following signals with mathematical equations and plot them.
- Unit Step
- Ramp
- Impulse
- Signum
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UNIT - II
-
(a) Explain the concept of orthogonality. Find the mean square error in representing f(t) by g(t) over the interval (t1, t2).
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(OR)
-
(b) Find the Fourier transform of the following functions:
- f(t) = A Cos(ω0t)
- f(t) = e-atu(t)
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UNIT - III
-
(a) Define and explain about different types of random variables with examples.
(OR)
-
(b) The probability density function of a random variable X is given by
fX(x) = Ke-|x|, -∞ < x < ∞
Determine:
- The value of K
- Probability that X2 > 1
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UNIT - IV
-
(a) Define Random Process and classify it with examples.
(OR)
-
(b) Define Auto Correlation and Cross Correlation functions of a random process and write their properties.
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UNIT - V
-
(a) Derive the relation between input and output power spectral densities of an LTI system.
(OR)
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-
(b) Define Bandwidth. Explain different types of Bandwidth.
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