(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). --- Content provided by FirstRanker.com --- (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) --- Content provided by FirstRanker.com --- 
-  (b) Define Bandwidth. Explain different types of Bandwidth. 
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