UNIT 1:
Discrete and continuous random variables
Conditional probability and Baye‘s theorem
Probability and Axioms of probability
Moments and Moment generating functions
Poisson and Geometric distribution
UNIT 2:
Introduction and Application of Two Dimensional Random Variables
Joint distributions Discrete Random variables
Joint distributions Continuous Random variables
UNIT 3:
Classification of Random Process.
Stationary Process - SSS Process
Stationary Process -WSS Process
Problems on Poisson process
UNIT 4:
Introduction and application of correlation and spectral densities
Auto correlation functions - Properties
Problems on Auto correlation functions
Cross correlation – Properties and Problems
Power Spectral Density - Properties
Problems Power Spectral Density
Cross Spectral Density - Properties
Problems Cross Spectral Density
Wiener Khintchine Relation
UNIT 5:
Introduction and Application of linear systems with random inputs
Linear, time invariant system and Casual system
Problems on Linear, time invariant system and casual system
Problems on System transfer function
Linear system with random inputs
Problems on Linear system with random inputs
Auto correlation functions of input and output system
Cross correlation functions of input and output system