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Electronics & Communication Engineering
Probability and Random Processes (Web)
Syllabus
Co-ordinated by :
IIT Guwahati
Available from :
2009-12-31
Lec :
1
Modules / Lectures
Introductio to Probability
Introduction to Probability
Basic Concepts of Set Theory
Probability Concepts
Probability Using Counting Method
Conditional probability
Repeated Trials
Problem Set-Basic Concepts of Set Theory
Problem Set-Probability Concepts
Problem Set-Probability Using Counting Method
Exercise-Introductio to Probability
Random Variables
Random Variables
Discrete, Cont.., Mix RV
Conditional Distribution
Functions of Random Variables
Expected Value of a RV
Characteristic functions of RV
Important Discrete RV
Geometric RV
Uniform RV
Exponential RV
Simulation of RV
Jointly Distributed RV
Conditional Distributions
Transformation of Two Random RV
Joint PDF functions of two RV
Expected Values of Functions of RV
Jointly Gaussian RV
Conditional Expectation
Random Variables
Vector space Interpretation of RV
Exercise-Random Variables
Sequence of RV & Convergence
Convergence
Central Limit Theorem
Exercise-Sequence of RV & Convergence
Random Process
Random Processes
Important Classes of RP
Poisson Processes
Stationary Random Process
Real WSS Random Process
Continuity and Differentiation of RP
Time averages and Ergodicity
Wide-sense Stationary RP
Cross Power Spectral Density
White noise process
Linear time-invariant systems
Discrete-time Linear Shift Invariant System
Linear Systems
Bandpass Random Processes
Exercise-Random Process
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