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PROBABILITY AND RANDOM PROCESSES Lecture Notes Download

PROBABILITY AND RANDOM PROCESSES  Important 16 marks question with answers

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MA8451 PROBABILITY AND RANDOM PROCESSES Lecture Notes Download MA8451 PROBABILITY AND RANDOM PROCESSES Lecture Notes Download
Department  Electronics Communication Engineering
Year 2nd Year
Semester 4th Semester
University Anna University
Regulation  R2017
Subject Code MA8451
Subject Name PROBABILITY AND RANDOM PROCESSES
Download File MA8451 PROBABILITY AND RANDOM PROCESSES Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank

 

 

MA8451 PROBABILITY AND RANDOM PROCESSES Syllabus

UNIT I PROBABILITY AND RANDOM VARIABLES
Probability – Axioms of probability – Conditional probability – Baye‘s theorem – Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions.

UNIT II TWO – DIMENSIONAL RANDOM VARIABLES
Joint distributions – Marginal and conditional distributions – Covariance – Correlation and linear regression – Transformation of random variables – Central limit theorem (for independent and identically distributed random variables).

UNIT III RANDOM PROCESSES
Classification – Stationary process – Markov process – Markov chain – Poisson process – Random telegraph process.

UNIT IV CORRELATION AND SPECTRAL DENSITIES
Auto correlation functions – Cross correlation functions – Properties – Power spectral density – Cross spectral density – Properties.

UNIT V LINEAR SYSTEMS WITH RANDOM INPUTS
Linear time invariant system – System transfer function – Linear systems with random inputs – Auto correlation and cross correlation functions of input and output.

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