Home Syllabus 4th Semester Anna University Syllabus for MA2261 Probability and Random Process 4th Sem ECE

Anna University Syllabus for MA2261 Probability and Random Process 4th Sem ECE

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Anna university syllabus for ece 4th semester – ma 2261 probability and random process . Download and share with your friends .

Type : Syllabus
Sem   : 4th Semester
Subject : Probability and Random Process
Branch  : Electronics and Communication Engineering
Degree  : B.E / B.Tech

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Download : Anna Univ 4th Sem Syllabus for ECE

MA2261                  PROBABILITY AND RANDOM PROCESSES                   L  T  P  C

                                (Common to ECE & Bio Medical Engineering)                     3  1  0   4

AIM

This course aims at providing the necessary basic concepts in random processes.  Knowledge of fundamentals and applications of random phenomena will greatly help in the understanding of topics such as signals & systems, pattern recognition, voice and image processing and filtering theory.

OBJECTIVES

  • · At the end of the course, the students would
  • · Have a fundamental knowledge of the basic probability concepts.
  • · Have a well-founded knowledge of standard distributions which can describe real life phenomena.
  • · Acquire skills in handling situations involving more than one random variable and functions of random variables.
  • Understand and characterize phenomena which evolve with respect to time in probabilistic manner.
  • · Be able to analyze the response of random inputs to linear time invariant    

systems. 

UNIT I        RANDOM VARIABLES                                                                         9 + 3

Discrete and continuous random variables – Moments – Moment generating functions and their properties. Binomial, Poisson ,Geometric, Uniform, Exponential, Gamma and normal  distributions – Function of Random Variable.

UNIT II      TWO DIMENSIONAL RANDOM VARIBLES                           9 + 3

Joint distributions – Marginal and conditional distributions – Covariance – Correlation and Regression – Transformation of random variables – Central limit theorem (for iid random variables)

UNIT III      CLASSIFICATION OF RANDOM PROCESSES                     9 + 3

Definition and examples – first order, second order, strictly stationary, wide-sense stationary and ergodic processes – Markov process – Binomial, Poisson and Normal processes – Sine wave process – Random telegraph process.

UNIT IV      CORRELATION AND SPECTRAL DENSITIES                      9 + 3

Auto correlation – Cross correlation – Properties – Power spectral density – Crossspectral density – Properties – Wiener-Khintchine relation – Relationship between cross power spectrum and cross correlation function  

UNIT V       LINEAR SYSTEMS WITH RANDOM INPUTS                                    9 + 3 

Linear time invariant system – System transfer function – Linear systems with random inputs – Auto correlation and cross correlation functions of input and output – white noise.

LECTURES : 45        TUTORIAL : 15       TOTAL : 60 PERIODS

TEXT BOOKS

1. Oliver C. Ibe,  “Fundamentals of Applied probability and Random processes”,    Elsevier, First Indian Reprint ( 2007)  (For units 1 and 2)

2. Peebles Jr. P.Z., “Probability Random Variables and Random Signal Principles”, Tata  McGraw-Hill Publishers, Fourth Edition, New Delhi, 2002.(For units 3, 4 and 5). 

REFERENCES

1. Miller,S.L and Childers, S.L, “Probability and Random Processes with applications to Signal Processing and Communications”, Elsevier Inc., First Indian Reprint 2007.

2. H. Stark and J.W. Woods, “Probability and Random Processes with     Applications to Signal Processing”, Pearson Education (Asia), 3rd Edition, 2002.

3. Hwei Hsu, “Schaum’s Outline of Theory and Problems of Probability, Random  Variables and Random Processes”, Tata McGraw-Hill edition, New Delhi, 2004.

4. Leon-Garcia,A, “Probability and Random Processes for Electrical Engineering”, Pearson Education Asia, Second Edition, 2007

5. Yates and D.J. Goodman, “Probability and   Stochastic Processes”, John Wiley and Sons, Second edition, 2005.

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