Probability Foundations for Electrical engineers

By Prof. Andrew Thangaraj, Prof. Aravind R | IIT Madras, IIT Madras

Learners enrolled: 1225

This course will introduce the basic foundational aspects of probability theory primarily to an electrical engineering audience. In communications, signal processing and networking applications, probability theory and models play a vital role in design and implementation. This course will prepare a student to take courses such as Digital/Wireless Communications, Adaptive Signal Processing and Communication Networks.

INTENDED AUDIENCE : Any interested Learners

PRE-REQUISITES : Basic calculus

INDUSTRY SUPPORT : This course is not directly relevant to industries. It is a fundamental course in probability.

Summary

Course Status :	Completed
Course Type :	Elective
Duration :	12 weeks
Category :	Electrical, Electronics and Communications Engineering Communication and Signal Processing
Credit Points :	3
Level :	Undergraduate/Postgraduate
Start Date :	18 Jan 2021
End Date :	09 Apr 2021
Enrollment Ends :	01 Feb 2021
Exam Date :	25 Apr 2021 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Probability space

Week 2: Conditional probability

Week 3: Independence

Week 4: Discrete random variables
Week 5:Conditional and joint distributions

Week 6: Independent random variables, functions of two random variables

Week 7: Continuous random variables

Week 8: Jointly distributed random variables

Week 9: Transformations of random variables, Expectations
Week 10: Expectation, Variance and Correlation
Week 11: Conditional Expectation
Week 12: Law of large numbers

Books and references

1. Introduction to Probability by Dimitri P. Bertsekas and John N. Tsitsiklis

2. Probability, Random Variables and Stochastic Processes by Athanasios Papoulis, S. Unnikrishna Pillai

Instructor bio

Prof. Andrew Thangaraj

IIT Madras

Andrew Thangaraj received his B.Tech in Electrical Engineering from the Indian Institute of Technology (IIT), Madras, India in 1998 and a PhD in Electrical Engineering from the Georgia Institute of Technology, Atlanta, USA in 2003. He was a post-doctoral researcher at the GTL-CNRS Telecom lab at Georgia Tech Lorraine, Metz, France from August 2003 to May 2004. From June 2004, he has been with the Department of Electrical Engineering, IIT Madras, where he is currently a professor. Since Jan 2012, he has been serving as Editor for the IEEE Transactions on Communications. Since Oct 2011, he has been serving as NPTEL coordinator at IIT Madras. He has played a key role in initiating and running NPTEL online courses and certification. He is currently a National MOOCs Coordinator for NPTEL in the SWAYAM project of the MHRD.

Prof. Aravind R

IIT Madras

R Aravind is a faculty member in the Department of Electrical Engineering at the Indian Institute of Technology Madras. Aravind has a PhD in electrical engineering from the University of California, Santa Barbara. His research interests include image and video processing and compression.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 25 April 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team