Mission IIT/IISC part 2(Interview part 4 at IISC,EC)

After ED, there was EC (Electrical Communication), MSc (Engg) interview.

This department had excellent and world recognised qualified faculties.I was seriously intersted in this program.EC department sent you interview offer letter consisting of technical topics. You have to underline your preferred topics.

Ec department asked me to come with preparation of atleast mathematics 2 topics from 5 (these topics are different than technical topics)which were as follows:

1) Discrete Mathematics

2) Probability and Randon processes

3) Transform theory

4) Linear algebra

5) Differential equation (am not sure)

I had chosen probability and linear algebra.Refer standard books to prepare for interview.

I referred Popoulis for probability and Gilbert Strange for linear algebra.Both are enough for preparation.

I will directly write only the questions.Interview panel consists of 3 people. Interview was scheduled at 2pm, but began at 4 pm.

They began with informal questioning. For example what is the meaning of "Kalamkar" which is my surname.My CGPA, rank in class,etc. So they started with linear algebra.

1) What is linear independence of vectore?

2) What is orthogonality?

3) If 2 vectors are orthogoal,prove that they are also linear independent.

2) Rank of the matrix

5) Permutation matrix (Indirecty they asked on it)

6) Inverse of permutation matrix

7) Example of matrix with zero rank

8) Guass elimiation

Then they turned towards probability.

1) Suppose there are 2 possible oucomes of a random variable. Probability of one outcome is p, what is

the probability os 2nd outcome.

2) Indirect derivation of Binomial distribution.

3) Some questions on mean,variance of Binomial distribution.

4) Autocorrelation

Then they came to my technical interest "Information and coding theory".

1) Entropy

2) Mutual entropy

3) Mutual entropy for independent random variables

4) Prove that mutual entropy is greater or equal to 0.

5) Channel Capacity theorem.

6) Shannon's first channel coding theorem

Interview lasted for about 30 minutes.They first test your maths thoroughly.If they find your maths is very very good,then they turn towards

technical questions. I cleared maths test.Also i answered technical question well.Still i could not make for EC.So remember questions in this interview was simple,basic but highly tricky than other interviews.They believe strongly in maths. So well prepare any 2 topics very very good for the interview.

If you want to research in communication or signal processing,MSc at EC,IISC is the best place in India.