## Communications, Signal Processing and Learning Group

#### Research Areas

The candidates are encouraged to go through the individual faculty profiles to know more about the current research areas of the CSPL group.

#### PhD Admissions

- August admissions: online application typically open during mid-March to mid-April
- January admissions: online application typically open during November

### Admission Process

#### Exam and Interview:

- Linear algebra/matrix theory
- Probability theory, random variables and random processes
- Convex and non-convex optimization
- Real and complex analysis
- Exam & interview to test how well you can solve problems mathematically
- We expect clear understanding of fundamentals (NOT formula-based approach)
- We look for ability to improvise and willingness to learn

Engineering uses mathematical tools to solve real-world problems. Many problems in Communications, Signal Processing and Learning primarily rely on

#### Focus of Test

- Linear algebra
- Probability theory & random variables
- Mathematical aptitude

#### Interview has a broader scope

- Linear algebra, probability, math aptitude, programming aptitude
- Communications, Signal Processing
- Your area of interests and previous projects

Linear Algebra |
---|

Vector spaces, linear independence, basis, dimension |

Inner product and norm |

Matrix algebra, rank, eigenvectors, determinant |

Solving systems of linear equations |

Special matrices (diagonal, triangular, orthogonal, symmetric etc.) |

Probability & Random Variables |
---|

Probability density and distributions |

Combinatorial probability |

Binomial, exponential, normal, Poisson, exponential random variables |

Jointly distributed random variables |

Mean, variance, mode etc. |

Independence, Conditional probability, Bayes theorem |

#### References

- David Lay, “Linear Algebra and its Applications”, Pearson.
- Gilbert Strang, “Linear Algebra and its Applications”, Cengage.
- Erwin Kreyszig, “Advanced Engineering Mathematics”, John Wiley & Sons.
- Athanasios Papoulis and S. Unnikrishna Pillai, “Probability, Random Variables and Stochastic Processes”, McGraw Hill.
- Sheldon Ross, “A First Course in Probability”, Pearson.