**Instructor: **

**Shayan G. Srinivasa,**

[Monday, Wednesday 3:30 pm – 5:00 pm, Video Studio (NPTEL, Room no. 203)]

**Pre-requisities:**

Digital signal processing at the undergrad level.

**Course Syllabus:**

- Review of basic signals, systems and signal space: Review of 1-D signals and systems, review of random signals, multi-dimensional signals, review of vector spaces, inner product spaces, orthogonal projections and related concepts.
- Basics of multi-rate signal processing: sampling, decimation and interpolation, sampling rate conversion (integer and rational sampling rates), oversampled processing (A/D and D/A conversion), and introduction to filter banks.
- Signal representation: Transform theory and methods (FT and variations, KLT), other transform methods.
- Wavelets: Characterization of wavelets, wavelet transform, multi-resolution analysis.
- Statistical signal modeling: The least squares method, Pade’s approximation, Prony’s method, Shanks’ method, iterative pre-filtering, all-pole modeling and linear prediction, autocorrelation and covariance methods, FIR least squares inverse filter design, applications and examples.
- Inverse problems (signal reconstruction): underdetermined least squares, pseudo-inverse (SVD), min-norm solutions, regularized methods, reconstruction from projections, iterative methods such as projection onto convex sets, expectation-maximization and simulated annealing.

**Reference Books:**

- Moon & Stirling, Mathematical Methods and Algorithms for Signal Processing, Prentice Hall, 2000. (required)
- Monson Hayes, Statistical Digital Signal Processing and Modeling, John Wiley and Sons, 1996. (optional)
- Class notes

**Grading Policy:
**

- Homeworks : 25%
- Mid Term Exams : 25%
- Project : 25%
- Final Exam : 25%

**Homeworks:**

- Homework #0 Solutions

- Homework #1 Solutions
- Homework #2 Solutions
- Homework #3 Solutions
- Homework #4 Solutions
- Homework #5 Solutions
- Homework #6 Solutions
- Homework #7 Solutions
- Homework #8 acoustic guitar music.wav Imagination_shounak_wav.wav
- Homework #9

**Exams:**

**Lecture Notes:**

**Announcements:**

Exam #2 is on 2nd November 2017 from 6 pm to 9 pm.

Final Exam is on 11th December from 2 pm to 5 pm