## Mathematical Methods and Techniques in Signal Processing

**Mathematical Methods and Techniques in Signal Processing**. Instructor: Prof. Shayan Srinivasa Garani, Department of Electronic Systems Engineering, IISc Bangalore. This course provides an introduction to the foundations of signal processing, focusing on the mathematical aspects for signal processing.

Review of basic signals, systems and signal space: Review of 1-D signals and systems, review of random signals, multidimensional signals, review of vector spaces, inner product spaces, orthogonal projections and related concepts.

Sampling theorems (a peek into Shannon and compressive sampling), 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 including convergence issues.

Wavelets: Characterization of wavelets, wavelet transform, multi-resolution analysis.
(from **nptel.ac.in**)

Introduction to Signal Processing |

References |

Mathematical Methods and Techniques in Signal ProcessingInstructor: Prof. Shayan Srinivasa Garani, Department of Electronic Systems Engineering, IISc Bangalore. This course provides an introduction to the foundations of signal processing, focusing on the mathematical aspects for signal processing. |