Mathematical Methods and Techniques in Signal Processing 

offered by IISc Bangalore

Review of vector spaces, inner product spaces, orthogonal projections, state variable representation

Review of probability and random processes

Signal geometry and applications

Sampling theorems multirate signal processing decimation and expansion (time and frequency domain effects)

Sampling rate conversion and efficient architectures, design of high decimation and interpolation filters, Multistage designs

Introduction to 2 channel QMF filter bank, M-channel filter banks, overcoming aliasing, amplitude and phase distortions

Subband coding and Filter Designs: Applications to Signal Compression

Introduction to multiresolution analysis and wavelets, wavelet properties