Syllabus

Introduction- Overview of Sampling and Reconstruction. Oversampling techniques. Fundamentals of Multi-Rate Systems-Basic building blocks–Up sampling, down sampling, aliasing. Sampling rate change and filtering, fractional sampling rate change. Inter connection of multirate DSP blocks, Polyphase decomposition, Noble Identities, efficient implementation of sampling rate conversion. Applications of Multirate DSP in DFT-based Filter banks, Interpolated FIR filter design, Cascaded-Integrator-Comb (CIC) filters, and Trans multiplexers Two channel maximally decimated filter bank, Signal impairments - Aliasing, Magnitude distortion, Phase distortion, Aliasing cancellation. All-pass filters, properties, application in two channel Quadrature mirror filter banks, Perfect reconstruction two-channel FIR filter banks, M-channel QMF banks, Half-band filters, Power complementary filter pairs, M-channel perfect reconstruction filter banks. Application of multi rate DSP in Oversampling A/D and D/A converters, Introduction to wavelets, Discrete-wavelet transform and selected topics.