Discrete Time Signal Processing

Introduction and Review: Basic concepts of Digital Signal Processing, Basic digital signal processing examples in block diagram, Overview of typical Digital Signal Processing in real-world applications.

Sampling and Reconstruction of Signals: Sampling band-pass signals, Analog-to-digital and digital- to analog conversions.

Multirate Digital Signal Processing:

Introduction, Decimation by a factor D, Interpolation by a factor I, Sampling rate conversion by a rational factor I/D, Filter design and implementation for sampling rate conversion, Multistage implementation of sampling rate conversion, Sampling rate conversion of band-pass signals, Sampling rate conversion by an arbitrary factor, Applications of multirate signal processing.

Multirate Filter Banks:

Maximally decimated filter banks: Errors created in the QMF bank, alias-free QMF system, power symmetric QMF banks, M-channel filter banks, poly-phase representation, perfect reconstruction systems, alias-free filter banks, tree structured filter banks, trans-multiplexers. Para-unitary Perfect Reconstruction Filter Banks: Lossless transfer matrices, filter bank properties induced by paraunitariness, two channel Para-unitary lattices, M-channel FIR Para-unitary QMF banks, transform coding. Linear Phase Perfect Reconstruction QMF Banks: Necessary conditions, lattice structures for linear phase FIR PR QMF banks, formal synthesis of linear phase FIR PR QMF lattice.

6 Discrete Fourier Transform & Computation Discrete Fourier Transform properties, magnitude and phase representation Computation of DFT using FFT algorithm - DIT &DIF using radix 2 FFT - Butterfly structure.

Digital Signal Processors Introduction - Architecture - Features - Addressing Formats - Functional modes Introduction to Commercial DS Processors.