Digital Signal Processing

Unit-1.0: Discrete and Fast Fourier Transform

The discrete Fourier transform (DFT) • Sampling of the discrete time Fourier transform • Properties of the DFT • Linear convolution using the DFT • Fourier analysis of the signals using the DFT • Direct computation of the DFT • Decimation-in-time FFT algorithms • Decimation-in-frequency FFT algorithm

Unit-2.0: Design of FIR filters

Design of FIR filters: FIR filters with linear phase • Design of FIR filters by windowing and frequency sampling • Design of some special FIR filters • Real Time Implementation of FIR filters

Unit-3.0: Design of IIR filters

Design of IIR filters: Introduction to IIR filter design • Design of continuous time low pass filters • Butterworth • Chebyshev and Elliptic Approximations • Transformation of continuous time filters to discrete time filters • Design examples for low pass IIR filters • Frequency transformations of low pass filters

Unit-4.0: Realisation of Digital filters

Realizations of Digital Filters-FIR filter structures: direct form • Cascade form • Linear-phase form • FIR Lattice structure • IIR filter structures: direct form-I • Direct form-II • Cascade form • Parallel form • All pole lattice structure • Lattice-ladder (pole-zero) lattice structure

Unit-5.0: Multirate signal processing

Multirate signal processing: sampling rate conversion • Implementation of Multirate systems • Filter design for Multirate systems • Design of FIR Digital filters: Window method • Park-McClellan's method • Design of IIR Digital Filters: Low-pass • Band-pass • Band-stop and High pass filters • Effect of finite register length in FIR filter design • Parametric and non-parametric spectral estimation • Introduction to multi-rate signal processing