Basic elements of digital signal processing comparison of analog and digital
signal processing multi-channel and multi-dimensional signals random and deterministic
signals FIR and IIR systems recursive and non-recursive systems correlation of discrete
time signals.
02
Discrete Fourier Transform and Fast Fourier Transform:
10 Lectures
Frequency domain sampling
and reconstruction of discrete time signals DFT DFT as linear transformation frequency
analysis of signals using DFT properties of DFT circular convolution linear filtering
methods based on DFT overlap save and overlap add method FFT algorithms
decimation in time and decimation in frequency algorithms applications of FFT algorithms
linear filtering approach to computation of the DFT Goertzel algorithm.
03
Implementation of Discrete Time Systems:
8 Lectures
Structures for the realization of LTI systems
recursive and non-recursive realization of FIR systems structures for FIR systems direct
form cascade form frequency sampling and lattice structures structures for IIR systems
direct form signal flow graphs and transposed structure cascade parallel form and lattice
structures.
04
Design of FIR Digital Filters:
8 Lectures
Introduction LTI systems as frequency selective filters
Paley-Wiener theorem characteristics of frequency selective filters design of linear phase
FIR filters design of digital filters by placement of poles and zeros in z-plane digital
resonators Notch filters Comb filters and all pass filters design of linear phase FIR filters
using windows and by frequency sampling method.
05
Design of IIR Digital Filters:
6 Lectures
Introduction design of IIR filters from their analog
counterparts design using approximation of derivatives impulse invariance bilinear
transformation and matched z-transformation frequency transformations in analog and
digital domains design of digital filters based on least squares method design of IIR filters
in frequency domain.