Syllabus
Unit 1
Basic signals: unit step, unit impulse, sinusoidal and complex exponential signals – Types of signals- Basic operations on signals-system properties-Time Domain characterization of continuous time and discrete time LTI system-Convolution Integral-Convolution sum-Analysis of LTI system described by differential and difference equations.
Unit 2
Discrete Fourier transforms: Fourier Transform, Fourier analysis of discrete time signals and systems: Discrete time Fourier series – Discrete Time Fourier Transform – properties of DTFT – Introduction to DFT- properties of DFT – linear filtering methods based on DFT – FFT algorithms.
Unit 3
Digital filters: Introduction, specifications of practical filters, Characteristics of commonly used analog filters – IIR filters: design by approximation of derivatives – impulse invariance and bilinear transformation – Butterworth filter- frequency transformations for analog and digital filters, Structures for IIR systems. FIR filters: symmetric and anti-symmetric FIR filters – design of linear phase FIR filter using windows –Structures for FIR systems – direct form structures, Linear phase and cascade form structures.