Definitions of signals and a system, classification of signals, basic operations on signals, elementary signals viewed as interconnections of operations, properties of systems.
Convolution, impulse response,properties, solution of differential and difference equations, block diagram representation.
Introduction, Fourier representation of continuous-time periodic signals (FS), properties of continuous-time Fourier series (excluding derivation of defining equations for CTFS), Fourier representation of discrete-time periodic signals, properties of discrete-time Fourier series (DTFS).
Representation of a periodic signals:continuous-time Fourier transform (FT), Properties of continuous-time Fourier transform. Application;frequency response of LTI systems, Solutions of differential equations.
Representations of periodic signals: The discrete-time Fourier transform (DTFT), Properties of DTFT. Application; frequency response of LTI systems,Solutions of differential equations.
Introduction, Z-transform, properties of ROC, properties of Z-transforms, inversion of Z-transform methods - power series and partial expansion, Transforms analysis of LTI systems, transfer function, stability and causality, unilateral Z-transform and its application to solve difference equations.