# BEE404 NETWORKS AND LINEAR SYSTEMS

OBJECTIVE: On completion of this course , the students will be able to analyse circuits and systems with non-periodic inputs using Laplace and Fourier transforms.

## 1. ANALYSIS USING LAPLACE TRANSFORMS

Classification of signals - representation in terms of elementary signals - impulse functions - Time response of circuits to non-sinusoidal periodic inputs - Concept of complex frequency - poles and zeros - frequency response from pole-zero configuration.

## 2. ANALYSIS USING FOURIER SERIES & TRANSFORMS

Fourier series representation of periodic inputs - trigonometric and complex forms - Fourier integral and Fourier transforms - Harmonic analysis of simple circuits with non-sinusoidal periodic inputs and aperiodic inputs.

## 3. TWO PORT NETWORKS

Driving point impedance and admittance of one port network - open circuit impedance - short circuit admittance of two port networks - transfer impedance and admittance - voltage and current ratio transfer functions - ABCD parameters - image impedance - impedance matching - equivalent networks.

## 4. LINEAR SYSTEMS

Differential equations of translational and rotational systems – Transfer function - block diagram representation - block diagram algebra - signal flow graph - Mason's gain formula - concepts of variable state and state variables - state models using physical and phase variables - solution of state equations

## 5. Z TRANSFORMS AND APPLICATIONS TO LINEAR SYSTEMS

Differential equations of linear discrete systems - pulse transfer function - response of linear discrete systems by Z transform method - z and s domain relationship.