**CHHATTISGARH SWAMI VIVEKANAND TECHNICAL UNIVERSITY BHILAI (C.G.)**

**Semester :B.E. 3 Sem. Branch: Electronics & Telecommunication**

**Subject:Network Analysis & Synthesis**

Unit – I

Laplace Transformation & its Application in Circuit Analysis: Introduction, Laplace

Transformation, Laplace Transform of a Derivative df(t) /dt, Laplace Transform of an Integral, Laplace

Transform of Common Forcing Function, Initial And Final Value Theorem, Convolution, Application of

Laplace Transformation technique in Electric Circuit Analysis, Partial Fraction Expansion Method, Step

Response of RL, RC Circuits, Impulse Response of Series RC, RL Network, Response of RL Circuit with

Pulse Input, Pulse Response of Series RC Circuit, Step Response of RLC Series Circuit.

Unit – II

Two Port Network Analysis:

Introduction, z parameters, y- parameters, hybrid parameter, ABCD

parameters, condition of reciprocity and symmetry in two port parameter presentation. Interrelationship

between parameters of two port networks. Expression of input and output impedance in terms of two port

parameter, ladder network, equivalent T and

p

section representation in parametric form.

Unit – III

Properties of Network function:

Introduction, Driving Point Impedance and Admittance Transfer

function, Voltage And Current Transfer Ratio. Thevenin’s and Norton Theorem, Milliman Theorem,

Reciprocity Theorem, Maximum Power Transfer Theorem, Supeposition Theorem, Substitution Theorem.

Unit – IV

Network Graph Theory:

Introduction, Concept of Network Graph, Terminology Used in Network Graph,

Properties of Tree in a Graph, Formation of Incidence Matrix, Properties of Incidence Matrix, Number of

Tree in a Graph, Cut Set Matrix, Tieset Matrix, Fundamental Tieset Matrix, Fundamental Cutset Matrix.

Unit –V

Synthesis of Passive Networks:

Concept of Stability of a System from Pole Zero Concept, Necessary

condition of Stability of a Network Function, Hurwitz Polynomial, Properties of Hurwitz Polynomials,

Positive Real Function, Concept of Network Synthesis, Reactive Network, Driving Point Immitance of LC

Network, LC Network Synthesis, Foster and Caurr form, RC and RL Network Synthesis By Foster and

Caurr form.

Name of Text Books:

1. Network Analysis by M.E. Van Valkenbarg, PHI/Pearson Education

2. Circuit Theory Analysis & Synthesis by A Chakraborty (Dhanpat Rai & Co. Pvt. Ltd, New Delhi)

Name of Reference Books:

1. Network Theory: Analysis & Synthesis – Smarjit Ghosh, PHI

2. Network Synthesis – T. Lapatra, TMH.

3. Circuits