# Engineering Network Analysis and Filter Design Including Synthesis of One Port Networks Reprint

by Gopal G. Bhise, Prem R. Chadha, Durgesh C. KulshreshthaUsually Ships in 3 Days.

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## Book Information

Publisher: | Umesh Publications |

Published In: | 2009 |

ISBN-10: | 8188114057 |

ISBN-13: | 9788188114054 |

Binding Type: | Paperback |

Weight: | 2.99 lbs |

Pages: | xix + 1072 Pages, Figures, Tables, Graphs, Appendices |

The Title "Engineering Network Analysis and Filter Design Including Synthesis of One Port Networks Reprint" is written by Gopal G. Bhise. This book was published in the year 2009. The ISBN number 8188114057|9788188114054 is assigned to the Paperback version of this title. The book displayed here is a Reprint edition. This book has total of pp. xix + 1072 (Pages). The publisher of this title is Umesh Publications. We have about 78 other great books from this publisher. Engineering Network Analysis and Filter Design Including Synthesis of One Port Networks Reprint is currently Available with us.

## Related Books

## About the Book

Provides a comprehensive treatment of the basic principles and techniques involved in Electric Network Analysis. The text is organized in such a way so as to cover a two or three semester course in Network Analysis and Synthesis. The entire text is divided into 17 Chapters and 4 Appendices.

## About the Author

Gopal G. Bhise, Assistant professor at Delhi College of Engineering, Delhi, obtained his Master's degree in Electrical Engineering from Delhi University and Ph.D degree in Electrical Engineering from Indian Institute of Technology, Delhi.

Dr. Bhise has more than 23 years experience in teaching undergraduate and post graduate classes in the areas of Basic Electrical Engineering, Electrical Machines, Power Systems, Network Analysis, Circuits and Systems, Control Systems, Non Linear Control Theory etc. He has also contributed several papers in national and international conference proceedings/journals. His current interest includes Automatic Generation Control and Power System Control.

Prem R. Chadha is currently an Assistant Professor in the Department of Electronics and Communication Engineering, Delhi College of Engineering, Delhi. He has over 23 years of experience in teaching various U.G. and P.O. courses in the area of Electronics and Communication Engineering. He has contributed large number of papers in national and international conferences/journals.

Having engineering education from BITS Pilani and IIT New Delhi with specialization in Electronics and Communication, he is actively associated with several National and International professional bodies. He is the author of some well renowned books in the area of Electronics and Communications. His current interest include Communications, Electrical and Computer Networks, Electromagnetics and Optical Fibres.

D.C. Kulshreshtha earned a B. Tech (with Honours) in Electronics and Electrical Communication Engineering from IIT Kharagpur, and Masters Degree in Electrical Engineering from DCE, Delhi. He has taught for more than twenty five years in Delhi College of Engineering and Delhi Institute of Technology. He has authored many excellent Textbooks on Electronics, Instrumentation and Physics. His current interest includes Digital Signal Processing.

## Contents

I. BASIC CONCEPTS :

l. Introduction

2. Electric Current

3. Sources of Energy

4. Lumped Circuit-parameters

5. The Resistance Parameter

6. The Capacitance Parameter

7. The Inductance Parameter

8. Sources of Energy :

i. Independent Sources

ii. Dependent or Controlled Sources

9. Conventions for Voltage and Current

10. Network

11. Classification of Networks :

i. Linearity

ii. Time-invariance

iii. Passivity

iv. Reciprocity

12. Other Network Components :

i. The Transformer

ii. The Gyrator

iii. The Negative Converter

13. The Nullator and the Norator

14. The Dot Convention for Coupled Coils

Problems

II. NETWORK EQUATIONS :

1. Introduction :

i. Kirchhoff s Current Law (KCL)

ii. Kirchhoff s Voltage Law (KVL)

2. Branch Currents and Mesh Currents

3. Positive Directions for Currents

4. The Number of Network Equations

5. Mesh Analysis :

i. Mesh Analysis Considering Sinusoidal Excitation

ii. Mesh Analysis for Circuits Having Coupled Coils

iii. Mesh Analysis Considering Controlled Sources

iv. The Concept of Supermeshes

6. Nodal Analysis :

i. Nodal Analysis Considering Sinusoidal Excitation

ii. Nodal Analysis Considering Controlled Sources

iii. The Concept of Supernodes

7. Source Transformations

8. Network Simplification Techniques

9. Mesh Equations by Inspection

10. Nodal Equations by Inspection

11. Duality :

i. The Dot Method

ii. Network Convention for Determining Source

iii. Orientation

Solved Examples

Problems :

III. TRANSIENT RESPONSE OF NETWORKS :

1. Introduction

2. General and Particular Solution

3. The Simple RL Network

4. The Time Constant

5. The Simple RC Network

6. Network Response with Dc Forcing Function

7. Initial Conditions in Networks :

i. Initial Conditions in Elements

ii. Graphical Interpretation of Derivatives

iii. A Procedure for Evaluating Initial Conditions

8. The RLC Network :

i. Second Order Homogeneous Differential Equation

ii. Networks Excited by External Energy Sources

Solved Examples

Problems

IV. THE LAPLACE TRANSFORM :

1. Introduction

2. Nature of a Mathematical Transform

3. Definition of Laplace Transform

4. Inverse Laplace Transform

5. Basic Properties of Laplace, Transforms

6. Use of Laplace Transform in Solving Electrical Networks

7. Partial Fraction Expansion

i. Heaviside's Expansion Theorem'

ii. Goldstone's Method

iii. Partial-Fraction of Functions with Complex Roots

8. The Concept of Complex Frequency

9. The Transformed Circuit-elements

10. Transform Methods in Network Analysis

Solved Examples

Problems

V. NETWORK Topology :

1. Introduction

2. History and Importance

3. The Graph of a Network :

i. The Oriented Graph

ii. The Subgraph

iii. Planar Graph

iv. The Tree

4. The Incidence Matrix :

i. The Reduced Incidence Matrix

ii. The KCL Equations

5. Fundamental Loops of a Graph :

i. 'The KVL Equations for f-loops

ii. Rank of Fundamental Loop Matrix

iii. The Mesh Matrix

6. Cut-set :

i. Orientation of a Cut-set

ii. The KCL Equations for Cut-sets

7. Fundamental Cut-sets (f Cut-sets)

i. Fundamental Cutset Matrix

ii. Rank of f Cutset Matrix

iii. Relation between Branch Voltages and Tree-Twig Voltages

8. Inter-relation Among the Matrices :

i. Inter-relation between Incidence Matrix and/loop Matrix

ii. Inter-relation between Incidence Matrix and/-cut set Matrix

iii. Inter-relation between f-loop Matrix and f-cut set Matrix

9. Voltage and Current Transformations :

i. Twig Voltage Transformation

ii. Node Voltage Transformation

iii. Link Current Transformation

iv. Mesh Current Transformation

10. Generalized Element

11. Formulation of Network Equations :

i. Loop Equations

ii. Cut-set Equations

iii. Mesh Equations

iv. Node Equations

12. Network Equations by Inspection

13. Network with Mutual Inductance

14. Network with Controlled Sources

15. Duality

Solved Examples

Problems

VI. NETWORK THEOREMS :

1. Introduction

2. Star Delta Transformation :

i. Delta to Star Conversion

ii. Star to Delta Conversion

3. Superposition Theorem

4. Thevenin's Theorem

5. Norton's Theorem

6. Maximum Power Transfer Theorem

7. Millman's Theorem

8. Reciprocity Theorem

9. Tellegen' s Theorem

10. Substitution Theorem

Solved Examples

Problems

VII. TWO PORT NETWORKS :

1. Introduction

2. Open Circuit or Impedance or z-parameters :

i. Equivalent Circuit using z-parameters

ii. Condition for Reciprocity and Symmetry

3. Short Circuit or Admittance or y-parameters :

i. Equivalent Circuit using y-parameters

ii. Condition for Reciprocity and Symmetry

4. Hybrid or h-parameters :

i. Equivalent Circuit using h-Parameters

ii. Condition for Reciprocity and Symmetry

5. Inverse-h or g-parameters :

i. Equivalent Circuit using g-Parameters

ii. Condition for Reciprocity and Symmetry

6. Transmission or ABCD Parameters :

i. Condition for Reciprocity and Symmetry

7. Inverse Transmission or abed Parameters :

i. Condition for Reciprocity and Symmetry

8. Conversion of Parameters

9. Image Parameters :

i. Image Parameters in Terms of ABCD Parameters

ii. Image Impedances for Symmetrical Network

iii. Open and Short Circuit Impedances in Terms of ABCD Parameters

iv. Image Impedances in Terms of Open Circuit and Short Circuit Impedances

v. Summary of Image Impedances

10. Parameters of Some Important Networks :

i. Lattice Network

ii. Star or T-Network

iii. Delta or ∏-Network

iv. T-∏ Network Transformation

11. Terminated 2-port Networks :

i. Output Impedance of a Terminated 2-Port Network

12. Interconnection of Two-port Networks :

i. Validity Tests for Interconnections

ii. Twin-T and Bridged-T Networks

Solved Examples

Problems

VIII. APPLICATIONS OF LAPLACE TRANSFORMS :

1. Introduction

2. The Shifted Unit Step Function

3. Some Important Properties of Laplace Transforms

4. The Ramp and Unit Impulse Function :

i. Laplace Transform of Unit Impulse Functions

ii. Sampling Property of Unit Impulse Function

5. Waveform Synthesis :

i. The Gate Function

ii. Periodic Functions

6. The Convolution Integral

7. The Impulse Response of a Network

8. The Superposition Integral

9. Inverse Laplace Transform of Some Irrational Functions

Solved Examples

Problems

IX. NETWORK FUNCTIONS :

1. Introduction

2. Network Functions for One and Two-port Networks :

i. One-Port Networks

ii. Two-Pork networks

3. Network Functions of Some Typical Networks :

i. Ladder Networks

ii. Non-ladder Networks

4. Pole-zero Plot of a Network Function :

i. Important Features of Poles and Zeros of N(s)

5. Restrictions on Poles and Zeros Locations :

i. Restriction on Poles and Zeros of Driving Point Immittance Functions

ii. Restriction on Poles and Zeros of Transfer Functions

6. Time Domain Behaviour from Pole-zero Plot

7. Finding Inverse Laplace Transform from Pole-zero Plot

8. Transfer Function of Active Networks

Solved Examples

Problems

X. RESONANCE :

1. Introduction

2. Series Resonance :

i. The Quality Factor

3. Pole-zero Configuration of Series Resonant Circuit

4. Plot of Various Parameters

5. Features of Series Resonance

6. Important Relations in Series Resonance

7. General Parallel Resonant Circuit

8. Parallel Resonating Circuit with RC = Q

9. Parallel RLC Resonant Circuit :

i. The Quality Factor

10. Features of Parallel Resonance

11. Important Relations in Parallel Resonance

12. Other Resonant Circuits

Solved Examples

Problems

XI. FOURIER SERIES AND FOURIER TRANSFORM :

1. Introduction

2. Basic Concepts :

i. Some Useful Integrals

3. Trigonometric Fourier Series :

i. Evaluation of Fourier Coefficients

4. Waveform Symmetries

5. Representation of any Function in Even and Odd Parts

6. Exponential Fourier Series

7. Response to Periodic Forcing Functions

8. Fourier Transform

9. Fourier Transforms of Some Useful Functions

10. Properties of the Fourier Transform

11. Fourier Transform of a Periodic Function

12. Applications to Electric Networks

Solved Examples

Problems

XII. ANALOGOUS SYSTEMS :

1. Introduction

2. Linear Mechanical Elements :

i. Translational System

ii Systems

3. D'Alembert's Principle

4. Force-Voltage Analogy

5. Force-Current Analogy

6. Mechanical Coupling Devices :

i. Friction Wheels or Gears

ii. Levers

7. Electromechanical Systems

Solved Examples

Problems

XIII. STATE VARIABLE ANALYSIS :

1. Introduction

2. The Concept of State

3. Order of Complexity of a Network

4. State Equations

5. Formulation of State Equations :

i. Equivalent Source Method

ii. Network Topological Method

6. Time Domain Solution of the State Equations :

i. Solution of Homogeneous State Equation

ii. State Transition Matrix

iii. Solution of Non Homogeneous State Equation

7. Evaluation of Matrix Exponential :

i. Series Evaluation

ii. Evaluation using Cayley-Hamilton Technique

iii. Evaluation using Similarity Transformation

iv. Evaluation using Laplace Transform

Solved Examples

Problems

XIV. DISTRIBUTED PARAMETERS : TRANSMISSION LINES :

1. Introduction

2. Equivalent Circuit of Transmission Line :

i. The Line at Radio Frequencies

ii. The Line at Power Frequencies

3. Transmission Line Equation :

i. Steady State Sinusoidal Solution

4. Terminated Transmission Line :

i. Voltage Standing Wave Ratio (VSWR)

5. Input Impedance of Transmission Line

6. Measurement of Various Parameters on Lossless Transmission Line

7. Transmission Line Matrices :

i. Matrices for Lossless Transmission Line

8. Paired Telephone Cables

9. Distortions in Transmission Lines :

i. Distortionless Transmission Line

10 Open Wire and Coaxial Cables :

i. Parameters at Radio Frequencies

ii. Characteristic Impedance

11. Impedance Transformation and Matching :

i. Single Shunt Stub Matching

ii. Single Series Stub Matching

Solved Examples

Problems

XV. SYNTHESIS OF ONE PORT NETWORKS :

1. Introduction

2. Causality and Stability

3. Hurwitz Polynomial

4. Routh's Criterion

5. Positive Real Functions

6. Sturm's Theorem

7. Elementary Synthesis Procedures

8. Synthesis of One-port Networks with Two Kinds of Elements :

i. Properties of L-C Immittance Functions

ii. Synthesis of L-C Driving Point Immittance Functions

9. RC Impedance Function :

i. Properties of R-C Driving Point Impedance Functions

ii. Synthesis of RC Impedances or RL Admittances

10 RL Impedance Function :

i. Properties of RL Driving Point Impedance Functions

ii. Synthesis of RL Impedances or RC Admittances

Solved Examples

Problems

XVI. PASSIVE FILTERS AND ATTENUATORS :

1 Introduction

2 Classification of Filters :

i. Mathematical Representation of Attenuation

3. General Relations in Filters :

i. Characteristic Impedance for T and ∏ Sections

ii. Attenuation and Phase Constant

iii. Cutoff Frequency

iv. Summary of Relations for Filter Sections

4. Constant-Low Pass Filters (LPF) :

i. Analysis of Constant-k-LPF

5. Constant-High Pass Filters (HPF) :

i. Analysis of Constant-k-HPF

6. Constant-k Band Pass Filters (BPF) :

i. Analysis of Constant-k-BPF

7. Constant-k Band Stop Filter (BSF) :

i. Analysis of Constant-k-BSF

ii. Drawbacks of Constant-k Filters

8. m-derived Filters :

i. Principle of m-derived Filters

9 The m-derived T and ∏ Section :

i. m-derived T-section Network

ii. m-derived ∏-section Network

10 m-derived Low Pass Filters (LPF) :

i. m-derived T-section LPF

ii. m-derived ∏-section LPF

iii. Composite Filters

iv. Attenuation and Phase Constant

v. Summary of m-derived LPF

11. m-derived High Pass Filters (HPF) :

i. m-derived T-section HPF

ii. m-derived ∏-section HPF

iii. Summary of m-derived HPF

12. m-derived Band Pass Filters (BPF) :

i. Summary of m-derived BPF

13. Terminating m-derived Half Sections : Composite Filters :

i. Design of Composite/Filter

14. Attenuators

15. Symmetrical Attenuators :

i. Symmetrical ∏-Attenuator

ii. Symmetrical T-Attenuator

iii. Symmetrical Bridged T-Attenuator

iv. Symmetrical Lattice Attenuator

16. Asymmetrical Attenuators :

i. Asymmetrical L-Attenuator

ii. Asymmetrical T-Attenuator

iii. Asymmetrical ∏-Attenuator

iv. Asymmetrical L-Attenuator between Two Equal Impedances

v. Summary of Design Equations of Attenuators

Solved Examples

Problems

XVII. ACTIVE AND DIGITAL FILTERS :

1. Introduction

2. Filter Function Definitions :

i. Filter Specifications

ii. The Biquadratic Filter Function

3. Second Order Sallen-key Filters :

i. Second Order Active Low-pass Filter

ii. Second Order Active High-Pass Filter

iii. Second Order Active Band-Pass Filter

iv. Modified Version of Low-Pass, High-Pass and Band-Pass Filters

4. Cascading of Active Filters

5. Butterworth Filters :

i. First Order Low-Pass Butterworth Filter

ii. Second Order Low Pass Butterworth Filter

iii. Second Order Band-Pass Butterworth Filter

iv. High Pass and Other Butterworth Filters

6. Switched-capacitor Filters :

i. Resistance Simulation

ii. Switched-Capacitor Realization of Integrator

iii. Realization of Gain Stages

iv. Realization of One Pole Sections

7. Digital Filters (DF) :

i. Digital Filter as a System

ii. Digital Filter Networks

iii. Discrete-time Elementary Functions

iv. Convolution of Discrete-time Signals

8. Realization of Digital Filters :

i. Direct Realization of DF

ii. Direct Canonic Realization of DF

iii. Cascade Realization

iv. Parallel Realization of DF

v. Ladder Realization of DF

9. Discrete Fourier Transform (DFT)

10 Realization of Various Elements in Active and Digital Filters

Solved Examples

Problems

Answers for Some Selected Problems