Linear Circuit Transfer Functions

An Introduction to Fast Analytical Techniques

Inbunden, Engelska, 2016

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Linear Circuit Transfer Functions: An introduction to Fast Analytical Techniques teaches readers how to determine transfer functions of linear passive and active circuits by applying Fast Analytical Circuits Techniques. Building on their existing knowledge of classical loop/nodal analysis, the book improves and expands their skills to unveil transfer functions in a swift and efficient manner.Starting with simple examples, the author explains step-by-step how expressing circuits time constants in different configurations leads to writing transfer functions in a compact and insightful way. By learning how to organize numerators and denominators in the fastest possible way, readers will speed-up analysis and predict the frequency response of simple to complex circuits. In some cases, they will be able to derive the final expression by inspection, without writing a line of algebra.Key features: Emphasizes analysis through employing time constant-based methods discussed in other text books but not widely used or explained.Develops current techniques on transfer functions, to fast analytical techniques leading to low-entropy transfer functions immediately exploitable for analysis purposes.Covers calculation techniques pertinent to different fields, electrical, electronics, signal processing etc.Describes how a technique is applied and demonstrates this through real design examples.All Mathcad® files used in examples and problems are freely available for download.An ideal reference for electronics or electrical engineering professionals as well as BSEE and MSEE students, this book will help teach them how to: become skilled in the art of determining transfer function by using less algebra and obtaining results in a more effectual way; gain insight into a circuit’s operation by understanding how time constants rule dynamic responses; apply Fast Analytical Techniques to simple and complicated circuits, passive or active and be more efficient at solving problems.

Produktinformation

Utgivningsdatum2016-05-27
Mått173 x 246 x 31 mm
Vikt907 g
FormatInbunden
SpråkEngelska
SerieIEEE Press
Antal sidor464
FörlagJohn Wiley & Sons Inc
ISBN9781119236375

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Christophe Basso, Engineering Director, ON Semiconductor, Toulouse, FranceChristophe Basso holds a BSEE equivalent from Montpellier University (France) and an MSEE from the Institut National Polytechnique of Toulouse. He has over 20 years of power supply industry experience. His recent research interests focus on developing new offline PWM controller specifications. On top of his 3 published books on Switch mode power supplies, Basso also has 30 patents on power conversion and has authored numerous conference papers and trade magazines.

About the Author ix Preface xiAcknowledgement xiii1 Electrical Analysis – Terminology and Theorems 11.1 Transfer Functions, an Informal Approach 11.1.1 Input and Output Ports 31.1.2 Different Types of Transfer Function 61.2 The Few Tools and Theorems You Did Not Forget . . . 111.2.1 The Voltage Divider 111.2.2 The Current Divider 121.2.3 Thévenin’s Theorem at Work 141.2.4 Norton’s Theorem at Work 191.3 What Should I Retain from this Chapter? 251.4 Appendix 1A – Finding Output Impedance/Resistance 261.5 Appendix 1B – Problems 37Answers 392 Transfer Functions 412.1 Linear Systems 412.1.1 A Linear Time-invariant System 432.1.2 The Need for Linearization 432.2 Time Constants 442.2.1 Time Constant Involving an Inductor 472.3 Transfer Functions 492.3.1 Low-entropy Expressions 542.3.2 Higher Order Expressions 592.3.3 Second-order Polynomial Forms 602.3.4 Low-Q Approximation for a 2nd-order Polynomial 622.3.5 Approximation for a 3rd-order Polynomial 682.3.6 How to Determine the Order of the System? 692.3.7 Zeros in the Network 762.4 First Step Towards a Generalized 1st-order Transfer Function 782.4.1 Solving 1st-order Circuits with Ease, Three Examples 822.4.2 Obtaining the Zero with the Null Double Injection 892.4.3 Checking Zeros Obtained in Null Double Injection with SPICE 942.4.4 Network Excitation 952.5 What Should I Retain from this Chapter? 100References 1012.6 Appendix 2A – Problems 102Answers 1053 Superposition and the Extra Element Theorem 1163.1 The Superposition Theorem 1163.1.1 A Two-input/Two-output System 1203.2 The Extra Element Theorem 1263.2.1 The EET at Work on Simple Circuits 1303.2.2 The EET at Work – Example 2 1323.2.3 The EET at Work – Example 3 1373.2.4 The EET at Work – Example 4 1383.2.5 The EET at Work – Example 5 1403.2.6 The EET at Work – Example 6 1463.2.7 Inverted Pole and Zero Notation 1503.3 A Generalized Transfer Function for 1st-order Systems 1533.3.1 Generalized Transfer Function – Example 1 1563.3.2 Generalized Transfer Function – Example 2 1593.3.3 Generalized Transfer Function – Example 3 1633.3.4 Generalized Transfer Function – Example 4 1703.3.5 Generalized Transfer Function – Example 5 1743.4 Further Reading 1803.5 What Should I Retain from this Chapter? 180References 1823.6 Appendix 3A – Problems 183Answers 185References 2184 Second-order Transfer Functions 2194.1 Applying the Extra Element Theorem Twice 2194.1.1 Low-entropy 2nd-order Expressions 2274.1.2 Determining the Zero Positions 2314.1.3 Rearranging and Plotting Expressions 2334.1.4 Example 1 – A Low-Pass Filter 2354.1.5 Example 2 – A Two-capacitor Filter 2414.1.6 Example 3 – A Two-capacitor Band-stop Filter 2454.1.7 Example 4 – An LC Notch Filter 2484.2 A Generalized Transfer Function for 2nd-Order Systems 2554.2.1 Inferring the Presence of Zeros in the Circuit 2564.2.2 Generalized 2nd–order Transfer Function – Example 1 2574.2.3 Generalized 2nd–order Transfer Function – Example 2 2624.2.4 Generalized 2nd–order Transfer Function – Example 3 2664.2.5 Generalized 2nd–order Transfer Function – Example 4 2734.3 What Should I Retain from this Chapter ? 277References 2794.4 Appendix 4A – Problems 279Answers 282References 3115 Nth-order Transfer Functions 3125.1 From the 2EET to the NEET 3125.1.1 3rd-order Transfer Function Example 3175.1.2 Transfer Functions with Zeros 3205.1.3 A Generalized Nth-order Transfer Function 3275.2 Five High-order Transfer Functions Examples 3355.2.1 Example 2: A 3rd-order Active Notch Circuit 3415.2.2 Example 3: A 4th-order LC Passive Filter 3495.2.3 Example 4: A 4th-order Band-pass Active Filter 3555.2.4 Example 5: A 3rd-order Low-pass Active GIC Filter 3685.3 What Should I Retain from this Chapter ? 383References 3855.5 Appendix 5A – Problems 385Answers 388References 431Conclusion 433Glossary of Terms 435Index 439