Linear Circuit Transfer Functions - an Introduction to Fast Analytical Techniques describes how to apply fast analytical circuits techniques (FACTs) when determining linear circuit transfer functions and is available from Wiley via numerous distributors. It is an excellent companion to my new one on transfer functions of switching converters. You will learn how to analyze simple to complex linear circuits by determining the circuit's time constants in different configurations. The idea is to split a complex circuit into small sketches and solve them independently. Then assemble the results to form the complete transfer function. The book is published by Wiley in the IEEE press imprint. Each chapter is offering 10 fully-documented problems so that you can check if you have acquired the skill. This book is currently being translated into French and should soon be available in that language. If you have contacts for publications in German, Italian or Spanish, I am open to suggestions. The French edition has been released in 2017 and the Chinese version is now available.
There are 5 chapters, gradually introducing you to the technique. The Table of Contents (TOC) is here.
Chapter 1: it is an introduction with generalities on time constants and transfer functions. You will learn how to determine the resistance driving a capacitor or an inductor by looking into the component's terminals. Through a refresh on classical theorems, you will see how you can simplify circuits analysis and smoothly enter the world of Fast Analytical Circuits Techniques (FACTs).
Chapter 2: this chapter starts with the definition of a linear system. What are the mathematical differences between a linear and a non-linear circuit. Time constants are introduced and linked to the forced and natural responses of a circuit in the time domain. Transfer functions are formely defined with various polynomial forms up to the order n. The 1st-order generalized tranfer function is given in this chapter.
Chapter 3: the Extra-Element Theorem (EET) is defined the way I understood it, with many simple drawings to teach how it was derived by Dr. Middlebrook. Null double injection is explained in this chapter with a method to verify your calculations using SPICE. Numerous simple passive and active circuits examples follow to show the power of this theorem. A simple variation of the theorem leads to the generalized transfer function of a 1st-order system, identical to that given in Chap. 2 but following a different path. Using this generalized form, you do not need to go through the null double injection and it amazingly simplifies the determination of transfer functions for any 1st-order networks.
Chapter 4: this chapter is entirely dedicated to passive or active 2nd-order circuits, built with op amps or transistors. The 2-EET is defined and a simple method is detailed to obtain transfer functions swiftly. Once the skill is acquired, you can determine some of the transfer functions without writing a single line of algebra!
Chapter 5: we enter 3rd-order circuits and above, using a generalized transfer function formula. Learn how you can determine op-amp based filters transfer functions by calculating time constants in various configurations. By breaking a complex circuit into smaller and simpler configurations, you can determine the transfer function of a complex circuit efficiently. By using SPICE in each step, you can verify your results and correct a mistake at any time in the derivation.
Google books offers a preview here. There is a book review here. How2Power also published another review in the July 2016 issue. The September 2016 IEEE newsletter has published a product news.
Each chapter ends with 10 fully documented examples/problems. All corresponding Mathcad files are available here. I maintain a list of identified typos here.
There are more than 70 fully solved examples of transfer functions from 1st to 4th order, active and passive. The complete list is here.
The book is announced on the below sites and the IEEE site also with separate download links.
The French version has arrived! La version francaise est arrivee et est disponible chez Dunod depuis mars 2017. Voici l'avant-propos du livre decrivant son contenu. Amazon distribue le livre.
