Symbolic Analysis in Analog Integrated Circuit Design

Author:   Henrik Floberg
Publisher:   Springer
Edition:   1997 ed.
Volume:   413
ISBN:  

9780792399698


Pages:   165
Publication Date:   31 July 1997
Format:   Hardback
Availability:   In Print   Availability explained
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Symbolic Analysis in Analog Integrated Circuit Design


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Overview

This text provides an introduction to computer-aided circuit analysis and presents systematic methods for solving linear (i.e. small-signal) and nonlinear circuit problems, which are illustrated by a number of examples. Computer-aided symbolic circuit analysis is useful in analogue integrated circuit design. Analytic expressions for the network transfer functions contain information that is not provided by a numerical simulation result. However, these expressions are generally extremely long and difficult to interpret; therefore, it is necessary to be able to approximate them guided by the magnitude of the individual circuit parameters. Engineering has been described as ""the art of making approximations"". The inclusion of symbolic analysis in analogue circuit design reduces the implied risk of ambiguity during the approximation process. A systematic method based on the nullor concept is used to obtain the basic feedback transistor amplifier configurations. Approximate expressions for the locations of poles and zeros for linear networks are obtained using the extended pole-splitting technique. An unusual feature of the book is the consistent use of the transadmittance element with finite (linear or nonlinear) or infinite (i.e. nullor) gain as the only requisite circuit element. The describing function method is used to obtain approximate symbolic expressions for the harmonic distortion generated by a soft or hard transconductance nonlinearity embedded in an arbitrary linear network. The design and implementation of a program (i.e. CASCA) for symbolic analysis of time-continuous networks is described. The algorithms can also be used to solve other linear problems, for example, the analysis of time-discrete switched-capacitor networks.

Full Product Details

Author:   Henrik Floberg
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Volume:   413
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.980kg
ISBN:  

9780792399698


ISBN 10:   0792399692
Pages:   165
Publication Date:   31 July 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 Introduction.- 1.1 Symbolic Analysis.- 1.2 Motivation.- 1.3 Book Outline.- 2 Network Theory.- 2.1 Transmission function.- 2.2 Poles and Zeros.- 2.3 Nodes and Ports.- 2.4 Network Elements.- 3 Symbolic Analysis.- 3.1 Circuit Equations.- 3.2 Symbolic Methods.- 3.3 Admittance Matrix.- 3.4 Network Functions.- 3.5 Approximation Methods.- 4 Extended Pole-Splitting.- 4.1 Numerical Roots.- 4.2 Approximate Symbolic Roots.- 4.3 Two-Stage Operational Amplifier.- 4.4 Single-Stage Operational Amplifier.- 5 Compacted Nodal Analysis.- 5.1 Transadmittances.- 5.2 Nullor.- 5.3 Network Functions Using CNA.- 5.4 Block Diagram Elements.- 6 Nullor Synthesis.- 6.1 Two-Port Network.- 6.2 Basic Negative-Feedback Configurations.- 6.3 Nullor Element.- 6.4 Nonideal Transistor.- 6.5 Transistor Implementations of the Nullor.- 6.6 Transistor Amplifiers.- 6.7 Alternative Transistor Amplifiers.- 7 Transistor Models.- 7.1 Network Elements.- 7.2 Nodal Formulation.- 7.3 Nullor.- 7.4 Small-Signal Transistor Models.- 7.5 Approximate Symbolic Expressions.- 8 Symbolic Distortion Analysis.- 8.1 Nonlinear Active Networks.- 8.2 Describing Functions.- 8.3 Examples.- 9 Switched-Capacitor Networks.- 9.1 Switched Capacitor.- 9.2 Equivalent Analog Circuit.- 9.3 Switches and Operational Amplifiers.- 9.4 Switched-Capacitor Amplifier.- 9.5 Switched-Capacitor Biquad.- 10 CASCA.- 10.1 Language.- 10.2 Circuit Description.- 10.3 Graphics.- 11 Conclusions.- A Determinants.- A.1 Definition.- A.2 Minors and Cofactors.- A.3 Cramer’s Rule.- B Cubic Polynomial Equation.- C Describing Function Method.- C.1 Variable Notation.- C.2 Numerical Values.- D CASCA Examples.- D.1 Active RC-Filter.- D.2 Two-Stage Operational Amplifier.- D.3 SC-Biquad.

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