H-infinity Engineering and Amplifier Optimization

by Jefferey C. Allen

Overview

H-infinity engineering continues to establish itself as a discipline of applied mathematics. As such, this extensively illustrated monograph makes a significant application of H-infinity theory to electronic amplifier design, demonstrating how recent developments in H-infinity engineering equip amplifier designers with new tools and avenues for research.

The amplification of a weak, noisy, wideband signal is a canonical problem in electrical engineering. Given an amplifier, matching circuits must be designed to maximize gain, minimize noise, and guarantee stability. These competing design objectives constitute a multiobjective optimization problem. Because the matching circuits are H-infinity functions, amplifier design is really a problem in H-infinity multiobjective optimization.

Product Details

ISBN-13:	9780817637804
Publisher:	Birkhäuser Boston
Publication date:	07/13/2004
Series:	Systems & Control: Foundations & Applications
Edition description:	2004
Pages:	249
Product dimensions:	0.00(w) x 0.00(h) x 0.03(d)

Table of Contents

1 Electric Circuits for Mathematicians.- 2 The Amplifier Matching Problem.- 3 H? Tools for Electrical Engineers.- 4 Lossless N-Ports.- 5 The H? Framework.- 6 Amplifier Matching Examples.- 7 H? Multidisk Methods.- 8 State-Space Methods for Single Amplifiers.- 9 State-Space Methods for Multiple Amplifiers.- 10 Research Topics.- A The Axioms of Electric Circuits.- A.1 Krein Spaces and Angle Operators.- A.2 N-Ports—Angle Operators.- A.3 Time Invariance—Convolution.- A.4 Causality— Analyticity.- Existence.- B Taylor’s Expansion and the Descent Lemma.- Taylor’s Expansion.- The Kolmogorov Criterion.- 237.- 245.

Editorial Reviews

"This book deals with the electronic amplifier matching problem and proposes a general approach in the H-infinity framework. Loosely speaking, the design procedure is a multi-objective optimization which simultaneously maximizes the transducer power gain, minimizes the noise figure, and guarantees stability. Basically these objectives are competing, and the book shows how the H-infinity framework provides tools to circumvent this problem…. The book begins with a thorough background on circuit theory, H-infinity and control theory, and then deals with the amplifier matching problem, of which some examples are displayed…. The monograph concludes with a collection of open problems." —Mathematical Reviews

From the Publisher