© 2004

H Engineering and Amplifier Optimization


Part of the Systems & Control: Foundations & Applications book series (SCFA)

Table of contents

  1. Front Matter
    Pages i-xxxiii
  2. Jeffery C. Allen
    Pages 1-23
  3. Jeffery C. Allen
    Pages 25-28
  4. Jeffery C. Allen
    Pages 29-49
  5. Jeffery C. Allen
    Pages 51-60
  6. Jeffery C. Allen
    Pages 61-68
  7. Jeffery C. Allen
    Pages 69-105
  8. Jeffery C. Allen
    Pages 107-160
  9. Jeffery C. Allen
    Pages 161-173
  10. Jeffery C. Allen
    Pages 175-192
  11. Jeffery C. Allen
    Pages 193-217
  12. Back Matter
    Pages 219-249

About this book


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.

To foster this blend of mathematics and engineering, the author begins with a careful review of required circuit theory for the applied mathematician. Similarly, a review of necessary  H-infinity theory is provided for the electrical engineer having some background in control theory. The presentation emphasizes how to (1) compute the best possible performance available from any matching circuits; (2) benchmark existing matching solutions; and (3) generalize results to multiple amplifiers.

As the monograph develops, many research directions are pointed out for both disciplines. The physical meaning of a mathematical problem is made explicit for the mathematician, while circuit problems are presented in the  H-infinity framework for the engineer. A final chapter organizes these research topics into a collection of open problems ranging from electrical engineering, numerical implementations, and generalizations to  H-infinity theory.


Signal applied mathematics control control theory electrical engineering multi-objective optimization operator optimization stability

Authors and affiliations

  1. 1.Naval Command Control and Ocean SurveillanceSpace and Naval Warfare Systems CenterSan DiegoUSA

Bibliographic information

Industry Sectors
Finance, Business & Banking


"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