http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
H ∞ Engineering and Amplifier Optimization
1 online resource (XXXI, 249 pages 30 illustrations)
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.
Preface -- Electric Circuits for Mathematicians -- The Amplifier Matching Problem -- H-infinity Tools for Electrical Engineers -- Lossless N-Ports -- The H-infinity Framework -- Amplifier Matching Examples -- H-infinity Multidisk Methods -- State-Space Methods for Single Amplifiers -- State-Space Methods for Multiple Amplifiers -- Research Topics -- References -- The Axioms of Electric Circuits -- Taylor's Expansion and the Descent Lemma -- References -- Index.