H-infinity Engineering and Amplifier Optimization

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.

Book appeals to a cross audience of applied mathematicians and engineers Applies H-infinity theory to electronic amplifier design Demonstrates how recent developments in H-infinity engineering equip amplifier designers with new tools and avenues for research Research topics are organized into a collection of open problems

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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.

Contenu
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.