Ebook: H ∞ 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.

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.

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Content:
Front Matter....Pages i-xxxiii
Electric Circuits for Mathematicians....Pages 1-23
The Amplifier Matching Problem....Pages 25-28
H? Tools for Electrical Engineers....Pages 29-49
Lossless N-Ports....Pages 51-60
The H? Framework....Pages 61-68
Amplifier Matching Examples....Pages 69-105
H? Multidisk Methods....Pages 107-160
State-Space Methods for Single Amplifiers....Pages 161-173
State-Space Methods for Multiple Amplifiers....Pages 175-192
Research Topics....Pages 193-217
Back Matter....Pages 219-249

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Content:
Front Matter....Pages i-xxxiii
Electric Circuits for Mathematicians....Pages 1-23
The Amplifier Matching Problem....Pages 25-28
H? Tools for Electrical Engineers....Pages 29-49
Lossless N-Ports....Pages 51-60
The H? Framework....Pages 61-68
Amplifier Matching Examples....Pages 69-105
H? Multidisk Methods....Pages 107-160
State-Space Methods for Single Amplifiers....Pages 161-173
State-Space Methods for Multiple Amplifiers....Pages 175-192
Research Topics....Pages 193-217
Back Matter....Pages 219-249
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