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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.
Sommario
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.
Riassunto
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 presentation, at the interface of applied mathematics and engineering, 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.
Testo aggiuntivo
"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
Relazione
"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
