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H-infinity Engineering and Amplifier Optimization
Buch von Jefferey C. Allen
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

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.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 288
Reihe: Systems & Control: Foundations & Applications
Inhalt: xxxiii
249 S.
ISBN-13: 9780817637804
ISBN-10: 081763780X
Sprache: Englisch
Herstellernummer: 10954560
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Allen, Jefferey C.
Auflage: 2004
Hersteller: Birkh„user Boston
Birkhäuser Boston
Systems & Control: Foundations & Applications
Maße: 241 x 160 x 21 mm
Von/Mit: Jefferey C. Allen
Erscheinungsdatum: 13.07.2004
Gewicht: 0,6 kg
preigu-id: 102437583
Zusammenfassung

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.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 288
Reihe: Systems & Control: Foundations & Applications
Inhalt: xxxiii
249 S.
ISBN-13: 9780817637804
ISBN-10: 081763780X
Sprache: Englisch
Herstellernummer: 10954560
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Allen, Jefferey C.
Auflage: 2004
Hersteller: Birkh„user Boston
Birkhäuser Boston
Systems & Control: Foundations & Applications
Maße: 241 x 160 x 21 mm
Von/Mit: Jefferey C. Allen
Erscheinungsdatum: 13.07.2004
Gewicht: 0,6 kg
preigu-id: 102437583
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