AuthorAllen, Jeffery C. author
TitleHโ Engineering and Amplifier Optimization [electronic resource] / by Jeffery C. Allen
ImprintBoston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2004
Connect tohttp://dx.doi.org/10.1007/978-0-8176-8182-1
Descript XXXIII, 249 p. online resource

SUMMARY

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


CONTENT

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 Taylorโs Expansion and the Descent Lemma -- Taylorโs Expansion -- The Kolmogorov Criterion -- 237 -- 245


SUBJECT

  1. Mathematics
  2. Applied mathematics
  3. Engineering mathematics
  4. System theory
  5. Mathematical optimization
  6. Control engineering
  7. Robotics
  8. Mechatronics
  9. Mathematics
  10. Systems Theory
  11. Control
  12. Applications of Mathematics
  13. Optimization
  14. Appl.Mathematics/Computational Methods of Engineering
  15. Control
  16. Robotics
  17. Mechatronics
  18. Signal
  19. Image and Speech Processing