State-Space Methods for Single Amplifiers

  • Jeffery C. Allen
Part of the Systems & Control: Foundations & Applications book series (SCFA)


The H∞ Methods bound the amplifier’s performance available from any matching circuit. In fact, a good portion of Chapter 7 is devoted to making these H∞ bounds tight. In contrast, most engineering approaches specify a matching circuit and optimize over the component values. This is the approach taken in Chapter 6. The State-Space Method stands between these two extremes by optimizing over all possible matching circuits of a specified degree. The reactive components are specified but the optimization takes place over all component values and circuit topologies. The state-space representation of Chapter 4 completely parameterizes the lumped, lossless N-ports from the orthogonal group. The state-space representation also parameterizes a subset of the lumped-distributed iV-ports whose distributed elements are transmission lines of the same electrical length. Both representations admit generalizations to single-stage amplifiers, multistage amplifiers, and amplifier representation theory.


Unit Element Goal Attainment Orthogonal Group Noise Figure Matching Performance 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Jeffery C. Allen
    • 1
  1. 1.Naval Command Control and Ocean SurveillanceSpace and Naval Warfare Systems CenterSan DiegoUSA

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