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January 1, 1962IRE Transactions on Circuit Theory

Stability and Power-Gain Invariants of Linear Twoports

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Authors

JRJ.M. RollettBT Group (United Kingdom)

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Overview

Theoretical analysis reveals an invariant stability factor for linear twoports under immittance transformations, indicating that stability is an intrinsic physical property of the network.

Key Points

  • To identify invariant stability and power-gain characteristics of linear twoport networks under port interchanges, lossless terminations, and immittance parameter transformations.
  • Formulated matrix transformations covering impedance, admittance, and hybrid parameters under arbitrary lossless terminations and immittance substitutions.
  • Mathematically derived an invariant stability metric and evaluated its relationship to terminating immittances and power-gain functions.
  • Identified an invariant stability factor k derived from immittance parameters, establishing k = 1 as the exact threshold separating conditional from unconditional stability.
  • Demonstrated that maximum available power gain is invariant under immittance substitution, enabling the determination of k directly from power-gain ratios.

Cite This Study

J.M. Rollett (1962) studied this question.

synapsesocial.com/papers/6a6f2ef7a528af2d65c2de90https://doi.org/10.1109/tct.1962.1086854
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