Q factor measurements using MATLAB®
By: Darko Kajfez
Publisher: Artech House
Published: 2011
Place of publication: Boston; London
Language: eng
Number of pages: 190
ISBN-13: 9781608071616
Subjects: Microwave measurements; MATLAB; Microwave circuits
Notes: Includes index.
Table of contents: title: Machine generated contents note: 1.Theoretical Foundations; title: 1.1.Foster's Theorem; title: 1.1.1.Lumped-Element Lossless Circuits; title: 1.1.2.Microwave Lossless Circuits; title: 1.1.3.Reflection Coefficient of a Lossless Circuit; title: 1.2.LCR Resonant Circuits; title: 1.2.1.Series Resonant Circuit; title: 1.2.2.Parallel Resonant Circuit; title: 1.2.3.Augmented Parallel Resonant Circuit; title: 1.3.Lossy Microwave One-Port; title: 1.4.Q Factor Definitions; title: 1.4.1.Q in Terms of Energy Ratio; title: 1.4.2.Q in Terms of Reactance (or Susceptance) Slope; title: 1.4.3.Coupling Coefficient; title: 1.4.4.Partial Qs; title: 1.5.Q Circles; title: 1.6.Fractional Linear Curve Fitting; title: 1.6.1.De-Embedding Problem; title: 1.6.2.Scalar Products; title: 1.6.3.Overdetermined System of Equations; title: 1.6.4.Weighting; title: 1.6.5.Error Estimates; title: 1.7.Lossless Coupling; title: 1.7.1.High-Q Approximations; title: 1.7.2.Input Reflection Coefficient; title: 1.7.3.Repeated Curve Fitting; title: 1.7.4.Computation of Q1 and k from a1 to a3; title: 1.8.Correction for Coupling Losses; title: References; title: 2.Reflection Measurement Method; title: 2.1.Program Q0REFL; title: 2.1.1.Selecting MATLAB Properties; title: 2.1.2.Using Q0REFL on Measured Data; title: 2.2.Using Q0REFL on Validation Data; title: 2.2.1.Generating the Validation Data; title: 2.2.2.Influence of X5 and R5; title: 2.2.3.Influence of the Line Length; title: 2.2.4.Influence of Random Errors; title: References; title: 3.Reaction Measurement Method; title: 3.1.Equivalent Circuit and the Corresponding Q Circles; title: 3.2.Program Q0REAC; title: 3.3.Generating the Validation Data; title: 3.3.1.Influence of Capacitances in Microstrip-to-Coaxial Launchers; title: 3.3.2.Influence of the Microstrip Line; title: 3.4.De-Embedding Resonator's S Matrix; title: 3.4.1.Equivalent Network Matrix Transformations; title: 3.4.2.Evaluating the Element Values of the Fixture by Optimization; title: 3.5.Program DEREAC; title: 3.6.Program DEREACPL; title: References; title: 4.Transmission Measurement Method; title: 4.1.Equivalent Network for Transmission Type Measurement; title: 4.1.1.Q Circle for Scattering Coefficient S21; title: 4.1.2.Q Circles for Scattering Coefficients S11 and S22; title: 4.1.3.Generating the Validation Data; title: 4.2.Program Q0TRAN; title: 4.2.1.Recovering Resonator Characteristics from the S-Parameter Data; title: 4.2.2.Processing Failure; title: 4.2.3.Uncertainty Estimates; title: 4.2.4.Use of Q0TRAN on the Measured Data; title: 4.2.5.Use of Q0TRAN on the Simulated Data; title: References.