Agilent Technologies 8510-58 manual Appendix C Cal coefficients model, Equation

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Appendix C

Cal coefficients model

Offset devices like offset shorts and offset opens can be modeled by the following signal flow graph :

Figure 1 Signal flow graph model of offset devices

The offset portion of the open or short, is modeled as a perfectly uniform lossy air dielectric transmis- sion line. The expected coefficient of reflection, Γ, of the open or short then can be solved by signal flow graph technique.

Equation 1

The terms Zo, and are related to the cal coefficients - Offset Zo, Offset Loss, and Offset Delay - as follows:

Recall that

Equation 2

L ≈ L0 + ωR

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Contents Product Note 8510-5B Table of contents Measurement calibration Measurement errorsIntroduction Calibration kit Class assignment Standard definitionStandard definitions table Standard class assignments Select standards Modification procedureStandard definition models Define standardsOpen circuit capacitance C0 , C1 , C2 and C3 Standard numberStandard type ΠfZ ΠfXShort circuit inductance L0 , L1, L2 and L3 ∆∅radians = 2πf ∆lengthDelay seconds = Offset delayFixed or sliding Terminal impedanceOffset Z0 Linear delay Actual delay = Fco/f21GHz = Offset loss1GHz c Z0 10 log10e εrLower/minimum frequency Fupper = 2 x Flower Upper/maximum frequencyCoax or waveguide ∅radians =Standard Classes Assign classesStandard labels Forward transmission match and thru S11 A,B,C and S22 A,B,CReverse transmission match and thru IsolationTRL Reflect TRL ThruTRL Line TRM ThruCalibration kit label Standard Class labelsTRL options Verify performance Enter standards/classesModification examples User modified cal kits and Agilent 8510 specificationsModeling a thru adapter Modeling an arbitrary impedance standardDisk procedure Appendix a Calibration kit entry procedureTo load calibration kits from disk into Agilent To store calibration kits from the Agilent 8510 onto a diskFront panel procedure P-band waveguide example Pshort Type-N coaxial connector interface Appendix B Dimensional considerations in coaxial connectors Mm coaxial connector interface Female type-N Mm Coaxial connector Type-N coaxial connector interfacePage Equation Appendix C Cal coefficients modelTheir first order approximations, R is small and G=0, are Then Online assistance Phone or Fax United States