Revisiting mismatch uncertainty with the rayleigh distribution
Download
1 / 19

Revisiting Mismatch Uncertainty with the Rayleigh Distribution - PowerPoint PPT Presentation


  • 146 Views
  • Uploaded on

Revisiting Mismatch Uncertainty with the Rayleigh Distribution. Michael Dobbert Joe Gorin. Overview. Mismatch Model. The Rayleigh distribution. Finding the Rayleigh parameter . Is the Rayleigh assumption reasonable?. Mismatch Error. ~. Z l. generator. load. Power equation.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Revisiting Mismatch Uncertainty with the Rayleigh Distribution' - minnie


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Revisiting mismatch uncertainty with the rayleigh distribution

Revisiting Mismatch Uncertainty with the Rayleigh Distribution

Michael Dobbert

Joe Gorin


Overview
Overview Distribution

  • Mismatch Model.

  • The Rayleigh distribution.

  • Finding the Rayleigh parameter.

  • Is the Rayleigh assumption reasonable?


Mismatch error
Mismatch Error Distribution

~

Zl

generator

load

Power equation


Mismatch model
Mismatch Model Distribution

Mismatch error equation.

Im

?

Circular symmetry about the origin.

Re

Mismatch uncertainty equation.

(real components)


Reflection coefficient uncertainty fixed
Reflection Coefficient Uncertainty (fixed) Distribution

Im

pdf

Re

0

Harris, I. A. and Warner, F. L., Re-examination of mismatch uncertainty when measuring microwave power and attenuation, Microwaves, Optics and Antennas, IEE Proceedings ~ H, February 1981, Volume 128, Issue 1.


Reflection coefficient uncertainty fixed1
Reflection Coefficient Uncertainty (fixed) Distribution

Im

pdf

Re

0

Harris, I. A. and Warner, F. L., Re-examination of mismatch uncertainty when measuring microwave power and attenuation, Microwaves, Optics and Antennas, IEE Proceedings ~ H, February 1981, Volume 128, Issue 1.



Reflection coefficient uncertainty uniform
Reflection Coefficient Uncertainty (Uniform) Distribution

Im

pdf

Re

0

Fundamentals of RF and Microwave Power Measurements (Part 3) Power Measurement Uncertainty per International Guides. Agilent Application Note AN 1449-3, April 5, 2011, literature number 5988-9215EN.


Reflection coefficient uncertainty rayleigh
Reflection Coefficient Uncertainty (Rayleigh) Distribution

Im

pdf

Re

σis the Rayleigh distribution parameter.

0


Finding the rayleigh parameter
Finding the Rayleigh Parameter Distribution

Rayleigh cumulative distribution function


Is the rayleigh assumption reasonable
Is the Rayleigh Assumption Reasonable? Distribution

Mullen, J. A. and Pritchard, W. L., The Statistical Prediction of Voltage Standing-Wave Ratio, Microwave Theory and Techniques, IRE Transactions, April 1957, Volume 5, Issue 2.


Power sensor
Power Sensor Distribution


Signal generator
Signal Generator Distribution


Signal analyzer
Signal Analyzer Distribution



Comparing models
Comparing Models Distribution

Mismatch uncertainty is roughly proportional to the reflection coefficient median value.


Rayleigh conclusion
Rayleigh Conclusion Distribution

  • Reasonable model,

  • Straight forward to calculate,

  • Significantly lower estimate of mismatch uncertainty.


ad