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Programmable Real and Imaginary Data Outputs - Mathematical Consistency

Question asked by SOLT_guy on Sep 2, 2013
Latest reply on Sep 3, 2013 by Dr_joel
Dear Sir:

     I was reviewing how to convert Real and Imaginary GPIBN data outputs to R+JX format.

     I am attaching a document written by Agilent engineers on how to do this.

     I was also reviewing the mathematical derivation of the Smith Chart.   The mathematical derivation is written by an engineer employed at Maxim Corp..

     I have attached the document with the derivation.

     If you look at equations 2.6 and 2.7 they are similar to the equations set forth in the Agilent document.   

     My question is, does the Agilent document approximate the conversion of the Real and Imag data and throw away terms, therefore, the Maxim equations are not approximated?  

     My next question is, within the network analyzer, when the network analyzer does the calculation of its R+JX terms, are the same terms thrown away, or is a complete conversion implemented?

     I look forward to reading your reply.