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[Test & Measurement]
Calculating Return-Loss Uncertainty

Jack Browne  |  ED Online ID #14641 |  January 2007
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For reflection measurements, the uncertainty in magnitude VRC, U(|*|) can be converted to the equivalent return loss uncertainty, U(RL), using Eq. 38:

where:
* = the measured VRC.
Calculating phase uncertainty:
For a given S-parameter, Sij (i = 1, 2; j = 1, 2), the uncertainty in phase, U(*), can be estimated using Eq. 49:

where:
U(|Sij|) = the uncertainty in |Sij|.
When calculating the uncertainty in transmission phase, it is first necessary to determine the uncertainty in the magnitude of the linear transmission coefficient (i.e. U(|S21|) or U(|S12|)). This can be derived from the measured attenuation, A, and the uncertainty in the measured attenuation, U(A), using Eq. 58:





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