Corrected VSOC De-embedding for Microwave Circuit S-Parameter Accuracy
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Solution Overview
Problem
Existing Vector Short-Open-Calibration (VSOC) methodologies for de-embedding port discontinuities in microwave circuits often incorporate incorrect reciprocity relationships, leading to inaccurate network parameter characterization due to erroneous definitions of ABCD-matrix blocks, which affects the accuracy of S-parameters across various frequency bands.
Innovation Solution
The implementation of a corrected VSOC methodology that accurately defines the ABCD-matrix blocks using the correct reciprocity relationship, where the 'a' block involves the transpose of the short-circuit current and the 'c' block is derived from the open-circuit current multiplied by the 'a' block, ensuring precise de-embedding of feed line networks and port discontinuities.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional VSOC methodologies are used with incorrect reciprocity relationships, then the de-embedding process can be completed, but the network parameter characterization becomes inaccurate due to erroneous ABCD-matrix definitions
Solution Approach 1:
The patent applies preliminary anti-action by deriving the correct reciprocity relationship for multiport networks before performing de-embedding operations. The method establishes proper ABCD-matrix definitions with correct transpose operations on short-circuit current vectors, preventing the propagation of errors through the entire measurement and characterization process. This preliminary correction ensures that subsequent S-parameter calculations are based on accurate network models.
2Productivity
If the ABCD-matrix blocks are defined with incorrect transpose operations, then the de-embedding calculation can proceed, but the resulting S-parameters exhibit errors across frequency bands
Solution Approach 1:
The patent implements feedback by establishing a rigorous mathematical framework that continuously verifies the correctness of ABCD-matrix definitions through proper transpose operations. The method uses correctly defined reciprocity relationships to feedback into the de-embedding calculation process, ensuring that each matrix operation maintains mathematical consistency and produces accurate network parameters across all frequency ranges.
Data Source
AI summary
A method of de-embedding a feed line is shown. The method includes measuring network parameters of a multilayered planar substrate and obtaining network parameters of a feed line using a short-open-calibration (SOC) according to an ABCD-matrix. An “a” block of the ABCD-matrix includes a first matrix multiplied by a transpose of a first short-circuit current. The first matrix is an inverse of a difference of an open-circuit current and a second short-circuit current. A “c” block of the ABCD-matrix includes the open-circuit current multiplied by the “a” block. The method includes de-embedding the network parameters of the feed line from the network parameters of the multilayered planar substrate to obtain microwave circuit network parameters and, responsive to the microwave circuit network parameters being within or not within a specified range, respectively approving or rejecting customer shipment of the microwave circuit.