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Appl. Sci. 2017, 7(9), 866; doi:10.3390/app7090866

A Unified Approach for Reformulations of LRM/LRMM/LRRM Calibration Algorithms Based on the T-Matrix Representation

1
Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an 710071, China
2
Science and Technology on Metrology and Calibration Laboratory, Beijing Institute of Metrology and Measurement, Beijing 100854, China
3
School of Aerospace Science and Technology, Xidian University, Xi’an 710071, China
4
Department of Electrical Engineering, University of Leuven, 3000 Leuven, Belgium
5
School of Electronic Engineering, Xidian University, Xi’an 710071, China
Current address: No. 9, North Pudong Road, Zhenzhou, Yizheng 211400, China.
*
Author to whom correspondence should be addressed.
Received: 9 August 2017 / Revised: 18 August 2017 / Accepted: 19 August 2017 / Published: 24 August 2017
View Full-Text   |   Download PDF [1474 KB, uploaded 24 August 2017]   |  

Abstract

This paper investigates a unified theory to derive vector network analyzer calibration algorithms based on the T-matrix representation, by which means the line-reflect-match (LRM), line-reflect-match-match (LRMM), and the line-reflect-reflect-match (LRRM) calibrations are formulated. The proposed calibration theory is more general than other versions of LRM, LRMM, and LRRM in that an arbitrary known two-port device can be used as the line standard L, rather than a perfect thru or transmission line. Experimental verifications of the proposed theory using on-wafer calibrations from 0.5 GHz to 110 GHz are given. View Full-Text
Keywords: microwave measurement; vector network analyzer (VNA); calibration algorithm; calibration standard; on-wafer calibration microwave measurement; vector network analyzer (VNA); calibration algorithm; calibration standard; on-wafer calibration
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Zhao, W.; Liu, S.; Wang, H.; Liu, Y.; Zhang, S.; Cheng, C.; Feng, K.; Ocket, I.; Schreurs, D.; Nauwelaers, B.; Qin, H.; Yang, X. A Unified Approach for Reformulations of LRM/LRMM/LRRM Calibration Algorithms Based on the T-Matrix Representation. Appl. Sci. 2017, 7, 866.

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