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In-Phase/Quadrature Covariance-Matrix Representation of the Uncertainty of Vectors and Complex Numbers

Published

Author(s)

Dylan F. Williams, Chih-Ming Wang, Uwe Arz

Abstract

We describe the real/imaginary and in-phase/quadrature covariance-matrix representations of the uncertainty in complex vectors supported by the StatistiCALTM software package, and transformations between these representations and the magnitude/phase uncertainty representation. We illustrate how the in-phase/quadrature representation combines some of the best aspects of the conventional real/imaginary and magnitude/phase representations.
Citation
IEEE Microwave and Guided Wave Letters

Keywords

Complex numbers, in-phase, magnitude, phase, quadrature, translation, uncertainty, vectors

Citation

Williams, D. , Wang, C. and Arz, U. (2006), In-Phase/Quadrature Covariance-Matrix Representation of the Uncertainty of Vectors and Complex Numbers, IEEE Microwave and Guided Wave Letters (Accessed February 28, 2024)
Created November 28, 2006, Updated January 27, 2020