Centering matrix

Centering matrix

Multivariate Inferential Statistics

Published in Jhareswar Maiti, Multivariate Statistical Modeling in Engineering and Management, 2023

From Property VI and nS=XTHX, where H=I−1n11T, an idempotent matrix and also known as centering matrix, it can be shown that nS~Wp(,n−1).

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Published in Chao Gao, Guorong Zhao, Hassen Fourati, Cooperative Localization and Navigation, 2019

Jörg Fliege, Hou-Duo Qi, Naihua Xiu

Since the centering matrix J is the projection matrix onto 1n⊥, we arrive at the equivalent representation K+n={A∈Sn|JAJ∈S+n}.

An efficient and improved PTS algorithm for PAPR reduction in OFDM system

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Journal Information

Published in International Journal of Electronics, 2022

Prabal Gupta, H. Pal Thethi, Ajay Tomer

Centering matrix (Prasad & Jayabalan, 2020) is the idempotent and symmetric which multiplied with the vectors then it creates effects which are same as deducting the mean components of matrix. The most important advantage of centering matrix is that it eliminates mean of the signal vector and multiple vectors kept in columns and rows of matrix. Henceforth, this centering matrix is known as centering phase sequence matrix (CPSM). The rows of this CPSM is considered as the phase sequences. The CPSM is given by matrix. Now, CPSM (C) of order can be given by

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