Abstract
Conference matrices were first used in Belevitch’s (Belevitch, Electric Communication 26:231–244, 1950) telephone network diagnostics. Hadamard matrices and mixed orthogonal arrays are vertical matrices. However, the conference matrices is the square orthogonal matrices. In principle, we will explain the generation mechanism of the conference matrices that can be constructed every two rows.
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References
Balonin, N. A., & Seberry, J. (2014). A Review and new symmetric conference matrices. Research online University of Wollongong.
Belevitch, V. (1950). Theorem of 2n−terminal networks with application to conference telephony. Electric Communication, 26, 231–244.
Boumedine, T. (2016). Complex conference matrices. Springer International Publishing, Switzerland.
Mori, T., Sadamatsu, I., Matsuura, S., & Tanaka, K. (2019). Parameter design by orthogonal programming using conference matrices and two−level noise. Quality, 49(3), 66–78.
Tanaka, K. (2016). Conference matrices and design of experiments. Quality, 461, 51−54.
Xiao, L., Lin, D. K. J., & Bai, F. (2012). Constructing definitive screening design using conference matrices. Journal of Quality Technology, 44, (1), 2−8.
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Mori, T. (2024). Conference Matrices Generation. In: Conference Matrices for Optimizing and Applications. Springer, Singapore. https://doi.org/10.1007/978-981-99-6839-8_2
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DOI: https://doi.org/10.1007/978-981-99-6839-8_2
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Online ISBN: 978-981-99-6839-8
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