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The Frontiers of Society, Science and Technology, 2020, 2(10); doi: 10.25236/FSST.2020.021015.

Research on Construction of Conference Matrices and Transformation between Conference Matrices and Equiangular Tight Frames


Lingfei Zhang*1, Yunbo Yang2, Yilin Ge3, Yudi Cai4

Corresponding Author:
Lingfei Zhang

1 Hong Kong Baptist University, Kowloon City, Hksar 999077, China

2 Harbin Institute of Technology (Weihai), Weihai 264209, China

3 Harrisburg Academy, Wormleysburg, PA 17043, United States

4 World Foreign Language Academy, Shanghai 200032, China

* Corresponding author email: [email protected]


Equiangular tight frames arise in various applications in communications and coding. ETFs have close connections with such combinatorial objects as strongly regular graphs, difference sets and Steiner systems. This paper demonstrates with examples one way of constructing a special kind of matrices called conference matrices while showing the limitation of this method, and also demonstrates with examples the correspondence between conference matrices and d-by-2d ETFs.


Equiangular tight frame, Conference matrix, Gram matrix

Cite This Paper

Lingfei Zhang, Yunbo Yang, Yilin Ge, Yudi Cai. Research on Construction of Conference Matrices and Transformation between Conference Matrices and Equiangular Tight Frames. The Frontiers of Society, Science and Technology (2020) Vol. 2 Issue 10: 62-66. https://doi.org/10.25236/FSST.2020.021015.


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