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

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.