Paper Title
Construction Of Weighing Matrices And Hadamard Matrices
Abstract
Recently weighing matrices have been found much beneficial to engineers working with satellite and digital
communications. They have been found to have many similarities with perfect ternary arrays. These arrays have been
frequently implemented in digital communications. Complex Hadamard matrices have applications in quantum information
theory and quantum tomography. The purpose of this paper is to forward simple constructions for some of these matrices so
that they can be used by engineers. This paper introduces a new generalization of matrix orthogonality. It has been shown
that several classical as well as Hadamard matrices with circulant blocks can be obtained from generalized orthogonal
matrices. The order of new complex H-matrices are 26,36, 50 and 82. Butson H-matrices are constructed from generalized
orthogonal matrices.
Keywords- H-matrices = Hadamard matrices, C-Matrix = Conference matrix