A set of M simplex signals is built from a set of M orthogonal signals by removal of the average
signal from each of the members of the set. It is known that the dimension of the space spanned
by the simplex signals is M-1 . In this article, a set of M-1 orthonormal basis functions is found for
the simplex signals. The basis functions are formed by projection of the orthogonal signals in the space
that is perpendicular to the average vector. The projected vectors are then orthogonalized by Gram-Schmidt technique and the outputs of Gram-Schmidt algorithm are the basis functions.
Keywords: DFT matrix, eigenvectors, gram-schmidt algorithm, orthogonal signaling, simplex signaling,
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