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Recent Advances in Communications and Networking Technology (Discontinued)

Editor-in-Chief

ISSN (Print): 2215-0811
ISSN (Online): 2215-082X

Review Article

An Expansion for Simplex Signaling

Author(s): Reza Dianat

Volume 5, Issue 1, 2016

Page: [3 - 8] Pages: 6

DOI: 10.2174/2215081105666160617092419

Price: $65

Abstract

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, trellis-coded modulations.

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