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Journal of Circuits, Systems, and Computers Vol. 23, No. 1 (2014) 1450014

An Original Accurate Theoretical and Numerical Approach to Redefine a Wide Class of Digital Signals:

The theoretical and numerical analysis proposed in this paper is totally original and the essential purpose is to introduce an innovative procedure to represent some of the more important digital communications signals by using a simple mathematical tool. All new analytical concepts presented here can be used as de¯nitions of these signals and the great improvement is the fact that we can manipulate all of them through some °exible as well as original mathematical operations. This theoretical technique permits us to represent all classic analogical waves by using periodic and non-periodic continuous functions such that they can be seen as a video color signal or a simple sequence of zeros and ones. By using a nonlinear operator, it is possible to define analytically a wide class of important electromagnetic waves.