A new theoretical approach for digital modulation used widely for systems with a very fast rise time

In this paper we would like to introduce a new theoretical approach for modeling an efficient digital modulation that can be used in many areas of the electrical engineering emphasis. By taking into account not only some of its intrinsic characteristics but also the very fast speed which can occurs in the numerical process of convergence for the response of the system, we can attribute for this new approach the name of Rise Time Modulation (RTM). A comparison with a well-known classic process to generate digital pulses introduced by Nyquist, which permit us to use this new technological technique for the modeling of any digital pulse and with a great accuracy in the numerical approach. The RTM pulse here introduced is a result of the proper manipulation over the parameters of the main operator, and it is important to emphasize that this does not require the usage of any passive or digital filters. In addition, the authors believe that this approach for digital modulation can provide a fundamental reference for what could be the 4th parameter available for modulation, side by side with the standard and principal ones: phase, amplitude and frequency. As one of our essential purpose we are strongly focused in to present a new theoretical concept used for all digital systems that have rigorous requirements with respect to their very fast time of response. The methodology here adopted has its main foundations built over the well-known approach of the roll off effect inserted in the theory of the Nyquist pulses, with direct application in the field of the telecommunication industries.