A new theoretical modeling for the Nyquist pulses processing used widely over communication channels for systems with high transmission rates

Abstract

This paper presents an innovative theoretic and numerical approach for modeling the classic pulse introduce by Nyquist, which is a very important a digital modulation that one of the main stakes of the area of digital signal processing. An appropriate revision over concept of Operational Window Aperture with the purpose to check our approach by applying it over the Raised Cosine pulse, and as a direct consequence will permit to reach our final objective. A complementary revision will be made over the new concept of a digital modulation introduced by the authors previously which was defined as the Rise Time Modulation (RTM) since part of this technological approach will be concerned in this paper. The technique adopted for modeling both full and half pulses can be applied for a wide class of digital transmission systems which demand an appropriate modeling for all communication channels. Some considerations will be performed to present a Nyquist pulse with distinct two roll off factors, that can results the optimization of the interference as well as the intrinsic noises that appear in those systems with a very high transmission rates.

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

“…This new parameter is totally in accordance with the Nyquist bandwidth criteria. 10,11 Many other electromagnetic e®ects can be analyzed with this theoretical approach, and one of the most important is concerned with a new formulation of a theorem similar to the classic Fourier series approximation. 8,9 For many years this was the unique main prop in the digital communication area which provided engineers with the fundamental principles involving the projects of the D=A electronic converters.…”

“…As a direct consequence, this technique permits us to de¯ne a linear transform that reduces a train pulse in a classical polynomial function and also does reciprocally. 10,11,19 These simple ideas discussed initially, are fundamental stakes in the construction of this new analytical approach. The numerical process of convergence adopted in this paper which is being introduced at this point in the current literature, involves an innovative technological approach which the authors de¯ne as the DNAx operator.…”

“…The numerical process of convergence adopted in this paper which is being introduced at this point in the current literature, involves an innovative technological approach which the authors de¯ne as the DNAx operator. [7][8][9][10][11] A continuous process of¯nding new applications for the technique introduced here is part of our work in progress.…”