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The essential purpose of this paper is to present a compatibility between theoretical and experimental results that is possible to obtain if we have in our hands a powerful technique to interpret both classical analog as well as digital electromagnetic waveforms. At first we make a generalization on the theoretical technique introduced with the DNAx approach as well we check the compatibility between the mathematical analysis and the experimental results we obtain with the hardware implementation of the DNAx process.

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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 de¯ne analytically a wide class of important electromagnetic waves.

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The essential purpose of this paper is to present at first an innovative theoretical modeling for the generation of pulse level detectors that can be applied for the design of A/D converters. The main goal will be to establish some intrinsic properties of the main operator introduced previously by the authors, and its intrinsic characteristics for modeling the PWM−PPM effect, and later eliminating the PWM part of the pulse stream. An idea about how to implement this technological techniques inside a modern FPGA architecture is bestowed, which makes possible for the designer obtain the Pulse Point Modulation signal at the output ports of the electronic structure.

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.