An Innovative Direct and Reciprocal Theoretical Modeling for Digital and Analog Waves with Very High Computational Performance

The essential purpose of this paper is to introduce a direct and reciprocal theoretical and numerical approaches that can be used to represent some important digital as well as analog electromagnetic signals. For the direct case, the numerical process does not use any integral calculations as it appears in the definitions of the harmonic coefficients used in the classic and well-known Fourier series approach. For the reciprocal case, by using a small number of rectangular digital signals generated with the technique introduced in the first case, we can achieve an accurate precision in the process of convergence for the generation of an analog communication signal, by assuming an arbitrary AC signal as our reference. As a direct application, we introduce an efficient process that can be used for a wide class of digital modulations that have technological demand and are widely used by many electronic designers. To demonstrate some experimental results, we present the first architecture designed to check the original electromagnetic approach introduced in this paper with some experimental measurements. Recent advancements of this research have been performed constantly to check the efficiency of technological approach, with a set of consistent laboratorial measures which permit us to visualize the expressive reduction of the transmission rates for those digital systems that demand a high speed for their processing in the real time.