A New Numerical Approach to Establish the Mapping between Time Domain Pulses and Classical Polynomials

Recently, some research were done with the final purpose to find a complete and innovative way to represent classical electromagnetic waves. With the continuous demand that we have been assisting around the world it is very important to discover new numerical processes to generate digital waveforms, which have an enormous importance for modern communication systems. In this paper, we present an original way to generate the classical pulse by using a numerical analytical approach, called the DNAx solver. This theoretical analysis permits to identify a sequence of bits by a particular polynomial and all linear algebraic operations needed for a train of pulses can be reduced in an equivalent operation inside the algebra of continuous real polynomials