New Trends for Establish an Innovative Theoretical Approach Between a Train of Digital Pulses and a Set of Real Polynomials Using a Nonlinear Operator

The main purpose of this paper is to introduce an original theoretical approach for establish a one to one linear equivalence between a class of an arbitrary train of digital pulses with a class of real polynomials. This innovative technological modeling the authors will define as the polynomial signal processing, which can serve as an alternative approach for those systems that will demand the theoretical modeling using the digital signal processing, which is a very recognized tool that have been used for a wide class of communications systems in the current literature. We have a direct application of these studies for those analog or digital systems that demand a very high transmission rate, and some experimental results will be presented in this manuscript confirms that the approach presented for the first time in the current literature have a very consistent and compatible performance.