An innovative numerical technique with high speed time processing for localize the zeros of a wide class of real polynomials. Direct applications for systems that demands the digital pulse position modulation
Robinson Gaudino Caputo, Gustavo Varella Figueiredo, M. Silveira · 2013
The essential purpose of this paper is to present at first an innovative mathematical method able to transform each real mathematical representation of a wide class of polynomials with an intrinsic sequence of zeros and ones that can be identified as digital streams. On this paper the authors will present an efficient way to localize the zeros of the continuous functions, which the numerical process of convergence is very different from all of the other ones that appears in most good references in the current literature. Some ideas with respect to the linear transformation that involves this new methodology mathematical operation and the one to one correspondence from the subset of continuous real functions ant the temporal domain also will be presented with the main focus to establish some results, which turns out from this identification. The ultimate benefit of this method is on compressing all digital information in the enlaces used currently in the area of digital signal processing. The core instrument to allow such transformations is the DNAx operator, created by the authors that are proving to be able to advance the field of engineering on communications, automation, encryption, and images among others.