Complex synthetic method and system for physical and information signal canalizing

A method for canalizing and transferring a plurality of periodical physical signals represented in the time domain, t, by contemporary or not contemporary complex functions, SFl(t), with l=1, . . . L, and L is an integer number comprised in [1;

• ∞] each occupying an independent frequency band, e.g. BBl=[(f0-fBBl), f0], such as electrical, electromagnetic, gravitational wave, analog and/or digital, mechanical oscillations, pressure waves, optical signals, thermodynamic signals, into a single complex signal, resultant of L orthogonal components each l-th being in bijection with the respective SFl(t), correlated at a frequency f0 with a single occupied frequency bandwidth having width equal to the largest band among said bands BBl, BWRF=max[BBl], wherein the following steps are executed shown in the FIGS. 1 and 4:
• A. acquiring if required the physical signals SFl(t) and transforming them into electrical signals by means of one or more transducers;
• B. extracting from each electrical signal of the previous step the relevant information content as modulation function ml(t);
• C. performing the Fourier Transform of mi(t), obtaining the function ml(jΩ);
• D. generating, for each modulation function ml(jΩ), a corresponding periodic digital signal Pl(jΩ)=Sl(jΩ) having carrier frequency f0 and assigned modulation function ml(jΩ);
• E. generating, for each periodic digital signal Pl(jΩ), a pair of signals in quadrature;
• F. generating, for each pair of signals in quadrature of step E, K*M pairs of signals PPlkm(jΩ)=Sklm(jΩ), wherein Kand M are integer numbers comprised in [1;
• ∞] and k=1, . . . , K as well as m=1, . . . , M each pair being generated through the following steps performed subsequently in any order or at the same time:
• performing KAI chirp modulations, each characterized by a corresponding frequency increment Δflkm=[(l-1)+k/K](f0-fBBl), which is the same for each of the M with k varying, in a time interval ΔT=T0 at a clock frequency e.g. fc≥2LKM f0;
• performing M phase linear modulations for each of K chirp modulations;
• each of K*M phase linear modulations is characterized by a own phase increment Δϕ_lkm=[l-1)+l(k-1)/K+(lm/M)]2π with varying k and m, at a clock frequency e.g. fc≥2LKM f0;
• G. under sampling said pair of signals PPlkm(jΩ) at a frequency f0 thus obtaining a pair of canalized signals PP0lm(jΩ) which by construction have a spatial phase (3-D) orthogonal to each of the other (L * K*M-1) signal pairs and moreover they are correlated to f0;
• H. vector summing all the L*K*Mpairs of orthogonal PP0lm(jΩ) components thus obtaining a pair of LKM-dimension signals PP0(jΩ) occupying a frequency bandwidth BWRF≤f0;
• I. sending the LKM-dimensional signal PP0(jΩ) to a signals emitter-transducer tuned to f0;
• which performs whatever polarization.