Complex synthetic method and system for physical and information signal canalizing
OwnerFrancesco Romano, Valerio Romanoinventors
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Abstract
The present invention relates to a complex synthetic system and method, which original input from a plurality of independent non-orthogonal frequency signals with a frequency band not greater than any respective central frequency f0 allows to develop a resulting complex signal with a limited frequency band always not greater than f0, instead of band sum of the respective non-orthogonal independent bands. The resulting complex signal is the linear combination of a plurality of complex orthogonal signals with a limited frequency band less than f0, and each is in bijection with the independent non-orthogonal starting signals.
Claims13
A method for canalizing and transferring a plurality of input periodic physical signals represented in a time domain, t, by complex functions, SFl(t), with l=1, L, and L is an integer number comprised in [1;∞], each occupying an independent frequency band BBl=[(f0−fBBl),f0], wherein f0 is an upper limit of the frequency band and fBBl is a frequency smaller than f0, 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, where BWRF=max[BBl], the method comprising the following steps:
- acquiring the input periodic physical signals SFl(t) and transforming the physical signals into electrical signals via one or more transducers;
- extracting from each electrical signal information content as modulation function ml(t) having frequency bandwidth BBl;
- performing a Fourier Transform of ml(t), obtaining a function ml(jω);
- generating, for each function ml(jω), a corresponding periodic digital signal Pl(jω) having carrier frequency f0 and function ml(jω);
- generating for each periodic digital signal Pl(jω) a pair of signals in quadrature;
- generating for each pair of signals in quadrature K*M pairs of signals PPlkm(jω), wherein K and M are integer numbers comprised in [1;
- ∞] and k=1, . . . , K as well as m=1, . . . , M, each pair of signals being generated through the following steps:
- performing KM chirp modulations, each of the KM chirp modulations characterized by a corresponding frequency increment Δflkm=[(l−1)+k/K](f0−fBBl), which is the same for each of the M pairs with the same k, in a time interval ΔT=T0 at a clock frequency fck;
- performing M linear phase modulations for each of K chirp modulations, each of the K*M linear phase modulations characterized by a corresponding phase increment Δϕlkm=[(l−1)−l(k−1)/K+(lm/M)]2π at the clock frequency fck;
- under sampling each of K*M pairs 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 are correlated to f0;
- vector summing all the L*K*M pairs of orthogonal PP0lkm(jω) components thus obtaining a pair of LKM-dimensional signals PP0(jω) occupying a frequency bandwidth BWRF≤f0;
- and
- sending the pair of LKM-dimensional signals PP0(jω) to a signals emitter-transducer tuned to f0, which performs polarization.
A method for the extraction of a plurality of periodic physical signals represented in the time domain, t, by complex functions SFl(t), with l=1, L, and L is an integer number comprised in [1;∞], each of which occupies an independent frequency band BBl=[(f0−fBBl),f0], starting from a single complex signal PP0(jω) correlated to a frequency f0 occupying a frequency band BWRF whose width is equal to the largest band among said bands BBl, where BWRF=max[BBl], the method comprising the following steps:
- detecting via a sensor tuned to f0, which performs polarization, said single complex signal to obtain PP0(jω) being approximated as PP0(jω)=ΣLl=1ΣKk=1ΣMm=1 PPlkm(jω), wherein the PPlkm(jω) are orthogonal signals in quadrature;
- applying a complex correlation, at frequency f0, to the single complex signal detected by said sensor, thus obtaining LKM pairs of signals PP0lkm(jω);
- performing, for each value of l=1, . . . L, KM complex convolutions simultaneously, at a clock frequency fck, of each pair of signals PP0lkm(jω), the KM complex convolutions being configured to extract KM respective chirps with frequency shift Δflkm=[(l−1)+k/K](f0−fBBl) and an azimuth phase delay Δϕlkm=−l[1−(K−k)/K](m/M)2π, from said pair of signals PP0lkm(jω), in an interval T0, obtaining corresponding pairs of signals with k=1, . . . K and m=1, . . . M for each l, wherein K and M are integer numbers comprised in [1;
- ∞];
- summing the KM corresponding pairs of signals for each/value, obtaining independent modulation functions ml(jω) with/varying;
- performing a Fourier Anti-Transform of ml(jω) and thus obtaining corresponding time domain modulation functions ml(t);
- and
- transforming the time domain modulation functions ml(t) into complex functions SFl(t) by one or more transducers.
A non-transitory computer-readable medium comprising program instructions that, when executed by a computer processing device, causes the computer processing device to:
- extract information content from each electrical signal as time domain modulation function ml(t) having frequency bandwidth BBl;
- perform a Fourier Transform of ml(t), obtaining a modulation function ml(jω);
- generate, for each modulation function ml(jω), a corresponding periodic digital signal Pl(jω) having carrier frequency f0 and modulation function ml(jω);
- generate for each periodic digital signal Pl(jω), a pair of signals in quadrature;
- generate for each pair of signals in quadrature, K*M pairs of signals PPlkm(jω), wherein K and M are integer numbers comprised in [1;
- ∞] and k=1, . . . , K as well as m=1, . . . , M, each pair of signals being generated through the following steps:
- performing KM chirp modulations, each of the KM chirp modulations characterized by a corresponding frequency increment Δflkm=[(l−1)+k/K](f0−fBBl), which is the same for each of the M pairs with the same k, in a time interval ΔT=T0 at a clock frequency fck;
- performing M linear phase modulations for each of K chirp modulations, each of the K*M linear phase modulations characterized by a corresponding phase increment Δϕlkm=[(l−1)−l(k−1)/K+(lm/M)]2π at the clock frequency fck;
- under sample each 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 are correlated to f0;
- and
- vector sum all the L*K*M pairs of orthogonal PP0lkm (jω) components thus obtaining a pair of LKM-dimensional signals PP0(jω) occupying a frequency bandwidth BWRF≤f0.
A system for the canalization and/or extraction of a plurality of physical signals, wherein the system comprises:
- acquisition devices of a set of original physical signals;
- one or more transducers for the transformation of the set of original physical signals into electrical signals;
- a computerized sub-system to process said electrical signals to obtain one or more final electrical signals, the computerized sub-system configured to:
- extract from each electrical signal information content as time domain modulation function ml(t) having frequency bandwidth BBl;
- perform a Fourier Transform of ml(t), obtaining a modulation function ml(jω);
- generate, for each modulation function ml(jω), a corresponding periodic digital signal Pl(jω) having carrier frequency f0 and modulation function ml(jω);
- generate for each periodic digital signal Pl(jω), a pair of signals in quadrature;
- generate for each pair of signals in quadrature, K*M pairs of signals PPlkm(jω), wherein K and M are integer numbers comprised in [1;
- ∞] and k=1, . . . , K as well as m=1, . . . , M, each pair of signals being generated through the following steps:
- performing KM chirp modulations, each of the KM chirp modulations characterized by a corresponding frequency increment Δflkm=[(l−1)+k/K](f0−fBBl), which is the same for each of the M pairs with the same k, in a time interval ΔT=T0 at a clock frequency fck;
- performing M linear phase modulations for each of K chirp modulations, each of the K*M linear phase modulations characterized by a corresponding phase increment Δϕlkm=[(l−1)−l(k−1)/K+(lm/M)]2π at the clock frequency fck;
- under sample each 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 are correlated to f0;
- vector sum all the L*K*M pairs of orthogonal PP0lkm(jω) components thus obtaining a pair of LKM-dimensional signals PP0(jω) occupying a frequency bandwidth BWRF≤f0;
- one or more transducers for the transformation of said final electrical signals into one or more final physical signals;
- and
- emission devices for the emission of said one or more final physical signals.
Dependencies are inferred from the claim text.