Nonlinear blind demixing of single pixel underlying radiation sources and digital spectrum local thermometer
First Claim
1. A non-transitory computer-readable medium storing a program determining uniquely underlying sources forming a source vector S=(S1, S2, . . . ) propagating through a nonlinear mixing medium of a constant temperature, open equilibrium system by measuring multiple radiation components forming a data vector X=(X1, X2, . . . ) per single subscript pixel, the program when executed by a computer processor executes steps comprising:
- measuring the data vector X;
applying a constraint to the open equilibrium system such that thermal diffusion of the open equilibrium system is constrained isothermally at an equilibrium free energy, wherein the equilibrium free energy is Helmholtz free energy H=E−
TS, wherein E is internal energy, T is equilibrium medium temperature, and S is classical Shannon information theory entropy;
defining a state of the open equilibrium system by a feed-forward first order error energy E(X/S)=μ
{g([W]X)−
S}, wherein μ
is a Lagrange constraint vector and [W] is a feed-forward matrix;
reducing the feed-forward first order error energy E(X/S) to a second order Least Mean Square (LMS) error energy for a specific Lagrange constraint vector μ
; and
determining and providing, from among all possible vector sources S=(S1, S2, . . . ), a singular vector source that satisfies minimum value of the Helmholtz free enemy H for a heat transport mixing matrix [A] and smooth nonlinearity g such that;
X=g−
1{[A]S}, wherein [A] is an inverse of the feed-forward matrix [W].
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Abstract
Changes, increase or decrease, in the body fluid are passively detected by using a single pixel, non-linear blind de-mixing procedure, which can be extended to general biomedical measurement and diagnosis instruments. More specifically, the single pixel, non-linear blind de-mixing procedure in applied on the hot spots of rheumatic arthritis or breast cancer detection problem using passive two-color infrared imaging, as well as to passively detect blockages in the body fluid circulatory system that might be of importance for coronary artery bypass surgery, diabetes and deep vein thrombosis. Other applications of the mentioned algorithm include a pair of cameras for video, a pair of antennas for cell phones, and in situ data gathering or imaging using multiple mode fiber-optical sensing, as well as selective amplification hearing aids through two-ear binaural processing for de-noise echo cancellation and signal classification.
40 Citations
5 Claims
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1. A non-transitory computer-readable medium storing a program determining uniquely underlying sources forming a source vector S=(S1, S2, . . . ) propagating through a nonlinear mixing medium of a constant temperature, open equilibrium system by measuring multiple radiation components forming a data vector X=(X1, X2, . . . ) per single subscript pixel, the program when executed by a computer processor executes steps comprising:
-
measuring the data vector X; applying a constraint to the open equilibrium system such that thermal diffusion of the open equilibrium system is constrained isothermally at an equilibrium free energy, wherein the equilibrium free energy is Helmholtz free energy H=E−
TS, wherein E is internal energy, T is equilibrium medium temperature, and S is classical Shannon information theory entropy;defining a state of the open equilibrium system by a feed-forward first order error energy E(X/S)=μ
{g([W]X)−
S}, wherein μ
is a Lagrange constraint vector and [W] is a feed-forward matrix;reducing the feed-forward first order error energy E(X/S) to a second order Least Mean Square (LMS) error energy for a specific Lagrange constraint vector μ
; anddetermining and providing, from among all possible vector sources S=(S1, S2, . . . ), a singular vector source that satisfies minimum value of the Helmholtz free enemy H for a heat transport mixing matrix [A] and smooth nonlinearity g such that;
X=g−
1{[A]S}, wherein [A] is an inverse of the feed-forward matrix [W]. - View Dependent Claims (2, 3, 4, 5)
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Specification
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- Resources
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Current Assigneethe united states of america as represented by the secretary of the navy
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Original Assigneethe united states of america as represented by the secretary of the navy
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InventorsSzu, Harold H., Buss, James R., Kopriva, Ivica
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Primary Examiner(s)West, Jeffrey R
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Application NumberUS11/890,100Time in Patent Office1,771 DaysField of Search702/66, 702/130, 702/134, 702/136, 702/172, 702/196, 704/232US Class Current702/189CPC Class CodesA61B 5/0084 for introduction into the b...A61B 5/0086 using infrared radiationA61B 5/0091 for mammographyA61B 5/015 By temperature mapping of b...A61B 5/7267 involving training the clas...G06F 2218/22 Source localisation; Invers...G06T 7/0012 Biomedical image inspectionG16H 50/70 for mining of medical data,...
