Electromagnetic detection of an embedded dielectric region within an ambient dielectric region
First Claim
1. A method of electromagnetically detecting an embedded dielectric region within a target object comprising the steps of:
- selecting a target object including a plurality of discrete scattering mediums, wherein said plurality of discrete scattering mediums include said embedded dielectric region and an adjacent dielectric region, and wherein said plurality of discrete scattering mediums define at least one dielectric interface between said embedded dielectric region and said adjacent dielectric region;
directing electromagnetic radiation at said target object, wherein said electromagnetic radiation is characterized by a diagnostic frequency that is varied incrementally over a diagnostic frequency band;
detecting electromagnetic radiation reflected by said target object over said predetermined frequency band such that there are M measurements of a reflected electromagnetic signal at frequencies f1, f2, . . . , fN, where M represents a number of scattering mediums within said target object and where N represents a number of diagnostic frequencies within said diagnostic frequency band;
constructing a correlation matrix representative of said reflected signal, wherein said correlation matrix comprises a number of signal eigenvectors and a number of noise eigenvectors;
decorrelating said correlation matrix bydividing said reflected signal according to frequency sub-bands within said diagnostic frequency band, wherein adjacent bands of said frequency sub-bands overlap,forming a series of iterated correlation matrices using signal eigenvectors and noise eigenvectors from each of said overlapping frequency sub-bands,forming a decorrelated matrix by averaging said iterated correlation matrices, wherein said decorrelated matrix comprises a finite group of signal eigenvectors and a finite group of noise eigenvectors; and
constructing a scattering signature of said target object from said finite group of signal eigenvectors, wherein said scattering signature is indicative of the properties of said embedded dielectric region and said adjacent dielectric region.
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Abstract
A system for and method of electromagnetically detecting an embedded dielectric region within a target object are provided. The method includes the steps of: (i) selecting a target object including a plurality of discrete scattering mediums, wherein the plurality of discrete scattering mediums include the embedded dielectric region and an adjacent dielectric region, and wherein the plurality of discrete scattering mediums define at least one dielectric interface between the embedded dielectric region and the adjacent dielectric region; (ii) directing electromagnetic radiation at the target object, wherein the electromagnetic radiation is characterized by a diagnostic frequency that is varied incrementally over a diagnostic frequency band; (iii) detecting electromagnetic radiation reflected by the target object over the predetermined frequency band such that there are M measurements of a reflected electromagnetic signal at frequencies f1, f2, . . . , fN, where M represents a number of scattering mediums within the target object and where N represents a number of diagnostic frequencies within the diagnostic frequency band; (iv) constructing a correlation matrix representative of the reflected signal, wherein the correlation matrix comprises a number of signal eigenvectors and a number of noise eigenvectors; (v) decorrelating the correlation matrix by dividing the reflected signal according to frequency sub-bands within the diagnostic frequency band, wherein adjacent bands of the frequency sub-bands overlap, forming a series of iterated correlation matrices using signal eigenvectors and noise eigenvectors from each of the overlapping frequency sub-bands, forming a decorrelated matrix by averaging the iterated correlation matrices, wherein the decorrelated matrix comprises a finite group of signal eigenvectors and a finite group of noise eigenvectors; and (vi) constructing a scattering signature of the target object from the finite group of signal eigenvectors, wherein the scattering signature is indicative of the properties of the embedded dielectric region and the adjacent dielectric region.
73 Citations
26 Claims
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1. A method of electromagnetically detecting an embedded dielectric region within a target object comprising the steps of:
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selecting a target object including a plurality of discrete scattering mediums, wherein said plurality of discrete scattering mediums include said embedded dielectric region and an adjacent dielectric region, and wherein said plurality of discrete scattering mediums define at least one dielectric interface between said embedded dielectric region and said adjacent dielectric region; directing electromagnetic radiation at said target object, wherein said electromagnetic radiation is characterized by a diagnostic frequency that is varied incrementally over a diagnostic frequency band; detecting electromagnetic radiation reflected by said target object over said predetermined frequency band such that there are M measurements of a reflected electromagnetic signal at frequencies f1, f2, . . . , fN, where M represents a number of scattering mediums within said target object and where N represents a number of diagnostic frequencies within said diagnostic frequency band; constructing a correlation matrix representative of said reflected signal, wherein said correlation matrix comprises a number of signal eigenvectors and a number of noise eigenvectors; decorrelating said correlation matrix by dividing said reflected signal according to frequency sub-bands within said diagnostic frequency band, wherein adjacent bands of said frequency sub-bands overlap, forming a series of iterated correlation matrices using signal eigenvectors and noise eigenvectors from each of said overlapping frequency sub-bands, forming a decorrelated matrix by averaging said iterated correlation matrices, wherein said decorrelated matrix comprises a finite group of signal eigenvectors and a finite group of noise eigenvectors; and constructing a scattering signature of said target object from said finite group of signal eigenvectors, wherein said scattering signature is indicative of the properties of said embedded dielectric region and said adjacent dielectric region. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)
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14. A system for electromagnetically detecting an embedded dielectric region within a target object, wherein the target object includes a plurality of discrete scattering mediums, wherein said plurality of discrete scattering mediums include said embedded dielectric region and an adjacent dielectric region, and wherein said plurality of discrete scattering mediums define at least one dielectric interface between said embedded dielectric region and said adjacent dielectric region, said system comprising:
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an electromagnetic radiation source configured to direct electromagnetic radiation at said target object, wherein said electromagnetic radiation is characterized by a diagnostic frequency that is varied incrementally over a diagnostic frequency band; an electromagnetic radiation detector configured to detect electromagnetic radiation reflected by said target object over said predetermined frequency band such that there are M measurements of a reflected electromagnetic signal at frequencies f1, f2, . . . , fN, where M represents a number of scattering mediums within said target object and where N represents a number of diagnostic frequencies within said diagnostic frequency band; and a data processor configured to construct a correlation matrix representative of said reflected signal, wherein said correlation matrix comprises a number of signal eigenvectors and a number of noise eigenvectors, decorrelate said correlation matrix by dividing said reflected signal according to frequency sub-bands within said diagnostic frequency band, wherein adjacent bands of said frequency sub-bands overlap, forming a series of iterated correlation matrices using signal eigenvectors and noise eigenvectors from each of said overlapping frequency sub-bands, and forming a decorrelated matrix by averaging said iterated correlation matrices, wherein said decorrelated matrix comprises a finite group of signal eigenvectors and a finite group of noise eigenvectors; and construct a scattering signature of said target object from said finite group of signal eigenvectors, wherein said scattering signature is indicative of the properties of said embedded dielectric region and said adjacent dielectric region. - View Dependent Claims (15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26)
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Specification