Microwave Data Inversions Using the Source-Receiver Compression Scheme
We apply a source-receiver compression approach to reduce the computational time and memory usage of the nonlinear inversion approaches for interpreting three-dimensional microwave data. By detecting and quantifying the extent of redundancy in the data, we assemble a reduced set of simultaneous sour...
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Published in | IEEE transactions on antennas and propagation Vol. 60; no. 6; pp. 2853 - 2864 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
New York, NY
IEEE
01.06.2012
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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Abstract | We apply a source-receiver compression approach to reduce the computational time and memory usage of the nonlinear inversion approaches for interpreting three-dimensional microwave data. By detecting and quantifying the extent of redundancy in the data, we assemble a reduced set of simultaneous sources and receivers that are weighted sums of the physical sources and receivers employed in the measurement setup. Because the number of these simultaneous sources and receivers can be significantly less than those of the physical sources and receivers, the computational time and memory usage of any inversion method such as steepest-descent, nonlinear conjugate-gradient, contrast-source inversion, and quasi-Newton can be tremendously reduced. The scheme is based on decomposing the data into their principal components using a singular-value decomposition approach and the data compression is done through the elimination of eigenvectors corresponding to small eigenvalues. Consequently, this will also suppress the effect of noise in the data. As a concept demonstration we show that this approach has the potential of significantly reducing both computational time and memory usage of the Gauss-Newton inversion method by few orders of magnitude. |
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AbstractList | We apply a source-receiver compression approach to reduce the computational time and memory usage of the nonlinear inversion approaches for interpreting three-dimensional microwave data. By detecting and quantifying the extent of redundancy in the data, we assemble a reduced set of simultaneous sources and receivers that are weighted sums of the physical sources and receivers employed in the measurement setup. Because the number of these simultaneous sources and receivers can be significantly less than those of the physical sources and receivers, the computational time and memory usage of any inversion method such as steepest-descent, nonlinear conjugate-gradient, contrast-source inversion, and quasi-Newton can be tremendously reduced. The scheme is based on decomposing the data into their principal components using a singular-value decomposition approach and the data compression is done through the elimination of eigenvectors corresponding to small eigenvalues. Consequently, this will also suppress the effect of noise in the data. As a concept demonstration we show that this approach has the potential of significantly reducing both computational time and memory usage of the Gauss-Newton inversion method by few orders of magnitude. |
Author | Habashy, T. M. Abubakar, A. Pan, G. |
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Keywords | Signal compression inverse problem Compression Electromagnetism Quasi Newton method Redundancy Data compression Steepest descent method Gauss Newton method Conjugate gradient methods Nonlinear estimation Statistical method Computation time Three dimensional model Inverse problems three-dimensional electromagnetic Eigenvalues Eigenvectors Non linear processing microwave Principal component analysis Singular value decomposition |
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SubjectTerms | Algorithms Applied classical electromagnetism Compression Computation Data compression Data models Decomposition Eigenvalues and eigenfunctions electromagnetic Electromagnetic wave propagation, radiowave propagation Electromagnetism; electron and ion optics Equations Exact sciences and technology Fundamental areas of phenomenology (including applications) inverse problem Inversions Jacobian matrices Mathematical model microwave Microwaves Noise measurement Nonlinearity Physics Receivers Studies Three dimensional |
Title | Microwave Data Inversions Using the Source-Receiver Compression Scheme |
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