A Contrast Source Inversion Algorithm Formulated Using the Log-Phase Formulation
The contrast source inversion (CSI) algorithm was introduced for microwave imaging in 1997 and has since proven to be one of the most successful algorithms for nonlinear microwave tomography. In the CSI algorithm, the nonlinear integral equation, which must be solved to extract the constitutive elec...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2011/849894 |
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| author | Tonny Rubæk Paul M. Meaney Keith D. Paulsen |
| author_facet | Tonny Rubæk Paul M. Meaney Keith D. Paulsen |
| author_sort | Tonny Rubæk |
| collection | DOAJ |
| description | The contrast source inversion (CSI) algorithm was introduced for microwave imaging in 1997 and has since proven to be one of the most successful algorithms for nonlinear microwave tomography. In the CSI algorithm, the nonlinear integral equation, which must be solved to extract the constitutive electromagnetic parameters of the object under test from the microwave measurements, is represented by two linear equations, known as the data and the object equations.
In this paper, the data equation in the CSI algorithm is reformulated using the so-called log-phase formulation. In this formulation, the measured data is represented by the change in the logarithm of the amplitude and the change in the unwrapped phase. This formulation has previously been applied for nonlinear tomography within the framework of a Gauss-Newton based algorithm for detection of breast cancer. Here, significant improvements have been observed compared to the more commonly used real-imaginary formulation. The modified CSI algorithm is tested on both
simulated data and on a measurement of a breast. It is shown that for imaging setups with large differences in the measured signals, the new formulation of the data equation significantly improves the performance of the CSI algorithm |
| format | Article |
| id | doaj-art-563b947ff44b4887b7a6e2fb0b40cb71 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-563b947ff44b4887b7a6e2fb0b40cb712025-02-03T05:50:21ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772011-01-01201110.1155/2011/849894849894A Contrast Source Inversion Algorithm Formulated Using the Log-Phase FormulationTonny Rubæk0Paul M. Meaney1Keith D. Paulsen2Division of Signal Processing and Biomedical Engineering, Department of Signals and Systems, Chalmers University of Technology, SE-412 96 Gothenburg, SwedenThayer School of Engineering, Dartmouth College, 8000 Cummings Hall, Hanover, NH 03755-8000, USAThayer School of Engineering, Dartmouth College, 8000 Cummings Hall, Hanover, NH 03755-8000, USAThe contrast source inversion (CSI) algorithm was introduced for microwave imaging in 1997 and has since proven to be one of the most successful algorithms for nonlinear microwave tomography. In the CSI algorithm, the nonlinear integral equation, which must be solved to extract the constitutive electromagnetic parameters of the object under test from the microwave measurements, is represented by two linear equations, known as the data and the object equations. In this paper, the data equation in the CSI algorithm is reformulated using the so-called log-phase formulation. In this formulation, the measured data is represented by the change in the logarithm of the amplitude and the change in the unwrapped phase. This formulation has previously been applied for nonlinear tomography within the framework of a Gauss-Newton based algorithm for detection of breast cancer. Here, significant improvements have been observed compared to the more commonly used real-imaginary formulation. The modified CSI algorithm is tested on both simulated data and on a measurement of a breast. It is shown that for imaging setups with large differences in the measured signals, the new formulation of the data equation significantly improves the performance of the CSI algorithmhttp://dx.doi.org/10.1155/2011/849894 |
| spellingShingle | Tonny Rubæk Paul M. Meaney Keith D. Paulsen A Contrast Source Inversion Algorithm Formulated Using the Log-Phase Formulation International Journal of Antennas and Propagation |
| title | A Contrast Source Inversion Algorithm Formulated Using the Log-Phase Formulation |
| title_full | A Contrast Source Inversion Algorithm Formulated Using the Log-Phase Formulation |
| title_fullStr | A Contrast Source Inversion Algorithm Formulated Using the Log-Phase Formulation |
| title_full_unstemmed | A Contrast Source Inversion Algorithm Formulated Using the Log-Phase Formulation |
| title_short | A Contrast Source Inversion Algorithm Formulated Using the Log-Phase Formulation |
| title_sort | contrast source inversion algorithm formulated using the log phase formulation |
| url | http://dx.doi.org/10.1155/2011/849894 |
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