eprintid: 784 rev_number: 8 eprint_status: archive userid: 7 dir: disk0/00/00/07/84 datestamp: 2018-10-05 08:27:52 lastmod: 2018-10-05 08:27:52 status_changed: 2018-10-05 08:27:52 type: monograph metadata_visibility: show creators_name: Oliveri, G. creators_name: Salucci, M. creators_name: Anselmi, N. title: Innovative Bayesian Compressive Sensing Microwave Imaging with Matrix Completion ispublished: pub subjects: AWC subjects: MCS full_text_status: public monograph_type: technical_report keywords: Born approximation (BA), Bayesian Compressive Sensing (BCS), Inverse Scattering (IS), Matrix Completion (MC) abstract: An innovative microwave imaging methodology to solve the inverse scattering problem in presence of sparse scatterers under the first order Born approximation (Born-I) is proposed. The developed approach is based on the effective integration of a single-task Bayesian compressive sensing (ST-BCS) solver with a customized matrix completion (MC) strategy. The BCS-MC is able to identify the "less reliable" solution coefficients and discard them, by successively competing the retrieved image with improved accuracy, especially when inverting highly blurred scattering data. Some numerical results are shown in order to verify the effectiveness of the proposed methodology under different operative conditions. date: 2018 publisher: ELEDIA Research Center - University of Trento referencetext: L. Poli, G. Oliveri, P. Rocca, and A. Massa, “Bayesian compressive sensing approaches for the reconstruction of two-dimensional sparse scatterers under TE illuminations,” IEEE Trans. Geosci. Remote Sens., vol. 51, no. 5, pp. 2920-2936, May 2013. G. Oliveri, M. Salucci, and N. Anselmi, "Tomographic imaging of sparse low-contrast targets in harsh environments through matrix completion," IEEE Trans. Microw. Theory Tech., vol. 66, no. 6, pp. 2714-2730, Jun. 2018. N. Anselmi, L. Poli, G. Oliveri, and A. Massa, "Iterative multi-resolution bayesian CS for microwave imaging," IEEE Trans. Antennas Propag., vol. 66, no. 7, pp. 3665-3677, Jul. 2018. G. Oliveri, M. Salucci, N. Anselmi, and A. Massa, "Compressive sensing as applied to inverse problems for imaging: theory, applications, current trends, and open challenges," IEEE Antennas Propag. Mag. - Special Issue on "Electromagnetic Inverse Problems for Sensing and Imaging," vol. 59, no. 5, pp. 34-46, Oct. 2017. N. Anselmi, G. Oliveri, M. A. Hannan, M. Salucci, and A. Massa, "Color compressive sensing imaging of arbitrary-shaped scatterers," IEEE Trans. Microw. Theory Techn., vol. 65, no. 6, pp. 1986-1999, Jun. 2017. N. Anselmi, G. Oliveri, M. Salucci, and A. Massa, "Wavelet-based compressive imaging of sparse targets," IEEE Trans. Antennas Propag., vol. 63, no. 11, pp. 4889-4900, Nov. 2015. G. Oliveri, N. Anselmi, and A. Massa, "Compressive sensing imaging of non-sparse 2D scatterers by a total-variation approach within the Born approximation," IEEE Trans. Antennas Propag., vol. 62, no. 10, pp. 5157-5170, Oct. 2014. L. Poli, G. Oliveri, and A. Massa, "Imaging sparse metallic cylinders through a Local Shape Function Bayesian Compressive Sensing approach," Journal of Optical Society of America A, vol. 30, no. 6, pp. 1261-1272, 2013. L. Poli, G. Oliveri, F. Viani, and A. Massa, "MT-BCS-based microwave imaging approach through minimum-norm current expansion," IEEE Trans. Antennas Propag., vol. 61, no. 9, pp. 4722-4732, Sep. 2013. L. Poli, G. Oliveri, and A. Massa, "Microwave imaging within the first-order Born approximation by means of the contrast-field Bayesian compressive sensing," IEEE Trans. Antennas Propag., vol. 60, no. 6, pp. 2865-2879, Jun. 2012. G. Oliveri, L. Poli, P. Rocca, and A. Massa, "Bayesian compressive optical imaging within the Rytov approximation," Optics Letters, vol. 37, no. 10, pp. 1760-1762, 2012. G. Oliveri, P. Rocca, and A. Massa, "A Bayesian compressive sampling-based inversion for imaging sparse scatterers," IEEE Trans. Geosci. Remote Sens., vol. 49, no. 10, pp. 3993-4006, Oct. 2011. G. Oliveri, M. Salucci, and A. Massa, "Synthesis of modular contiguously clustered linear arrays through a sparseness-regularized solver," IEEE Trans. Antennas Propag., vol. 64, no. 10, pp. 4277-4287, Oct. 2016. P. Rocca, M. A. Hannan, M. Salucci, and A. Massa, "Single-snapshot DoA estimation in array antennas with mutual coupling through a multi-scaling BCS strategy," IEEE Trans. Antennas Propag., vol. 65, no. 6, pp. 3203-3213, Jun. 2017. M. Salucci, A. Gelmini, L. Poli, G. Oliveri, and A. Massa, “Progressive compressive sensing for exploiting frequency-diversity in GPR imaging,” Journal of Electromagnetic Waves and Applications, vol. 32, no. 9, pp. 1164- 1193, 2018 (DOI: 10.1080/09205071.2018.1425160). citation: Oliveri, G. and Salucci, M. and Anselmi, N. (2018) Innovative Bayesian Compressive Sensing Microwave Imaging with Matrix Completion. Technical Report. ELEDIA Research Center - University of Trento. document_url: http://www.eledia.org/students-reports/784/1/Innovative%20Bayesian%20Compressive%20Sensing%20Microwave%20Imaging%20with%20Matrix%20Completion%20.pdf