eprintid: 657 rev_number: 8 eprint_status: archive userid: 4 dir: disk0/00/00/06/57 datestamp: 2014-11-06 09:16:39 lastmod: 2018-02-26 14:50:13 status_changed: 2014-11-06 09:16:39 type: monograph metadata_visibility: show creators_name: Poli, L. creators_name: Oliveri, G. creators_name: Viani, F. creators_name: Massa, A. title: A three-step inversion method based on compressive sensing for imaging sparse scatterers ispublished: pub subjects: MCS full_text_status: public monograph_type: technical_report keywords: Compressive Sensing, Inverse Scattering, Array Synthesis abstract: This report is aimed at validating an innovative and efficient procedure, still within the CSI probabilistic framework, able to reliably retrieve sparse complex current coefficients by enforcing the interrelationships between their real and imaginary components exploiting a multi-task approach. Towards this end, a set of numerical experiments are proposed, comparing the performance of the multi-task approach with the standard single-task version with uncorrelated coefficients associated to the real and imaginary part of the currents. date: 2014 publisher: U referencetext: [1] 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. [2] 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. [3] F. Viani, L. Poli, G. Oliveri, F. Robol, and A. Massa, "Sparse scatterers imaging through approximated multitask compressive sensing strategies," Microwave Opt. Technol. Lett., vol. 55, no. 7, pp. 1553-1558, Jul. 2013. [4] L. Poli, G. Oliveri, P. Rocca, and A. Massa, "Bayesian compressive sensing approaches for the recon- struction of two-dimensional sparse scatterers under TE illumination," IEEE Trans. Geosci. Remote Sensing, vol. 51, no. 5, pp. 2920-2936, May. 2013. [5] 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. [6] G. Oliveri, P. Rocca, and A. Massa, "A bayesian compressive sampling-based inversion for imaging sparse scatterers," IEEE Trans. Geosci. Remote Sensing, vol. 49, no. 10, pp. 3993-4006, Oct. 2011. [7] 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. [8] 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, Sept. 2013. [9] G. Oliveri and A. Massa, "Bayesian compressive sampling for pattern synthesis with maximally sparse non-uniform linear arrays," IEEE Trans. Antennas Propag., vol. 59, no. 2, pp. 467-481, Feb. 2011. [10] G. Oliveri, M. Carlin, and A. Massa, "Complex-weight sparse linear array synthesis by Bayesian Com- pressive Sampling," IEEE Trans. Antennas Propag., vol. 60, no. 5, pp. 2309-2326, May 2012. [11] G. Oliveri, P. Rocca, and A. Massa, "Reliable Diagnosis of Large Linear Arrays - A Bayesian Compressive Sensing Approach," IEEE Trans. Antennas Propag., vol. 60, no. 10, pp. 4627-4636, Oct. 2012. [12] F. Viani, G. Oliveri, and A. Massa, "Compressive sensing pattern matching techniques for synthesizing planar sparse arrays," IEEE Trans. Antennas Propag., vol. 61, no. 9, pp. 4577-4587, Sept. 2013. [13] G. Oliveri, E. T. Bekele, F. Robol, and A. Massa, "Sparsening conformal arrays through a versatile BCS-based method," IEEE Trans. Antennas Propag., vol. 62, no. 4, pp. 1681-1689, Apr. 2014. citation: Poli, L. and Oliveri, G. and Viani, F. and Massa, A. (2014) A three-step inversion method based on compressive sensing for imaging sparse scatterers. Technical Report. U. document_url: http://www.eledia.org/students-reports/657/1/A%20three-step%20inversion%20method%20based%20on%20compressive%20sensing%20for%20imaging%20sparse%20scatterers.pdf