eprintid: 656 rev_number: 8 eprint_status: archive userid: 4 dir: disk0/00/00/06/56 datestamp: 2014-11-06 09:13:02 lastmod: 2018-02-26 14:45:13 status_changed: 2014-11-06 09:13:02 type: monograph metadata_visibility: show creators_name: Poli, L. creators_name: Oliveri, G. creators_name: Viani, F. creators_name: Massa, A. title: A minimum-norm current expansion method based on MT-BCS for inverting scattered data ispublished: pub subjects: MCS full_text_status: public monograph_type: technical_report keywords: Compressive Sensing, Inverse Scattering, Interval Analysis, Array Synthesis abstract: An innovative multi-step microwave imaging technique based on the multi-task Bayesian compressive sensing (MT–BCS) strategy is introduced in this report to image 2D-sparse dielectric profiles. The mathematical formulation of the minimum current approach is presented and some preliminary numerical results are proposed. date: 2014 publisher: University of Trento 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] 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. [4] 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. [5] 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. [6] 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. [7] P. Rocca, M. Carlin, L. Manica, and A. Massa, "Microwave imaging within the interval analysis frame- work," Progress in Electromagnetic Research, vol. 143, pp. 675-08, 2013. [8] P. Rocca, M. Carlin, G. Oliveri, and A. Massa, "Interval analysis as applied to inverse scattering," IEEE International Symposium on Antennas Propag. (APS/URSI 2013), Chicago, Illinois, USA, Jul. 8-14, 2012. [9] P. Rocca, M. Carlin, and A. Massa, "Imaging weak scatterers by means of an innovative inverse scattering technique based on the interval analysis," 6th European Conference on Antennas Propag. (EuCAP 2012), Prague, Czech Republic, Mar. 26-30, 2012. [10] 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. [11] 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. [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. citation: Poli, L. and Oliveri, G. and Viani, F. and Massa, A. (2014) A minimum-norm current expansion method based on MT-BCS for inverting scattered data. Technical Report. University of Trento. document_url: http://www.eledia.org/students-reports/656/1/A%20minimum-norm%20current%20expansion%20method%20based%20on%20MT-BCS%20for%20inverting%20scattered%20data.pdf