eprintid: 719 rev_number: 10 eprint_status: archive userid: 4 dir: disk0/00/00/07/19 datestamp: 2017-02-02 16:30:56 lastmod: 2018-02-26 14:52:52 status_changed: 2017-02-02 16:30:56 type: monograph metadata_visibility: show creators_name: Tenuti, L. creators_name: Anselmi, N. creators_name: Rocca, P. creators_name: Salucci, M. creators_name: Massa, A. title: A Minkowski Interval Analysis Sensitivity Tool for Analyzing the Impact of Amplifiers Tolerances in Planar Arrays ispublished: pub subjects: AWC subjects: MAT full_text_status: public monograph_type: technical_report keywords: Antenna Arrays, Planar Antennas, Sensitivity Analysis, Antenna Uncertainties, Interval Analysis, Minkowski Sum, Amplitude Tolerance abstract: some deviations can be observed on the nominal value of amplifiers used in the beamforming network of planar arrays. As a consequence, the radiated pattern may differ from the expected one, and the overall system performances can undergo a certain performance degradation. In this document, an interval analysis (IA)-based sensitivity tool is proposed to mathematically derive bounds on the radiated field by planar arrangements starting from the tolerances of the amplifiers of the control points. The developed approach is based on the Minkowski sum, rather than on standard Cartesian arithmetic. Some numerical results are shown, to prove the effectiveness of the Minkowski IA tool in estimating narrower pattern bounds than the standard Cartesian IA. date: 2017 publisher: University od Trento referencetext: [1] N. Anselmi, P. Rocca, M. Salucci, and A. Massa, "Optimization of excitation tolerances for robust beamforming in linear arrays," IET Microw. Antennas Propag., vol. 10, no. 2, pp. 208-214, 2016. [2] P. Rocca, G. Oliveri, R. J. Mailloux, and A. Massa, "Unconventional phased array architectures and design Methodologies - A review," Proc. IEEE, vol. 104, no. 3, pp. 544-560, Mar. 2016. [3] 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. [4] L. Poli, P. Rocca, N. Anselmi, and A. Massa, "Dealing with uncertainties on phase weighting of linear antenna arrays by means of interval-based tolerance analysis," IEEE Trans. Antennas Propag., vol. 63, no. 7, pp. 3299-3234, Jul. 2015. [5] P. Rocca, N. Anselmi, and A. Massa, "Optimal synthesis of robust beamformer weights exploiting interval analysis and convex optimization," IEEE Trans. Antennas Propag., vol. 62, no. 7, pp. 3603-3612, Jul. 2014. [6] L. Manica, N. Anselmi, P. Rocca, and A. Massa, "Robust mask-constrained linear array synthesis through an interval-based particle swarm optimisation," IET Microw. Antennas Propag., vol. 7, no. 12, pp. 976-984, Sep. 2013. [7] N. Anselmi, L. Manica, P. Rocca, and A. Massa, "Tolerance analysis of antenna arrays through interval arithmetic," IEEE Trans. Antennas Propag., vol. 61, no. 11, pp. 5496-5507, Nov. 2013. [8] P. Rocca, L. Manica, N. Anselmi, and A. Massa, "Analysis of the pattern tolerances in linear arrays with arbitrary amplitude errors," IEEE Antennas Wireless Propag. Lett., vol. 12, pp. 639-642, 2013. [9] T. Moriyama, L. Poli, N. Anselmi, M. Salucci, and P. Rocca, "Real array pattern tolerances from amplitude excitation errors," IEICE Electron. Express, vol. 11, no. 17, pp. 1-8, Sep. 2014. [10] P. Rocca, N. Anselmi, and A. Massa, "Optimal synthesis of robust array configurations exploiting interval analysis and convex optimization," IEEE Trans. Antennas Propag., vol. 62, no. 7, pp. 3603-3612, Jul. 2014. [11] N. Anselmi, P. Rocca, M. Salucci, and A. Massa, "Power pattern sensitivity to calibration errors and mutual coupling in linear arrays through circular interval arithmetics," Sensors, vol. 16, no. 6 (791), pp. 1-14, 2016. [12] L. Tenuti, N. Anselmi, P. Rocca, M. Salucci, and A. Massa, "Minkowski sum method for planar arrays sensitivity analysis with uncertain-but-bounded excitation tolerances," IEEE Trans. Antennas Propag., vol. 65, no. 1, pp. 167-177, Jan. 2017. [13] P. Rocca, N. Anselmi, and A. Massa, "Interval Arithmetic for pattern tolerance analysis of parabolic reflectors," IEEE Trans. Antennas Propag., vol. 62, no. 10, pp. 4952-4960, Oct. 2014. [14] P. Rocca, L. Poli, N. Anselmi, M. Salucci, and A. Massa, "Predicting antenna pattern degradations in microstrip reflectarrays through interval arithmetic," IET Microw. Antennas Propag., vol. 10, no. 8, pp. 817-826, May 2016. [15] N. Anselmi, M. Salucci, P. Rocca, and A. Massa, "Generalized sensitivity analysis tool for pattern distortions in reflector antennas with bump-like surface deformations," IET Microw. Antennas Propag., vol. 10, no. 9, p. 909-916, Jun. 2016. citation: Tenuti, L. and Anselmi, N. and Rocca, P. and Salucci, M. and Massa, A. (2017) A Minkowski Interval Analysis Sensitivity Tool for Analyzing the Impact of Amplifiers Tolerances in Planar Arrays. Technical Report. University od Trento. document_url: http://www.eledia.org/students-reports/719/1/A%20Minkowski%20Interval%20Analysis%20Sensitivity%20Tool%20for%20Analyzing%20the%20Impact%20of%20Amplifiers%20Tolerances%20in%20Planar%20Arrays.pdf