eprintid: 456 rev_number: 6 eprint_status: archive userid: 5 dir: disk0/00/00/04/56 datestamp: 2011-06-30 lastmod: 2013-07-01 13:37:42 status_changed: 2013-07-01 13:37:42 type: techreport metadata_visibility: show item_issues_count: 0 creators_name: Oliveri, Giacomo creators_name: Manica, Luca creators_name: Massa, Andrea title: ADS-Based guidelines for thinned planar arrays ispublished: pub subjects: TU full_text_status: public keywords: Almost difference sets , array antennas , planar arrays , sidelobe level control , thinned arrays abstract: We propose an analytical technique based on almost difference sets (ADSs) for thinning planar arrays with well controlled sidelobes. The method allows one to synthesize bidimensional arrangements with peak sidelobe levels (PSLs) predictable and deducible from the knowledge of the array aperture, the filling factor, and the autocorrelation function of the ADS at hand. The numerical validation, concerned with both small and very large apertures, points out that the expected PSL values are significantly below those of random arrays and comparable with those from different sets (DSs) although obtainable in a wider range of configurations. “(c) 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.” date: 2011-01 date_type: published institution: University of Trento department: informaticat refereed: TRUE referencetext: [1] C. A. Balanis, Antenna Theory: Analysis and Design, 2nd ed. New York: Wiley, 1997. [2] Y. T. Lo, “A mathematical theory of antenna arrays with randomly spaced elements,” IEEE Trans. Antennas Propag., vol. 12, no. 3, pp. 257-268, May 1964. [3] B. Steinberg, “The peak sidelobe of the phased array having randomly located elements,” IEEE Trans. Antennas Propag., vol. 20, no. 2, pp. 129-136, Mar. 1972. [4] D. G. Leeper, “Thinned periodic antenna arrays with improved peak sidelobe level control,” U.S. Patent 4071848, Jan. 31, 1978. [5] R. L. Haupt, “Thinned arrays using genetic algorithms,” IEEE Trans. Antennas Propag., vol. 42, no. 7, pp. 993-999, Jul. 1994. [6] D. G. Leeper, “Isophoric arrays - massively thinned phased arrays with well-controlled sidelobes,” IEEE Trans. Antennas Propag., vol. 47, no. 12, pp. 1825-1835, Dec 1999. [7] S. Caorsi, A. Lommi, A. Massa, and M. Pastorino, “Peak sidelobe reduction with a hybrid approach based on GAs and difference sets,” IEEE Trans. Antennas Propag., vol. 52, no. 4, pp. 1116-1121, Apr. 2004. [8] R. L. Haupt and D. H. Werner, Genetic algorithms in electromagnetics. Hoboken, NJ: Wiley, 2007. [9] B. Steinberg, “Comparison between the peak sidelobe of the random array and algorithmically designed aperiodic arrays,” IEEE Trans. Antennas Propag., vol. 21, no. 3, pp. 366-370, May 1973. [10] S. Holm, B. Elgetun, and G. Dahl, “Properties of the beampattern of weight- and layoutoptimized sparse arrays,” IEEE Trans. Ultrason., Ferroelectr., Freq. Control, vol. 44, no. 5, pp. 983-991, Sep. 1997. [11] T. G. Spence, D. H. Werner, “Thinning of aperiodic antenna arrays for low side-lobe levels and broadband operation using genetic algorithms,” IEEE Antennas and Propagation Society International Symposium 2006, pp. 2059-2062, 9-14 July 2006. [12] A. Trucco and V. Murino, “Stochastic optimization of linear sparse arrays,” IEEE J. Ocean Eng., vol. 24, no. 3, pp. 291-299, Jul. 1999. [13] A. Trucco, “Thinning and weighting of large planar arrays by simulated annealing,” IEEE Trans. Ultrason., Ferroelectr., Freq. Control, vol. 46, no. 2, pp. 347-355, Mar. 1999. [14] L. E. Kopilovich, “Square array antennas based on hadamard difference sets,” IEEE Trans. Antennas Propag., vol. 56, no. 1, pp. 263-266, Jan. 2008. [15] La Jolla Cyclic Difference Set Repository (http://www.ccrwest.org/diffsets.html). [16] C. Ding, T. Helleseth, and K. Y. Lam, “Several classes of binary sequences with three-level autocorrelation,” IEEE Trans. Inf. Theory, vol. 45, no. 7, pp. 2606-2612, Nov. 1999. [17] K. T. Arasu, C. Ding, T. Helleseth, P. V. Kumar, and H. M. Martinsen, “Almost difference sets and their sequences with optimal autocorrelation,” IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 2934-2943, Nov 2001. [18] Y. Zhang, J. G. Lei, and S. P. Zhang, “A new family of almost difference sets and some necessary conditions,” IEEE Trans. Inf. Theory, vol. 52, no. 5, pp. 2052-2061, May 2006. [19] ELEDIA Almost Difference Set Repository (http://www.ing.unitn.it/~eledia/html/). [20] G. Oliveri, M. Donelli, and A. Massa, “Linear array thinning exploiting almost difference sets," IEEE Trans. Antennas Propag., revised. [21] M. I. Kargapolov and J. I. Merzljako, Fundamentals of the Theory of Groups. New York: Springer-Verlag, 1979. [22] J. G. Proakis and D. G. Manolakis, Digital Signal Processing: Principles, Algorithms, and Applications, 3nd ed. London: Prentice Hall, 1996. [23] M. Donelli, A. Martini, and A. Massa, “A hybrid approach based on PSO and Hadamard difference sets for the synthesis of square thinned arrays,” IEEE Trans. Antennas Propag. (in press). citation: Oliveri, Giacomo and Manica, Luca and Massa, Andrea (2011) ADS-Based guidelines for thinned planar arrays. [Technical Report] document_url: http://www.eledia.org/students-reports/456/1/DISI-11-091-R187.pdf