eprintid: 386
rev_number: 4
eprint_status: archive
userid: 5
dir: disk0/00/00/03/86
datestamp: 2011-03-25
lastmod: 2013-07-02 11:31:15
status_changed: 2013-07-02 11:31:15
type: techreport
metadata_visibility: show
item_issues_count: 0
creators_name: Oliveri, Giacomo
creators_name: Donelli, Massimo
creators_name: Massa, Andrea
title: Linear Array Thinning Exploiting Almost Difference Sets
ispublished: pub
subjects: TU
full_text_status: public
keywords: Array Antennas, Thinned Arrays, Linear Arrays, Almost Difference Sets, Sidelobe Control
abstract: This paper describes a class of linear thinned arrays with predictable and well-behaved sidelobes. The element placement is based on almost difference sets and the array power pattern is forced to pass through N uniformly-spaced values that, although neither equal nor constant as for difference sets, are a-priori known from the knowledge of the aperture size, the number of active array elements K, and the features of the correlation function. Such a property allows one to predict the bounds of the confidence range of the peak sidelobe of the admissible arrays obtainable through simple shift operations on a binary sequence. The expected peak sidelobe performances turn out to be comparable with those from difference sets, even though obtainable in a wider set of array configurations, and improved in comparison with cut-and-try random-placements. (c) 2009 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: 2009-12
date_type: published
institution: University of Trento
department: informaticat
refereed: TRUE
referencetext: [1] 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. [2] 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. [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] 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. [5] K. C. Kerby and J. T. Bernhard, “Sidelobe level and wideband behavior of arrays of random subarrays,” IEEE Trans. Antennas Propag., vol. 54, no. 8, pp. 2253-2262, Aug. 2006. [6] 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. [7] R. L. Haupt, “Thinned arrays using genetic algorithms,” IEEE Trans. Antennas Propag., vol. 42, no. 7, pp. 993-999, Jul. 1994 [8] R. L. Haupt, D. H. Werner, Genetic algorithms in electromagnetics. Hoboken, NJ: Wiley, 2007. [9] D. S.Weile and E.Michielssen, “Integer-coded Pareto genetic algorithm design of antenna arrays,” Electron. Lett., vol. 32, pp. 1744-1745, 1996. [10] A. Trucco and V.Murino, “Stochastic optimization of linear sparse arrays,” IEEE J. Ocean Eng., vol. 24, no. 3, pp. 291-299, Jul. 1999. [11] 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. [12] D. G. Leeper, “Thinned periodic antenna arrays with improved peak sidelobe level control,” U.S. Patent 4071848, Jan. 31, 1978. [13] L. E. Kopilovich and L. G. Sodin, “Linear non-equidistant antenna arrays based on difference sets,” Sov. J. Commun. Technol. Electron., vol. 35, no. 7, pp. 42-49, 1990. [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] A. B. Carlson, P. B. Crilly, and J. C. Rutledge, Communication Systems. San Francisco: McGraw-Hill, 2001. [20] R. Blahut, “Transform techniques for error-control codes,” IBM J. Res. Develop., vol. 23, pp. 299-315, 1979. [21] M. Goresky, A. M. Klapper, and L. Washington, “Fourier transforms and the 2-adic span of periodic binary sequences," IEEE Trans. Inf. Theory, vol. 46, no. 2, pp. 687-691, Mar 2000. [22] ELEDIA Almost Difference Set Repository (http://www.ing.unitn.it/~eledia/html/ ).
citation:   Oliveri, Giacomo and Donelli, Massimo and Massa, Andrea  (2009) Linear Array Thinning Exploiting Almost Difference Sets.  [Technical Report]     
document_url: http://www.eledia.org/students-reports/386/1/DISI-11-016.R175.pdf