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Abstrakty
An optimization method based on compressed sensing is proposed for uniformly excited linear or planar antenna arrays to perturb excitation of the minimum number of array elements in such a way that the required number of nulls is obtained. First, the spares theory is relied upon to formulate the problem and then the convex optimization approach is adopted to find the optimum solution. The optimization process is further developed by using iterative re-weighted l1- norm minimization, helping select the least number of the sparse elements and impose the required constraints on the array radiation pattern. Furthermore, the nulls generated are wide enough to cancel a whole specific sidelobe. Simulation results demonstrate the effectiveness of the proposed method and the required nulls are placed with a minimum number of perturbed elements. Thus, in practical implementations of the proposed method, a highly limited number of attenuators and phase shifters is required compared to other, conventional methods.
Rocznik
Tom
Strony
50--55
Opis fizyczny
Bibliogr. 33 poz., rys., tab.
Twórcy
autor
- College of Electronics Engineering, Ninevah University, Mosul, Iraq
autor
- College of Engineering, Mustansiriyah University, Baghdad, Iraq
autor
- College of Electronics Engineering, Ninevah University, Mosul, Iraq
- College of Engineering, Mustansiriyah University, Baghdad, Iraq
Bibliografia
- [1] M. Fakharzadeh, S. H. Jamali, P. Mousavi, and S. Safavi-Naeini, „Fast beamforming for mobile satellite receiver phased arrays: theory and experiment", IEEE Trans. Antennas Propag., vol. 57, no. 6, pp. 1645-1654, 2009 (DOI: 10.1109/TAP.2009.2019911).
- [2] Y. Dong, Z. Chen, P. Fan, and K. B. Letaief, „Mobility-aware uplink interference model for 5G heterogeneous networks", IEEE Trans. Wireless Commun., vol. 15, no. 3, pp. 2231-2244, 2016 (DOI: 10.1109/TWC.2015.2500566).
- [3] Z. Geng, H. Deng, and B. Himed, „Adaptive radar beamforming for interference mitigation in radar-wireless spectrum sharing", IEEE Signal Process. Letters, vol. 22, no. 4, pp. 484-488, 2015 (DOI: 10.1109/LSP.2014.2363585).
- [4] J. R. Mohammed, „Rectangular grid antennas with various Bondary square-rings array", Progress In Electromagnet. Res. Letters, vol. 96, pp. 27-36, 2021 (DOI: 10.2528/PIERL20112402).
- [5] J. R. Mohammed, „Obtaining wide steered nulls in linear array patterns by controlling the locations of two edge elements", AEU Int. J. of Electron. and Commun., vol. 101, pp. 145-151, 2019 (DOI: 10.1016/j.aeue.2019.02.004).
- [6] C. A. Balanis, Antenna Theory: Analysis and Design, Third Edition, Hoboken, New Jersey: John Wiley & Sons, 2005, pp. 385-424 (ISBN: 9780471667827).
- [7] W. P. M. N. Keizer, „Fast low sidelobe synthesis for large plan ar array antennas utilizing successive fast Fourier transforms of the array factor", IEEE Trans. Antennas Propag., vol. 55, no. 3, pp. 715-722, 2007 (DOI: 10.1109/TAP.2007.891511).
- [8] J. R. Mohammed and K. H. Sayidmarie, „Null steering method by controlling two elements", IET Microwaves, Antennas Propag., vol. 8, no. 15, pp. 1348-1355, 2014 (DOI: 10.1049/iet-map.2014.0213).
- [9] J. R. Mohammed and K. H. Sayidmarie, „Synthesizing asymmetric sidelobe pattern with steered nulling in non-uniformly excited linear arrays by controlling edge elements", Int. J. of Antennas and Propag., vol. 2017, 2017 (DOI: 10.1155/2017/9293031).
- [10] M. Dawoud and M. Nuruzzaman, „Null steering in rectangular planar arrays by amplitude control using genetic algorithms", Int. J. Electron., 2000, vol. 87, no. 12, pp. 1473-1484, 2010 (DOI: 10.1080/00207210050192498).
- [11] M. A. Mangoud and H. M. Elragal, „Antenna arrays pattern synthesis and wide null control using enhanced particle swarm optimization", Prog. in Electromag. Res. B, vol. 17, pp. 1-14, 2009 (DOI: 10.2528/PIERB09070205).
- [12] A. Trastoy and F. Ares, „Placing quasi-nulls in planar and conformal arrays", Electromagnetics, vol. 19, no. 4, pp. 373-383, 1999 (DOI: 10.1080/02726349908908654).
- [13] A. Slowik and H. Kwasnicka, „Evolutionary algorithms and their applications to engineering problems", Neural. Comput. Appl., vol. 32, no. 16, pp. 12363-12379, 2020 (DOI: 10.1007/s00521-020-04832-8).
- [14] J. R. Mohammed, „A new simple adaptive noise cancellation scheme based on ALE and NLMS filter", in Proc. 5th Annual Int. Conf. on Commun. Network and Service Res. (CNSR), Fredericton, New Brunswick, Canada, 2007, pp. 245-254 (DOI: 10.1109/CNSR.2007.4).
- [15] U. Singh and M. Rattan, „Design of linear and circular antenna arrays using Cuckoo optimization algorithm", Prog. in Electromag. Res. C, vol. 46, pp. 1-11, 2014 (DOI: 10.2528/PIERC13110902).
- [16] S. K. Mahto and A. Choubey, „A novel hybrid IWO/WDO algorithm for nulling pattern synthesis of uniformly spaced linear and non-uniform circular array antenna", AEU Int. J. of Electron. And Commun., vol. 70, no. 6, pp. 750-756, 2016 (DOI: 10.1016/j.aeue.2016.02.013).
- [17] P. Saxena and A. Kothari, „Optimal pattern synthesis of linear antenna array using Grey Wolf optimization algorithm", Int. J. Antennas Propag., vol. 2016, pp. 1-11, 2016 (DOI: 10.1155/2016/1205970).
- [18] A. J. Abdulkader, J. R. Mohammed, and R. H. Thaher, „Phase-only nulling with limited number of controllable side elements", Prog. In Electromag. Res. C, vol. 99, pp. 167-178, 2020 (DOI: 10.2528/PIERC20010203).
- [19] J. R. Mohammed, A. J. Abdulqader, and R. Hamdan, „Antenna pattern optimization via clustered arrays", Prog. in Electromag. Res. M, vol. 95, pp. 177-187, 2020 (DOI: 10.2528/PIERM20042307).
- [20] J. R. Mohammed, A. J. Abdulqader, and R. Hamdan, „Array pat tern recovery under amplitude excitation errors using clustered elements", Prog. In Electromag. Res. M, vol. 98, pp. 183-192, 2020 (DOI: 10.2528/PIERM20101906).
- [21] J. R. Mohammed, „Thinning a subset of selected elements for null steering using binary genetic algorithm", Prog. in Electromag. Res. M, vol. 67, pp. 147-155, 2018 (DOI: 10.2528/PIERM18021604).
- [22] J. R. Mohammed and K. H. Sayidmarie, „Performance evaluation of the adaptive sidelobe canceller with various auxiliary configurations", AEU Int. J. of Electron. and Commun., vol. 80, pp. 179-185, 2017 (DOI: 10.1016/j.aeue.2017.06.039).
- [23] A. Massa, P. Rocca, and G. Oliveri, „Compressive sensing in electromagnetics - a review", IEEE Antennas Propag. Mag., vol. 57, no. 1, pp. 224-238, 2015 (DOI: 10.1109/MAP.2015.2397092).
- [24] J. R. Mohammed, „High-resolution direction-of-arrival estimation method based on sparse arrays with minimum number of elements", J. of Telecommun. and Informat. Technol., vol. 1, pp. 8-14, 2021 (DOI: 10.26636/jtit.2021.143720).
- [25] F. Viani, G. Oliveri, and A. Massa, „Compressive sensing pat tern matching techniques for synthesizing planar sparse arrays", IEEE Trans. Antennas and Propag., vol. 6, no. 9, pp. 4577-4587, 2013 (DOI: 10.1109/TAP.2013.2267195).
- [26] J. Yang and Y. Zhang, „Alternating direction algorithms for ℓ1-problems in compressive sensing", SIAM J. on Scien. Comput., vol. 33, no. 1, pp. 250-278, 2011 (DOI: 10.1137/090777761).
- [27] H. Mohimani, M. Babaie-Zadeh, and C. Jutten, „A fast approach for over complete sparse decomposition based on smoothed norm", IEEE Trans. Signal Process., vol. 57, no. 1, pp. 289-301, 2009 (DOI: 10.1109/TSP.2008.2007606).
- [28] J. A. Tropp and A. C. Gilbert, „Signal recovery from random measurements via orthogonal matching pursuit", IEEE Trans. Inf. Theory, vol. 53, no. 12, pp. 4655-4666, 2007 (DOI: 10.1109/TIT.2007.909108).
- [29] F. Marvasti et al. „A unified approach to sparse signal processing", EURASIP J. Adv. Signal Process., vol. 2012, p. 44, 2012 (DOI: 10.1186/1687-6180-2012-44).
- [30] M. A. Abdelhay, N. O. Korany, and S. E. El-Khamy, „Synthesis of uniformly weighted sparse concentric ring arrays based on off-grid compressive sensing framework", IEEE Antenn. and Wireless Prop. Letters, vol. 20, no. 4, pp. 448-452, 2021 (DOI: 10.1109/LAWP.2021.3052174).
- [31] M. Khosravi, M. Fakharzadeh, and M. H. Bastani, „Large array null steering using compressed sensing", IEEE Sig. Process. Let., vol. 23, no. 8, pp. 1032-1036, 2016 (DOI: 10.1109/LSP.2016.2580587).
- [32] E. J. Candfies, M. B. Wakin, and S. P. Boyd, „Enhancing sparsity by reweighted ℓ1 minimization", J. Fourier Anal. Appl., vol. 14, no. 5, pp. 877-905, 2008 (DOI: 10.1007/s00041-008-9045-x).
- [33] M. Grant and S. Boyd, „CVX: Matlab software for disciplined convex programming, version 2.2", 2020 [Online]. Available: http://cvxr.com/cvx.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4de1d138-7df1-4e39-8764-2b02f17b74af