{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:46:30Z","timestamp":1760240790657,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2019,9,17]],"date-time":"2019-09-17T00:00:00Z","timestamp":1568678400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61402069"],"award-info":[{"award-number":["61402069"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"2017 Project of the Natural Science Foundation of Liaoning province","award":["20170540059"],"award-info":[{"award-number":["20170540059"]}]},{"name":"the General project of Liaoning education department in 2016","award":["2016J205"],"award-info":[{"award-number":["2016J205"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>As far as taking-away of the symmetry constraints is concerned, as a scientifically symmetry problem, the global synthesis for antenna arrays that produce the desired radiation pattern is also a highly nonlinear optimization issue in fact. Besides this, the built criteria offer the reasonable power patterns. The consequent synthesis could be implemented by looking for a nominal pattern. When the criteria are already sufficient, it can simply do the whole synthesis process. To utilize multiple antennae, a method to choose a transmit antenna for the linear dispersion codes (LDC-TAS) is implemented in this paper. The authors used the max\u2013min-post- signal to noise ratio (SNR) criteria to select these optimal transmitting antennae while this dependent, linear receiver is applied to the varying and slow channel. The simulated results illustrate that this max\u2013min-post-SNR criterion outperforms the Bell Labs layered space time transmitting antenna selection (BLAST-TAS) applying the same spectral efficiency than space\u2013time block codes (STBC)-TAS in the environment with low SNR. Furthermore, once the M antennae are selected under the selection criteria, a max\u2013min-post-SNR rule, a novel linear antenna synthesis to linear dispersion codes on the basis of an innovative HYBRID (of mixed characters or solutions) genetic algorithm has been presented and evaluated to formulate and address the optimal problem to non-uniformly spaced and linear arrays. The restricted side-lobes level, the main-lobe width, and the shaped beam pattern are contemporarily concerned via maximizing a pretty suitable cost function through the innovational advanced genetic-algorithm-based algorithm. The method proposed in this paper can provide flexibility and a simple insertion of the a priori knowledge under a small computing pressure. At last, a computing simulation is completed well and the results are shown. It should be noticed that some extensions of the presented method could also be easily utilized without an obvious increase in the algorithm complexity.<\/jats:p>","DOI":"10.3390\/sym11091176","type":"journal-article","created":{"date-parts":[[2019,9,17]],"date-time":"2019-09-17T10:42:58Z","timestamp":1568716978000},"page":"1176","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A Novel Linear Antenna Synthesis for Linear Dispersion Codes Based on an Innovative HYBRID Genetic Algorithm"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0858-8895","authenticated-orcid":false,"given":"Jinpeng","family":"Wang","sequence":"first","affiliation":[{"name":"School of Information Science &amp; Engineering, Dalian Polytechnic University, Dalian 116034, China"},{"name":"School of Electronic, Electrical and Computer Engineering, the University of Western Australia, M350, Perth WA 6009 Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhengpeng","family":"Ye","sequence":"additional","affiliation":[{"name":"School of Information Science &amp; Engineering, Dalian Polytechnic University, Dalian 116034, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tarun","family":"M. Sanders","sequence":"additional","affiliation":[{"name":"School of Electronic, Electrical and Computer Engineering, the University of Western Australia, M350, Perth WA 6009 Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Li","sequence":"additional","affiliation":[{"name":"School of Information Science &amp; Engineering, Dalian Polytechnic University, Dalian 116034, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nianyu","family":"Zou","sequence":"additional","affiliation":[{"name":"School of Information Science &amp; Engineering, Dalian Polytechnic University, Dalian 116034, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,9,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Santhanam, T., and Padmavathi, M.S. (2014, January 27\u201329). Comparison of K-Means clustering and statistical outliers in reducing medical datasets. Proceedings of the IEEE International Conference on Science, Engineering and Management Research (ICSEMR), Chennai, India.","DOI":"10.1109\/ICSEMR.2014.7043602"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1016\/j.knosys.2016.06.029","article-title":"Quasi-Affine, Transformation Evolutionary (QUATRE) algorithm: A cooperative swarm based algorithm for global optimization","volume":"109","author":"Zhenyu","year":"2016","journal-title":"Knowl. Based Syst."},{"key":"ref_3","first-page":"1221","article-title":"Study on downlink performance of multiple access algorithm based on antenna diversity","volume":"9","author":"Jinpeng","year":"2015","journal-title":"ICIC Express Lett."},{"key":"ref_4","first-page":"4042","article-title":"A medical decision support system based on genetic algorithm and least square support vector machine for diabetes disease diagnosis","volume":"3","author":"Aishwarya","year":"2014","journal-title":"Int. J. Eng. Sci. Res. Technol."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1804","DOI":"10.1109\/TIT.2002.1013127","article-title":"High-Rate codes that are linear in space and time","volume":"48","author":"Hassibi","year":"2002","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"723","DOI":"10.1049\/iet-map.2014.0418","article-title":"Uniform circular array pattern synthesis using second-order cone programming","volume":"9","author":"Dorsey","year":"2015","journal-title":"IET Microw. Antennas Propag."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1744","DOI":"10.1049\/el:19961174","article-title":"Integer coded Pareto genetic algorithm design of constrained antenna arrays","volume":"32","author":"Weile","year":"1996","journal-title":"Electron. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1109\/48.775291","article-title":"Stochastic optimization of linear sparse arrays","volume":"24","author":"Trucco","year":"1999","journal-title":"IEEE J. Ocean. Eng."},{"key":"ref_9","first-page":"533","article-title":"Multi-Hop Maimal Ratio Combining (MHMRC) diversity based on virtual cellular network","volume":"41","author":"Wang","year":"2011","journal-title":"J. Jilin Univ."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2169","DOI":"10.1109\/TAP.2006.877211","article-title":"A modified real GA for the sparse linear array synthesis with multiple constraints","volume":"54","author":"Chen","year":"2006","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_11","first-page":"272","article-title":"An efficient feature selection system to integrating SVM with genetic algorithm for large medical datasets","volume":"4","author":"RaviKumar","year":"2014","journal-title":"Int. J. Adv. Res. Comput. Sci. Softw. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1109\/TTE.2016.2628823","article-title":"Stabilizing periodic control of automated vehicle platoon with minimized fuel consumption","volume":"3","author":"Shengbo","year":"2017","journal-title":"IEEE Trans. Transp. Electr."},{"key":"ref_13","first-page":"2062","article-title":"Low complexity frequency domain iterative equalization based on minimum mean square error for single carrier systems","volume":"45","author":"Zou","year":"2015","journal-title":"Jilin Daxue Xuebao"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1109\/TVT.2003.808792","article-title":"Performance analysis of MIMO systems with antenna selection over quasi-static fading channels","volume":"52","author":"Ghrayeb","year":"2003","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_15","first-page":"1","article-title":"Weighted optimization-based distributed Kalman filter for nonlinear target tracking in collaborative sensor networks","volume":"1","author":"Chen","year":"2017","journal-title":"IEEE Trans. Cybern."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.procs.2015.03.185","article-title":"Application of K-Means and genetic algorithms for dimension reduction by integrating SVM for diabetes diagnosis","volume":"8","author":"Santhanam","year":"2015","journal-title":"Procedia Comput. Sci."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Chu, S.-C., Tsai, P.-W., and Pan, J.-S. (2006). Cat swarm optimization. PRICAI 2006: Trends in Artificial Intelligence, Springer.","DOI":"10.1007\/978-3-540-36668-3_94"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1109\/TBC.2015.2400822","article-title":"Invertible subset QC-LDPC codes for PAPR reduction of OFDM signals","volume":"61","author":"Su","year":"2015","journal-title":"IEEE Trans. Broadcast."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1825","DOI":"10.1109\/8.817659","article-title":"Isophoric arrays\u2014Massively thinned phased arrays with well-controlled sidelobes","volume":"47","author":"Leeper","year":"1999","journal-title":"IEEE Antennas Propag. Mag."},{"key":"ref_20","first-page":"28","article-title":"Correlation-Based attribute selection using genetic algorithm","volume":"4","author":"Tiwari","year":"2010","journal-title":"Int. J. Comput. Appl."},{"key":"ref_21","first-page":"51","article-title":"Prediction of heart disease using genetic algorithm for selection of optimal reduced set of attributes","volume":"1","author":"Ratnakar","year":"2013","journal-title":"Int. J. Adv. Comput. Eng. Netw."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2303","DOI":"10.1109\/TMC.2014.2384011","article-title":"Low-Overhead control channels in wireless networks","volume":"14","author":"Chai","year":"2015","journal-title":"IEEE Trans. Mob. Comput."},{"key":"ref_23","first-page":"301","article-title":"Multi carrier system joint receiving method based on MAI and ICI","volume":"41","author":"Wang","year":"2018","journal-title":"Jilin Daxue Xuebao"},{"key":"ref_24","unstructured":"Sumit, B., Praveen, P., and Pillai, G.N. (2008, January 22\u201324). SVM based decision support system for heart disease classification with integer-coded genetic algorithm to select critical features. Proceedings of the World Congress on Engineering and Computer Science, San Francisco, CA, USA."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"4310","DOI":"10.1109\/TVT.2014.2365195","article-title":"Tone reservation to minimize nonlinearity impact on OFDM signals","volume":"64","author":"Hu","year":"2015","journal-title":"IEEE Transp. Veh. Technol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1007\/s10916-014-0048-7","article-title":"A new data preparation method based on clustering algorithms for diagnosis systems of heart and diabetes diseases","volume":"38","author":"Yilmaz","year":"2014","journal-title":"J. Med. Syst."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1016\/j.cor.2016.11.009","article-title":"A hybrid genetic approach for solving an integrated multi-objective operating room planning and scheduling problem","volume":"87","author":"Guido","year":"2017","journal-title":"Comput. Oper. Res."},{"key":"ref_28","first-page":"218","article-title":"Hybrid carrier CDMA multi-antenna system based on weighted-type fractional fourier transform","volume":"43","author":"Qiu","year":"2013","journal-title":"Jilin Daxue Xuebao"},{"key":"ref_29","first-page":"395","article-title":"Solving the operating room scheduling problem with prioritized lists of patients","volume":"258","author":"Guillermo","year":"2016","journal-title":"ANN Oper. Res."},{"key":"ref_30","first-page":"1160","article-title":"Determination of optimal SVM parameters by using genetic algorithm\/particle swarm optimization","volume":"5","author":"Yuan","year":"2010","journal-title":"J. Comput."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1007\/978-3-642-14834-7_40","article-title":"Impact of K-Means on the performance of classifiers for labeled data","volume":"Volume 94","author":"Patil","year":"2010","journal-title":"International Conference on Contemporary Computing"},{"key":"ref_32","first-page":"1758","article-title":"Efficiency of K-Means and K-Medoids algorithms for clustering arbitrary data points","volume":"3","author":"Velmurugan","year":"2012","journal-title":"Int. J. Comput. Technol. Appl."},{"key":"ref_33","unstructured":"Chinneck, J.W. (2018, November 21). Practical Optimization: A Gentle Introduction. Available online: http:\/\/www.sce.carleton.ca\/faculty\/chinneck\/po\/Chapter20.pdf."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1457","DOI":"10.1016\/j.asoc.2010.04.017","article-title":"Clustered-Hybrid multilayer perceptron network for pattern recognition application","volume":"11","author":"Isa","year":"2011","journal-title":"Appl. Soft Comput."},{"key":"ref_35","first-page":"1797","article-title":"Classification of diabetes disease using support vector machine","volume":"3","author":"Chitra","year":"2013","journal-title":"Int. J. Eng. Res. Appl."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"2721","DOI":"10.1007\/s10916-011-9748-4","article-title":"Diagnosis of diabetes diseases using an Artificial Immune Recognition System2 (AIRS2) with fuzzy K-Nearest neighbor","volume":"36","author":"Chikh","year":"2012","journal-title":"J. Med. Syst."},{"key":"ref_37","first-page":"653","article-title":"Traffic flow prediction for road transportation networks with limited traffic data","volume":"16","author":"Abadi","year":"2015","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_38","first-page":"865","article-title":"Traffic flow prediction with big data: A deep learning approach","volume":"16","author":"Lv","year":"2015","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_39","first-page":"5101","article-title":"Theory modeling and application of an adaptive Kalman filter for short-term traffic flow prediction","volume":"9","author":"Zhang","year":"2012","journal-title":"J. Inf. Comput. Sci."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1016\/j.engappai.2009.09.015","article-title":"A hybrid neural network and ARIMA model for water quality time series prediction","volume":"23","author":"Faruk","year":"2010","journal-title":"Eng. Appl. Artif. Intell."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/j.knosys.2011.09.002","article-title":"Forecasting tourism demand based on empirical mode decomposition and neural network","volume":"26","author":"Chen","year":"2012","journal-title":"Knowl. Based Syst."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"1295","DOI":"10.1016\/j.jnca.2012.02.007","article-title":"Traffic congestion detection in large-scale scenarios using vehicle-to-vehicle communications","volume":"36","author":"Bauza","year":"2013","journal-title":"J. Netw. Comput. Appl."},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"De Ridder, K., Kumar, U., Lauwaet, D., Van Looy, S., and Lefebvre, W. (2013). Kalman filter-based air quality forecast adjustment. Air Pollution Modeling and Its Application XXII, Springer.","DOI":"10.1007\/978-94-007-5577-2_30"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"540","DOI":"10.1016\/j.aeue.2013.12.012","article-title":"Linear antenna array synthesis using cat swarm optimization","volume":"68","author":"Pappula","year":"2014","journal-title":"AEU Int. J. Electr. Commun."},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Basak, A., Pal, S., Das, S., Abraham, A., and Snasel, V. (2010, January 18\u201323). A modified invasive weed optimization algorithm for time-modulated linear antenna array synthesis. Proceedings of the IEEE Congress on Evolutionary Computation, Barcelona, Spain.","DOI":"10.1109\/CEC.2010.5586276"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"247","DOI":"10.2528\/PIER06072301","article-title":"Phase-Only and amplitude-phase only synthesis of dual-beam pattern linear antenna arrays using floating-point genetic algorithms","volume":"68","author":"Mahanti","year":"2007","journal-title":"Prog. Electromagn. Res."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1002\/mop.20853","article-title":"Genetic algorithm based design of a reconfigurable antenna array with discrete phase shifter","volume":"45","author":"Baskar","year":"2005","journal-title":"Microw. Opt. Technol. Lett."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1109\/MAP.2009.5162029","article-title":"Design and optimization of ESPAR antennas via impedance measurements and a genetic algorithm (antenna designer\u2019s notebook)","volume":"51","author":"Mitilineos","year":"2009","journal-title":"IEEE Antennas Propag. Mag."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1109\/MVT.2015.2508318","article-title":"Highly directional steerable antennas: High-gain antennas supporting user mobility or beam switching for reconfigurable backhauling","volume":"11","author":"Maltsev","year":"2016","journal-title":"IEEE Veh. Technol. Mag."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"1282","DOI":"10.1049\/el.2016.1290","article-title":"Fixed frequency broadside-endfire beam steerable antennas","volume":"21","author":"Majumdar","year":"2016","journal-title":"Electr. Lett."},{"key":"ref_51","doi-asserted-by":"crossref","unstructured":"Zhang, J., Wang, J., and Zhang, S. (2017). Pseudorange measurement method based on AIS signals. Sensors, 5.","DOI":"10.3390\/s17051183"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/9\/1176\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:20:54Z","timestamp":1760188854000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/9\/1176"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,17]]},"references-count":51,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2019,9]]}},"alternative-id":["sym11091176"],"URL":"https:\/\/doi.org\/10.3390\/sym11091176","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2019,9,17]]}}}