{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:38:36Z","timestamp":1740123516271,"version":"3.37.3"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,6,19]],"date-time":"2021-06-19T00:00:00Z","timestamp":1624060800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,6,19]],"date-time":"2021-06-19T00:00:00Z","timestamp":1624060800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Multidim Syst Sign Process"],"published-print":{"date-parts":[[2022,3]]},"DOI":"10.1007\/s11045-021-00787-8","type":"journal-article","created":{"date-parts":[[2021,6,19]],"date-time":"2021-06-19T12:02:29Z","timestamp":1624104149000},"page":"17-37","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Direction of arrival (DOA) estimation with extended optimum co-prime sensor array (EOCSA)"],"prefix":"10.1007","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0886-6656","authenticated-orcid":false,"given":"Goudarz S.","family":"Moghadam","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aliasghar B.","family":"Shirazi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,6,19]]},"reference":[{"key":"787_CR1","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1186\/1687-6180-2014-148","volume":"1","author":"K Adhikari","year":"2014","unstructured":"Adhikari, K., Buck, J. R., & Wage, K. E. (2014). Extending coprime sensor arrays to achieve the peak side lobe height of a full uniform linear array. EURASIP Journal on Advances in Signal Processing, 1, 148.","journal-title":"EURASIP Journal on Advances in Signal Processing"},{"issue":"6","key":"787_CR2","doi-asserted-by":"publisher","first-page":"688","DOI":"10.1049\/iet-spr.2017.0252","volume":"12","author":"SA Alawsh","year":"2018","unstructured":"Alawsh, S. A., & Muqaibel, A. H. (2018). Multi-level prime array for sparse sampling. IET Signal Processing, 12(6), 688\u2013699.","journal-title":"IET Signal Processing"},{"key":"787_CR3","doi-asserted-by":"crossref","unstructured":"Aumann, H. M. (2010). A pattern synthesis technique for multiplicative arrays. In PIERS proceedings, Cambridge, USA (pp. 864\u2013867).","DOI":"10.2529\/PIERS091216085724"},{"issue":"11","key":"787_CR4","doi-asserted-by":"publisher","first-page":"1956","DOI":"10.1049\/iet-rsn.2018.5647","volume":"13","author":"W Baxter","year":"2019","unstructured":"Baxter, W., Nosrati, H., & Aboutanios, E. (2019). Coprime beamforming: Fast estimation of more sources than sensors. IET Radar, Sonar & Navigation, 13(11), 1956\u20131962.","journal-title":"IET Radar, Sonar & Navigation"},{"issue":"7","key":"787_CR5","doi-asserted-by":"publisher","first-page":"805","DOI":"10.1121\/1.1909060","volume":"29","author":"A Berman","year":"1957","unstructured":"Berman, A., & Clay, C. (1957). Theory of time-averaged-product arrays. The Journal of the Acoustical Society of America, 29(7), 805\u2013812.","journal-title":"The Journal of the Acoustical Society of America"},{"issue":"5","key":"787_CR6","doi-asserted-by":"publisher","first-page":"3843","DOI":"10.1121\/1.4988561","volume":"141","author":"V Chavali","year":"2017","unstructured":"Chavali, V., & Wage, K. E. (2017). Comparison of multiplicative and min processors for coprime and nested geometries using the Elba island data set. The Journal of the Acoustical Society of America, 141(5), 3843\u20133843.","journal-title":"The Journal of the Acoustical Society of America"},{"issue":"6","key":"787_CR7","doi-asserted-by":"publisher","first-page":"A2783","DOI":"10.1137\/141002062","volume":"37","author":"I Dassios","year":"2015","unstructured":"Dassios, I., Fountoulakis, K., & Gondzio, J. (2015). A preconditioner for a primal-dual Newton conjugate gradient method for compressed sensing problems. SIAM Journal on Scientific Computing, 37(6), A2783\u2013A2812.","journal-title":"SIAM Journal on Scientific Computing"},{"issue":"1","key":"787_CR8","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1007\/s00034-019-01183-1","volume":"39","author":"I Dassios","year":"2020","unstructured":"Dassios, I., Tzounas, G., & Milano, F. (2020). Participation factors for singular systems of differential equations. Circuits, Systems, and Signal Processing, 39(1), 83\u2013110.","journal-title":"Circuits, Systems, and Signal Processing"},{"key":"787_CR9","doi-asserted-by":"publisher","first-page":"556","DOI":"10.1016\/j.amc.2015.11.002","volume":"274","author":"IK Dassios","year":"2016","unstructured":"Dassios, I. K., & Szajowski, K. J. (2016). Bayesian optimal control for a non-autonomous stochastic discrete time system. Applied Mathematics and Computation, 274, 556\u2013564.","journal-title":"Applied Mathematics and Computation"},{"issue":"1","key":"787_CR10","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1049\/ip-f-1.1980.0002","volume":"127","author":"D Davies","year":"1980","unstructured":"Davies, D., & Ward, C. (1980). Low side lobe patterns from thinned arrays using multiplicative processing. IEE Proceedings F (Communications, Radar and Signal Processing), 127(1), 9\u201315.","journal-title":"IEE Proceedings F (Communications, Radar and Signal Processing)"},{"issue":"6","key":"787_CR11","doi-asserted-by":"publisher","first-page":"964","DOI":"10.1049\/iet-rsn.2016.0517","volume":"11","author":"G Di Martino","year":"2016","unstructured":"Di Martino, G., & Iodice, A. (2016). Passive beamforming with coprime arrays. IET Radar, Sonar & Navigation, 11(6), 964\u2013971.","journal-title":"IET Radar, Sonar & Navigation"},{"key":"787_CR12","unstructured":"Ingle, V., Kogon, S., & Manolakis, D. (2005). Statisical and adaptive signal processing. Artech."},{"key":"787_CR13","doi-asserted-by":"crossref","unstructured":"Kasilingam, D., & Shah, J. (2017). Antenna beamforming using multiplicative array processing. In 2017 IEEE international symposium on antennas and propagation & USNC\/URSI national radio science meeting (pp 1387\u20131388).","DOI":"10.1109\/APUSNCURSINRSM.2017.8072736"},{"key":"787_CR14","doi-asserted-by":"crossref","unstructured":"Liu, Y., & Buck, J. R. (2015). Detecting gaussian signals in the presence of interferers using the coprime sensor arrays with the min processor. In IEEE (pp. 370\u2013374).","DOI":"10.1109\/ACSSC.2015.7421150"},{"key":"787_CR15","doi-asserted-by":"crossref","unstructured":"Liu, Y., & Buck, J. R. (2016). Spatial spectral estimation using a coprime sensor array with the min processor. In Sensor array and multichannel signal processing workshop (SAM) (pp. 1\u20135). IEEE.","DOI":"10.1109\/SAM.2016.7569626"},{"issue":"1","key":"787_CR16","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1109\/TSP.2017.2762284","volume":"66","author":"Y Liu","year":"2018","unstructured":"Liu, Y., & Buck, J. R. (2018). Gaussian source detection and spatial spectral estimation using a coprime sensor array with the min processor. IEEE Transactions on Signal Processing, 66(1), 186\u2013199.","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"4","key":"787_CR17","first-page":"2109","volume":"139","author":"Y Liu","year":"2016","unstructured":"Liu, Y., Buck, J. R., & Bautista, R. (2016). Spatial power spectral estimation using coprime sensor array with the min processor. The Journal of the Acoustical Society of America, 139(4), 2109\u20132110.","journal-title":"The Journal of the Acoustical Society of America"},{"issue":"2","key":"787_CR18","doi-asserted-by":"publisher","first-page":"172","DOI":"10.1109\/TAP.1968.1139138","volume":"16","author":"A Moffet","year":"1968","unstructured":"Moffet, A. (1968). Minimum-redundancy linear arrays. IEEE Transactions on Antennas and Propagation, 16(2), 172\u2013175.","journal-title":"IEEE Transactions on Antennas and Propagation"},{"key":"787_CR19","doi-asserted-by":"crossref","unstructured":"Moghadam, G. S., & Shirazi, A. A. B. (2018a). Direction of arrival estimation with co-prime arrays based on multiplicative beamforming. In 2018 9th International symposium on telecommunications (IST) (pp. 501\u2013506).","DOI":"10.1109\/ISTEL.2018.8661061"},{"key":"787_CR20","doi-asserted-by":"crossref","unstructured":"Moghadam, G. S., & Shirazi, A. A. B. (2018b). A novel side lobe reduction algorithm based on null synthesis method under mainlobe perturbation minimization constraint for co-prime sensor array. In 2019 IEEE conference on knowledge based engineering and innovation (KBEI) (pp. 327\u2013331).","DOI":"10.1109\/KBEI.2019.8735080"},{"key":"787_CR21","doi-asserted-by":"crossref","unstructured":"Moghadam, G. S., & Shirazi, A. A. B. (2019a). Direction of arrival estimation with extended optimum co-prime sensor array. In 2019 IEEE Iranian conference on radar and surveillance systems (pp. 1\u20136).","DOI":"10.1109\/ICRSS48293.2019.9026546"},{"issue":"6","key":"787_CR22","doi-asserted-by":"publisher","first-page":"614","DOI":"10.1049\/iet-spr.2018.5517","volume":"13","author":"GS Moghadam","year":"2019","unstructured":"Moghadam, G. S., & Shirazi, A. B. (2019b). Novel method for digital beamforming in co-prime sensor arrays using product and min processors. IET Signal Process, 13(6), 614\u2013623.","journal-title":"IET Signal Process"},{"key":"787_CR23","doi-asserted-by":"publisher","first-page":"527","DOI":"10.1007\/s11045-019-00674-3","volume":"31","author":"GS Moghadam","year":"2019","unstructured":"Moghadam, G. S., & Shirazi, A. B. (2019c). Passive beamforming in co-prime sensor arrays using NSCB method under original pattern perturbations minimization. Multidimensional Systems and Signal Processing, 31, 527\u2013547.","journal-title":"Multidimensional Systems and Signal Processing"},{"issue":"8","key":"787_CR24","doi-asserted-by":"publisher","first-page":"4167","DOI":"10.1109\/TSP.2010.2049264","volume":"58","author":"P Pal","year":"2010","unstructured":"Pal, P., & Vaidyanathan, P. (2010). Nested arrays: A novel approach to array processing with enhanced degrees of freedom. IEEE Transactions on Signal Processing, 58(8), 4167\u20134181.","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"5","key":"787_CR25","doi-asserted-by":"publisher","first-page":"EL467","DOI":"10.1121\/1.5009112","volume":"142","author":"FS Rawnaque","year":"2017","unstructured":"Rawnaque, F. S., & Buck, J. R. (2017). Comparing the effect of aperture extension on the peak side lobe level of sparse arrays. The Journal of the Acoustical Society of America, 142(5), EL467\u2013EL472.","journal-title":"The Journal of the Acoustical Society of America"},{"key":"787_CR26","doi-asserted-by":"crossref","unstructured":"Tuncer, T. E., Yasar, T. K., & Friedlander, B. (2009). Narrowband and wideband DOA estimation for uniform and nonuniform linear arrays (pp. 125\u2013160). Elsevier.","DOI":"10.1016\/B978-0-12-374524-8.00002-7"},{"issue":"2","key":"787_CR27","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1109\/TSP.2010.2089682","volume":"59","author":"PP Vaidyanathan","year":"2011","unstructured":"Vaidyanathan, P. P., & Pal, P. (2011). Sparse sensing with co-prime samplers and arrays. IEEE Transactions on Signal Processing, 59(2), 573\u2013586.","journal-title":"IEEE Transactions on Signal Processing"},{"key":"787_CR28","doi-asserted-by":"crossref","unstructured":"Van Trees, H. L. (2002). Detection, estimation, and modulation theory, part 4, optimum array processing. Wiley.","DOI":"10.1002\/0471221104"},{"issue":"6","key":"787_CR29","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1049\/jbire.1959.0043","volume":"19","author":"V Welsby","year":"1959","unstructured":"Welsby, V., & Tucker, D. (1959). Multiplicative receiving arrays. Journal of the British Institution of Radio Engineers, 19(6), 369\u2013382.","journal-title":"Journal of the British Institution of Radio Engineers"}],"container-title":["Multidimensional Systems and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-021-00787-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11045-021-00787-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-021-00787-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,21]],"date-time":"2022-02-21T22:26:20Z","timestamp":1645482380000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11045-021-00787-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,19]]},"references-count":29,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,3]]}},"alternative-id":["787"],"URL":"https:\/\/doi.org\/10.1007\/s11045-021-00787-8","relation":{},"ISSN":["0923-6082","1573-0824"],"issn-type":[{"type":"print","value":"0923-6082"},{"type":"electronic","value":"1573-0824"}],"subject":[],"published":{"date-parts":[[2021,6,19]]},"assertion":[{"value":"30 October 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 June 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 June 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 June 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}