{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,26]],"date-time":"2025-09-26T00:07:08Z","timestamp":1758845228391,"version":"3.37.3"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2019,2,19]],"date-time":"2019-02-19T00:00:00Z","timestamp":1550534400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Wireless Pers Commun"],"published-print":{"date-parts":[[2019,5]]},"DOI":"10.1007\/s11277-019-06197-1","type":"journal-article","created":{"date-parts":[[2019,2,19]],"date-time":"2019-02-19T13:58:54Z","timestamp":1550584734000},"page":"927-954","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Robust Beamforming and Power Allocation in CR MISO Networks with SWIPT to Maximize the Minimum Achievable Rate"],"prefix":"10.1007","volume":"106","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7540-5366","authenticated-orcid":false,"given":"Mohsen","family":"Askari","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vahid Tabataba","family":"Vakili","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,2,19]]},"reference":[{"key":"6197_CR1","doi-asserted-by":"crossref","unstructured":"Varshney, L.\u00a0R. (2008). Transporting information and energy simultaneously. In IEEE International Symposium on Information Theory (pp. 1612\u20131616).","DOI":"10.1109\/ISIT.2008.4595260"},{"issue":"5","key":"6197_CR2","doi-asserted-by":"publisher","first-page":"2291","DOI":"10.1109\/TCOMM.2017.2676815","volume":"65","author":"G Pan","year":"2017","unstructured":"Pan, G., Lei, H., Yuan, Y., & Ding, Z. (2017). Performance analysis and optimization for swipt wireless sensor networks. IEEE Transactions on Communications, 65(5), 2291\u20132302.","journal-title":"IEEE Transactions on Communications"},{"issue":"2","key":"6197_CR3","doi-asserted-by":"publisher","first-page":"890","DOI":"10.1109\/TCOMM.2016.2631523","volume":"65","author":"MM Zhao","year":"2017","unstructured":"Zhao, M. M., Cai, Y., Shi, Q., Hong, M., & Champagne, B. (2017). Joint transceiver designs for full-duplex \n                    \n                      \n                    \n                    $$k$$\n                    \n                      \n                        k\n                      \n                    \n                   -pair mimo interference channel with swipt. IEEE Transactions on Communications, 65(2), 890\u2013905.","journal-title":"IEEE Transactions on Communications"},{"key":"6197_CR4","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.phycom.2018.04.024","volume":"29","author":"N Zhao","year":"2018","unstructured":"Zhao, N., & Chen, B. (2018). Joint optimization of power splitting and allocation for swipt in interference alignment networks. Physical Communication, 29, 67\u201377.","journal-title":"Physical Communication"},{"issue":"5","key":"6197_CR5","doi-asserted-by":"publisher","first-page":"1989","DOI":"10.1109\/TWC.2013.031813.120224","volume":"12","author":"R Zhang","year":"2013","unstructured":"Zhang, R., & Ho, C. K. (2013). Mimo broadcasting for simultaneous wireless information and power transfer. IEEE Transactions on Wireless Communications, 12(5), 1989\u20132001.","journal-title":"IEEE Transactions on Wireless Communications"},{"key":"6197_CR6","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/j.phycom.2018.03.001","volume":"28","author":"X Zhou","year":"2018","unstructured":"Zhou, X., Cai, W., Chen, R., Gui, L., Shu, F., Lin, J., et al. (2018). Secrecy energy efficiency optimization for miso swipt systems. Physical Communication, 28, 19\u201327.","journal-title":"Physical Communication"},{"issue":"4","key":"6197_CR7","doi-asserted-by":"publisher","first-page":"372","DOI":"10.1109\/WCL.2012.053112.120212","volume":"1","author":"Z Xiang","year":"2012","unstructured":"Xiang, Z., & Tao, M. (2012). Robust beamforming for wireless information and power transmission. IEEE Wireless Communications Letters, 1(4), 372\u2013375.","journal-title":"IEEE Wireless Communications Letters"},{"issue":"3","key":"6197_CR8","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1109\/TGCN.2017.2706063","volume":"1","author":"TA Le","year":"2017","unstructured":"Le, T. A., Vien, Q. T., Nguyen, H. X., Ng, D. W. K., & Schober, R. (2017). Robust chance-constrained optimization for power-efficient and secure swipt systems. IEEE Transactions on Green Communications and Networking, 1(3), 333\u2013346.","journal-title":"IEEE Transactions on Green Communications and Networking"},{"issue":"11","key":"6197_CR9","doi-asserted-by":"publisher","first-page":"4754","DOI":"10.1109\/TCOMM.2013.13.120855","volume":"61","author":"X Zhou","year":"2013","unstructured":"Zhou, X., Zhang, R., & Ho, C. K. (2013). Wireless information and power transfer: Architecture design and rate-energy tradeoff. IEEE Transactions on Communications, 61(11), 4754\u20134767.","journal-title":"IEEE Transactions on Communications"},{"key":"6197_CR10","doi-asserted-by":"publisher","first-page":"849","DOI":"10.1007\/s11265-018-1331-5","volume":"90","author":"Z Wen","year":"2018","unstructured":"Wen, Z., Li, S., Liu, X., Guo, Z., Xie, Z., & Xiang, W. (2018). Robust downlink beamforming for multiuser swipt systems with imperfect CSI. Journal of Signal Processing Systems, 90, 849\u2013855.","journal-title":"Journal of Signal Processing Systems"},{"key":"6197_CR11","doi-asserted-by":"publisher","first-page":"2407","DOI":"10.1007\/s11277-015-2355-9","volume":"82","author":"Q Li","year":"2015","unstructured":"Li, Q., Zhang, Q., & Qin, J. (2015). Optimal probabilistic robust beamforming for miso swipt systems with gaussian channel uncertainties. Wireless Personal Communications, 82, 2407\u20132415.","journal-title":"Wireless Personal Communications"},{"issue":"5","key":"6197_CR12","doi-asserted-by":"publisher","first-page":"3166","DOI":"10.1109\/TVT.2015.2436334","volume":"65","author":"DWK Ng","year":"2016","unstructured":"Ng, D. W. K., Lo, E. S., & Schober, R. (2016). Multiobjective resource allocation for secure communication in cognitive radio networks with wireless information and power transfer. IEEE Transactions on Vehicular Technology, 65(5), 3166\u20133184.","journal-title":"IEEE Transactions on Vehicular Technology"},{"issue":"4","key":"6197_CR13","doi-asserted-by":"publisher","first-page":"2450","DOI":"10.1109\/TWC.2017.2665465","volume":"16","author":"F Zhou","year":"2017","unstructured":"Zhou, F., Li, Z., Cheng, J., Li, Q., & Si, J. (2017). Robust an-aided beamforming and power splitting design for secure miso cognitive radio with swipt. IEEE Transactions on Wireless Communications, 16(4), 2450\u20132464.","journal-title":"IEEE Transactions on Wireless Communications"},{"issue":"6","key":"6197_CR14","doi-asserted-by":"publisher","first-page":"5475","DOI":"10.1109\/TVT.2017.2717495","volume":"67","author":"Y Yuan","year":"2018","unstructured":"Yuan, Y., & Ding, Z. (2018). Outage constrained secrecy rate maximization design with SWIPT in MIMO-CR systems. IEEE Transactions on Vehicular Technology, 67(6), 5475\u20135480.","journal-title":"IEEE Transactions on Vehicular Technology"},{"key":"6197_CR15","unstructured":"Bechar, I. (2009). A bernstein-type inequality for stochastic processes of quadratic forms of gaussian variables. \n                    arXiv:0909.3595\n                    \n                  ."},{"issue":"1","key":"6197_CR16","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1007\/BF01582887","volume":"52","author":"JP Crouzeix","year":"1991","unstructured":"Crouzeix, J. P., & Ferland, J. A. (1991). Algorithms for generalized fractional programming. Mathematical Programming, 52(1), 191\u2013207.","journal-title":"Mathematical Programming"},{"key":"6197_CR17","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1016\/j.aeue.2018.04.025","volume":"92","author":"M Askari","year":"2018","unstructured":"Askari, M., & Vakili, V. T. (2018). Maximizing the minimum achievable rates in cognitive radio networks subject to stochastic constraints. AEU - International Journal of Electronics and Communications, 92, 146\u2013156.","journal-title":"AEU - International Journal of Electronics and Communications"},{"issue":"7","key":"6197_CR18","doi-asserted-by":"publisher","first-page":"492","DOI":"10.1287\/mnsc.13.7.492","volume":"13","author":"W Dinkelbach","year":"1967","unstructured":"Dinkelbach, W. (1967). On nonlinear fractional programming. Management Science, 13(7), 492\u2013498.","journal-title":"Management Science"},{"issue":"6","key":"6197_CR19","doi-asserted-by":"publisher","first-page":"1115","DOI":"10.1145\/227683.227684","volume":"42","author":"MX Goemans","year":"1995","unstructured":"Goemans, M. X., & Williamson, D. P. (1995). Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. Journal of the ACM, 42(6), 1115\u20131145.","journal-title":"Journal of the ACM"},{"key":"6197_CR20","unstructured":"Grant, M., & Boyd, S. (2014). CVX: Matlab software for disciplined convex programming, version 2.1."},{"key":"6197_CR21","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718829","author":"A Ben-Tal","year":"2001","unstructured":"Ben-Tal, A., & Nemirovski, A. (2001). Lectures on modern convex optimization. Society for Industrial and Applied Mathematics. \n                    https:\/\/doi.org\/10.1137\/1.9780898718829\n                    \n                  .","journal-title":"Society for Industrial and Applied Mathematics"},{"issue":"21","key":"6197_CR22","doi-asserted-by":"publisher","first-page":"5690","DOI":"10.1109\/TSP.2014.2354312","volume":"62","author":"KY Wang","year":"2014","unstructured":"Wang, K. Y., So, A. M. C., Chang, T. H., Ma, W. K., & Chi, C. Y. (2014). Outage constrained robust transmit optimization for multiuser miso downlinks: Tractable approximations by conic optimization. IEEE Transactions on Signal Processing, 62(21), 5690\u20135705.","journal-title":"IEEE Transactions on Signal Processing"}],"container-title":["Wireless Personal Communications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11277-019-06197-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11277-019-06197-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11277-019-06197-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,18]],"date-time":"2020-02-18T19:11:00Z","timestamp":1582053060000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11277-019-06197-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,19]]},"references-count":22,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,5]]}},"alternative-id":["6197"],"URL":"https:\/\/doi.org\/10.1007\/s11277-019-06197-1","relation":{},"ISSN":["0929-6212","1572-834X"],"issn-type":[{"type":"print","value":"0929-6212"},{"type":"electronic","value":"1572-834X"}],"subject":[],"published":{"date-parts":[[2019,2,19]]},"assertion":[{"value":"19 February 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}