{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,19]],"date-time":"2026-04-19T03:15:13Z","timestamp":1776568513518,"version":"3.51.2"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2003,9,1]],"date-time":"2003-09-01T00:00:00Z","timestamp":1062374400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,9,1]],"date-time":"2003-09-01T00:00:00Z","timestamp":1062374400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Wireless Personal Communications"],"published-print":{"date-parts":[[2003,9]]},"DOI":"10.1023\/a:1025684624987","type":"journal-article","created":{"date-parts":[[2003,9,23]],"date-time":"2003-09-23T18:47:08Z","timestamp":1064342828000},"page":"305-324","source":"Crossref","is-referenced-by-count":14,"title":["Optimal Multi-User Interference Balancing Using Transmit Beamforming"],"prefix":"10.1007","volume":"26","author":[{"given":"Holger","family":"Boche","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Martin","family":"Schubert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5144624_CR1","unstructured":"M. Bengtsson and B. Ottersten, \u201cOptimal Downlink Beamforming Using Semidefinite Optimization\u201d, in Proc. Annual Allerton Conf. on Commun., Control and Computing, Monticello, U.S.A., 1999, pp. 987\u2013996."},{"key":"5144624_CR2","doi-asserted-by":"crossref","unstructured":"M. Bengtsson and B. Ottersten, Handbook of Antennas in Wireless Communications, Chapt. Optimal and Suboptimal Transmit Beamforming, CRC Press, 2001.","DOI":"10.1201\/9781420042146.ch18"},{"issue":"5","key":"5144624_CR3","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1002\/ett.4460120507","volume":"12","author":"H. Boche","year":"2001","unstructured":"H. Boche and M. Schubert, \u201cTheoretical and Experimental Comparison of Optimization Criteria for Downlink Beamforming\u201d, European Trans. on Telecomm. (ETT), Vol. 12, No. 5, pp. 417\u2013426, 2001.","journal-title":"European Trans. on Telecomm. (ETT)"},{"key":"5144624_CR4","doi-asserted-by":"crossref","unstructured":"H. Boche and M. Schubert, \u201cOptimum SIR Balancing Using Extended 1-Norm Beamforming Optimization\u201d, in Proc. IEEE Internat. Conf. on Acoustics, Speech, and Signal Proc. (ICASSP), Orlando, U.S.A., 2002.","DOI":"10.1109\/ICASSP.2002.1005304"},{"issue":"1","key":"5144624_CR5","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1109\/7693.975441","volume":"1","author":"J.-H. Chang","year":"2002","unstructured":"J.-H. Chang, L. Tassiulas and F. Rashid-Farrokhi, \u201cJoint Transmitter Receiver Diversity for Efficient Space Division Multiaccess\u201d, IEEE Trans. on Wireless Communications, Vol. 1, No. 1, pp. 16\u201327, 2002.","journal-title":"IEEE Trans. on Wireless Communications"},{"issue":"11","key":"5144624_CR6","doi-asserted-by":"crossref","first-page":"1497","DOI":"10.1109\/26.729394","volume":"46","author":"C. Farsakh","year":"1998","unstructured":"C. Farsakh and J.A. Nossek, \u201cSpatial Covariance Based Downlink Beamforming in an SDMA Mobile Radio System\u201d, IEEE Trans. on Communications, Vol. 46, No. 11, pp. 1497\u20131506, 1998.","journal-title":"IEEE Trans. on Communications"},{"key":"5144624_CR7","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/0165-1684(96)00093-X","volume":"54","author":"D. Gerlach","year":"1996","unstructured":"D. Gerlach and A. Paulraj, \u201cBase Station Transmitting Antenna Arrays for Multipath Environments\u201d, Signal Processing (Elsevier Science), Vol. 54, pp. 59\u201373, 1996.","journal-title":"Signal Processing (Elsevier Science)"},{"issue":"5","key":"5144624_CR8","doi-asserted-by":"crossref","first-page":"1520","DOI":"10.1109\/18.532892","volume":"42","author":"A. Lapidoth","year":"1996","unstructured":"A. Lapidoth, \u201cNearest Neighbor Decoding for Additive Non-Gaussian Noise Channels\u201d, IEEE Trans. on Information Theory, Vol. 42, No. 5, pp. 1520\u20131529, 1996.","journal-title":"IEEE Trans. on Information Theory"},{"key":"5144624_CR9","doi-asserted-by":"crossref","unstructured":"C.D. Meyer, Matrix Analysis and Applied Linear Algebra, SIAM, 2000.","DOI":"10.1137\/1.9780898719512"},{"key":"5144624_CR10","doi-asserted-by":"crossref","unstructured":"G. Montalbano and D.T.M. Slock (1998). \u201cMatched Filter Bound Optimization for Multiuser Downlink Transmit Beamforming\u201d. In Proc. IEEE ICUPC, Florence Italy, 1998.","DOI":"10.1109\/ICUPC.1998.733054"},{"key":"5144624_CR11","volume-title":"Introduction to Adaptive Arrays","author":"R.A. Monzingo","year":"1980","unstructured":"R.A. Monzingo and T.W. Miller, Introduction to Adaptive Arrays, Wiley, New York, 1980."},{"issue":"8","key":"5144624_CR12","doi-asserted-by":"crossref","first-page":"1437","DOI":"10.1109\/49.730452","volume":"16","author":"F. Rashid-Farrokhi","year":"1998","unstructured":"F. Rashid-Farrokhi, K.J. Liu and L. Tassiulas, \u201cTransmit Beamforming and Power Control for Cellular Wireless Systems\u201d, IEEE Journal on Selected Areas in Comm., Vol. 16, No. 8, pp. 1437\u20131449, 1998.","journal-title":"IEEE Journal on Selected Areas in Comm."},{"key":"5144624_CR13","unstructured":"M. Schubert and H. Boche, \u201cSIR Balancing for Multiuser Downlink Beamforming \u2013 A Convergence Analysis\u201d, in Proc. Internat. Conf. Comm. (ICC), New York, U.S.A., 2002a."},{"key":"5144624_CR14","unstructured":"M. Schubert and H. Boche, \u201cA Unifying Theory for Uplink and Downlink Multi-User Beamforming\u201d, in Proc. IEEE Intern. Zurich Seminar, Zurich, Switzerland, 2002b."},{"key":"5144624_CR15","doi-asserted-by":"crossref","unstructured":"E. Seneta, Non-Negative Matrices and Markov Chains, Springer, 1981.","DOI":"10.1007\/0-387-32792-4"},{"key":"5144624_CR16","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1002\/ett.4460100604","volume":"10","author":"E. Telatar","year":"1999","unstructured":"E. Telatar, \u201cCapacity of Multiple-Antenna Gaussian Channels\u201d, European Trans. Telecommun., Vol. 10, pp. 585\u2013595, 1999.","journal-title":"European Trans. Telecommun."},{"key":"5144624_CR17","unstructured":"D. Tse and P. Viswanath, \u201cDownlink-Uplink Duality and Effective Bandwidths\u201d, in Proc. IEEE Int. Symp. on Inf. Theory (ISIT), Lausanne, Switzerland, 2002."},{"key":"5144624_CR18","unstructured":"S. Vishwanath, N. Jindal and A. Goldsmith, \u201cOn the Capacity of Multiple Input Multiple Output Broadcast Channels\u201d, in Proc. IEEE Int. Conf. on Comm. (ICC), 2001."},{"issue":"Spring","key":"5144624_CR19","first-page":"851","volume":"1","author":"E. Visotsky","year":"1999","unstructured":"E. Visotsky and U. Madhow, \u201cOptimum Beamforming Using Transmit Antenna Arrays\u201d, in Proc. IEEE Vehicular Techn. Conf. (VTC), Houston, Texas, Spring 1999, Vol. 1, pp. 851\u2013856.","journal-title":"Proc. IEEE Vehicular Techn. Conf. (VTC), Houston, Texas"},{"issue":"1","key":"5144624_CR20","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1109\/25.120145","volume":"41","author":"J. Zander","year":"1992","unstructured":"J. Zander, \u201cPerformance of Optimum Transmitter Power Control in Cellular Radio Systems\u201d, IEEE Trans. on Vehicular Technology, Vol. 41, No. 1, pp. 57\u201362, 1992.","journal-title":"IEEE Trans. on Vehicular Technology"},{"key":"5144624_CR21","doi-asserted-by":"crossref","unstructured":"J. Zander and M. Frodigh, \u201cComment on Performance of Optimum Transmitter Power Control in Cellular Radio Systems\u201d, IEEE Trans. on Vehicular Technology, Vol. 43, No. 3, 1994.","DOI":"10.1109\/25.312818"},{"key":"5144624_CR22","volume-title":"Radio Resource Management for Wireless Networks","author":"J. Zander","year":"2001","unstructured":"J. Zander and S.-L. Kim, Radio Resource Management for Wireless Networks, Artech House, Boston, London, 2001."}],"container-title":["Wireless Personal Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1025684624987.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1025684624987\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1025684624987.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,13]],"date-time":"2025-08-13T12:06:41Z","timestamp":1755086801000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1025684624987"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,9]]},"references-count":22,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2003,9]]}},"alternative-id":["5144624"],"URL":"https:\/\/doi.org\/10.1023\/a:1025684624987","relation":{},"ISSN":["0929-6212","1572-834X"],"issn-type":[{"value":"0929-6212","type":"print"},{"value":"1572-834X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,9]]}}}