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It is assumed that the available channel state information between the secondary and primary users is an outdated but correlated version of the actual instantaneous channel state information. Optimal power allocation schemes are developed for both decode\u2010and\u2010forward and amplify\u2010and\u2010forward relay assisted CR transmission, assuming that the primary users are subject to average interference constraints and the CR transmitters are subject to maximum transmit power constraint. In addition, suboptimal power allocation schemes with reduced complexity are also proposed. Performance of the proposed schemes is compared with uniform power allocation and numerical results confirm that the proposed power allocation schemes achieve significant capacity improvement in comparison to uniform power loading. Furthermore, the proposed suboptimal power allocation schemes can be used as less complex alternatives for optimal power allocation with some capacity degradation. Copyright \u00a9 2014 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/dac.2755","type":"journal-article","created":{"date-parts":[[2014,2,20]],"date-time":"2014-02-20T17:02:54Z","timestamp":1392915774000},"page":"1640-1656","source":"Crossref","is-referenced-by-count":3,"title":["Power allocation in OFDM cognitive radio relay networks with outdated channel state information"],"prefix":"10.1002","volume":"28","author":[{"given":"Shashika","family":"Biyanwilage","sequence":"first","affiliation":[{"name":"School of Computing, Engineering, and Mathematics University of Western Sydney Locked Bag 1797 Penrith NSW 2751 Australia"}]},{"given":"Upul","family":"Gunawardana","sequence":"additional","affiliation":[{"name":"School of Computing, Engineering, and Mathematics University of Western Sydney Locked Bag 1797 Penrith NSW 2751 Australia"}]},{"given":"Ranjith","family":"Liyanapathirana","sequence":"additional","affiliation":[{"name":"School of Computing, Engineering, and Mathematics 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