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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Resource Allocation for the Multiband Relay Channel: A Building Block for Hybrid Wireless Networks | Hindawi Publishing Corporation EURASIP Journal on Wireless Communications and Networking Volume 2010 Article ID 792410 13 pages doi 10.1155 2010 792410 Research Article Resource Allocation for the Multiband Relay Channel A Building Block for Hybrid Wireless Networks Kyounghwan Lee 1 Aylin Yener 2 and Xiang He2 1 Reverb Networks 20099 Ashbrook Place Suite 105 Ashburn VA 20147 USA 2 Wireless Communications and Networking Laboratory Department of Electrical Engineering Pennsylvania State University University Park PA 16802 USA Correspondence should be addressed to Aylin Yener yener@ee.psu.edu Received 1 June 2009 Revised 26 January 2010 Accepted 17 February 2010 Academic Editor Michael Gastpar Copyright 2010 Kyounghwan Lee et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We investigate optimal resource allocation for the multiband relay channel. We find the optimal power and bandwidth allocation strategies that maximize the bounds on the capacity by solving the corresponding max-min optimization problem. We provide sufficient conditions under which the associated max-min problem is equivalent to a supporting plane problem which renders the solution for an arbitrary number of bands tractable. In addition the sufficient conditions derived are general enough so that a class of utility functions can be accommodated with this formulation. As an example we concentrate on the case where the source has two bands and the relay has a single band available and find the optimal resource allocation. We observe that joint power and bandwidth optimization always yields higher achievable rates than power optimization alone establishing the merit of bandwidth sharing. Motivated by our analytical results we examine a simple scenario where new channels become available for a transmitter to communicate that is new source