NDLI: A Special Class of Fractional QCQP and Its Applications on Cognitive Collaborative Beamforming

Content Provider	IEEE Xplore Digital Library
Author	Quanzhong Li Qi Zhang Jiayin Qin
Copyright Year	1991
Abstract	In this paper, we investigate a special class of the fractional quadratically constrained quadratic problem (QCQP) with more than two quadratic constraints. We propose to effectively solve this special fractional QCQP by one or two convex semidefinite programmings (SDPs). For the two SDPs, one is equivalent to the original fractional QCQP with rank-one relaxation from the Charnes-Cooper transformation and the other, exploiting the optimal value of the former SDP, always has rank-one solution, which is optimal to the former SDP. Theoretical analysis shows that our proposed non-iterative SDP-based algorithm achieves the global optimal solution to the special fractional QCQP. In specific scenarios, our proposed non-iterative SDP-based algorithm has lower computational complexity compared to the second-order cone programming (SOCP)-based and constrained concave convex procedure (CCCP)-based iterative algorithms. We apply the proposed non-iterative SDP-based algorithm on two collaborative beamforming problems in cognitive relay networks, specifically, one is the achievable rate region for two-way non-regenerative cognitive relay networks and the other is the achievable secrecy rate for one-way regenerative cognitive relay networks. Simulation results have shown that our proposed non-iterative SDP-based algorithm achieves the same performance as the SOCP-based iterative algorithm. Our proposed algorithm achieves the better performance than the CCCP-based iterative algorithm.
Sponsorship	IEEE Signal Processing Society
Starting Page	2151
Ending Page	2164
Page Count	14
File Size	2879007
File Format	PDF
ISSN	1053587X
Volume Number	62
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Relays Signal processing algorithms Iterative methods Array signal processing Collaboration Vectors Programming relay networks Cognitive radio collaborative beamforming fractional quadratically constrained quadratic problem (QCQP)
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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