Monotonic Optimization Framework for the MISO IFC
2009 (English)In: Proceedings of the 34th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'09), IEEE , 2009, 3633-3636 p.Conference paper (Refereed)
Resource allocation and transmit optimization for the multiple-antenna Gaussian interference channel are important but difficult problems. Recently, there has been a large interest in algorithms that find operating points which are optimal in the sum-rate, proportional-fair, or minimax sense. Finding these points entails solving a nonlinear, non-convex optimization problem. In this paper, we develop an algorithm that solves these problems exactly, to within a prescribed level of accuracy and in a finite number of steps. The main idea is to rewrite the objective functions so that methods for monotonic optimization can be used. More precisely, we write each objective function as a difference between two functions which are strictly increasing over a normal constraint set. The so-obtained reformulated, equivalent problem can then be solved efficiently by using so-called polyblock optimization. Numerical examples illustrate the advantages of the proposed framework compared to an exhaustive grid search.
Place, publisher, year, edition, pages
IEEE , 2009. 3633-3636 p.
Resource allocation, interference channel, nonconvex optimization, outer polyblock approximation
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-25593DOI: 10.1109/ICASSP.2009.4960413ISBN: 978-1-4244-2353-8OAI: oai:DiVA.org:liu-25593DiVA: diva2:246032
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Eduard A. Jorswieck and Erik G. Larsson, Monotonic Optimization Framework for the MISO IFC, 2009, Proceedings of the 34th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'09), 3633-3636.