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dc.contributor.author
Hellings, Christoph
dc.contributor.author
Gest, Patrick
dc.contributor.author
Wiegart, Thomas
dc.contributor.author
Utschick, Wolfgang
dc.date.accessioned
2021-08-18T10:57:26Z
dc.date.available
2021-07-15T10:50:39Z
dc.date.available
2021-08-18T10:57:26Z
dc.date.issued
2021
dc.identifier.issn
1053-587X
dc.identifier.issn
1941-0476
dc.identifier.other
10.1109/TSP.2020.3043807
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/495161
dc.description.abstract
It is known that circularly symmetric Gaussian signals are the optimal input signals for the partial decode-and-forward (PDF) coding scheme in the Gaussian multiple-input multiple-output (MIMO) relay channel, but there is currently no method to find the optimal covariance matrices nor to compute the optimal achievable PDF rate since the optimization is a non-convex problem in its original formulation. In this paper, we show that it is possible to find a convex reformulation of the problem by means of an approximation and a primal decomposition. We derive an explicit solution for the inner problem as well as an explicit gradient for the outer problem, so that the efficient cutting-plane method can be applied for solving the outer problem. Based on these ingredients, we propose a convergent algorithm whose output is an approximation of the globally optimal solution along with a certificate of accuracy in terms of a maximum distance to the true global optimum. In numerical simulations, this distance converged to values close to zero in all considered instances of the problem, showing that the proposed method manages to find the global optimum in all these instances.
en_US
dc.language.iso
en
en_US
dc.publisher
IEEE
en_US
dc.subject
Gaussian relay channel
en_US
dc.subject
multiple-input multiple-output (MIMO)
en_US
dc.subject
partial decode-and-forward
en_US
dc.subject
convex optimization
en_US
dc.subject
sensitivity analysis
en_US
dc.subject
cutting plane method
en_US
dc.subject
generalized eigenvalue decomposition
en_US
dc.title
Maximizing the Partial Decode-and-Forward Rate in the Gaussian MIMO Relay Channel
en_US
dc.type
Journal Article
dc.date.published
2020-12-10
ethz.journal.title
IEEE Transactions on Signal Processing
ethz.journal.volume
69
en_US
ethz.journal.abbreviated
IEEE trans. signal process.
ethz.pages.start
1548
en_US
ethz.pages.end
1562
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
New York, NY
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2021-07-15T10:51:04Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2021-08-18T10:57:36Z
ethz.rosetta.lastUpdated
2022-03-29T11:15:30Z
ethz.rosetta.versionExported
true
ethz.COinS
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