Annealed Langevin Dynamics for MIMO Communications

Simple item page
dc.contributor.advisorSegarra, Santiagoen_US
dc.contributor.advisorSabharwal, Ashutoshen_US
dc.creatorZilberstein, Nicolas Men_US
dc.date.accessioned2024-05-20T20:19:36Zen_US
dc.date.created2024-05en_US
dc.date.issued2024-01-29en_US
dc.date.submittedMay 2024en_US
dc.date.updated2024-05-20T20:19:36Zen_US
dc.description.abstractSolving the optimal data detection problem in multiple-input multiple-output (MIMO) systems is known to be NP-hard. Moreover, the difficulty is exacerbated when the channel state information is unavailable. In this work we propose a MIMO detector for the two scenarios, namely when the CSI is known and when it is unknown. First, for the case of perfect CSI, we proposed a MIMO detector based on an annealed version of Langevin dynamics. More precisely, we define a stochastic dynamical process whose stationary distribution coincides with the posterior distribution of the data given our observations. This allows us to approximate the maximum a posteriori estimator of the transmitted symbols by sampling from the proposed Langevin dynamic. We carefully craft this stochastic dynamic by gradually adding a sequence of noise with decreasing variance to the trajectories, which ensures that the estimated symbols belong to a pre-specified discrete constellation. Second, for the case of unknown CSI, we propose a joint data detection and channel estimation solution, where we define an annealed Langevin diffusion whose stationary distribution is the joint posterior of the channels and data given noisy observations.en_US
dc.embargo.lift2024-11-01en_US
dc.embargo.terms2024-11-01en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationZilberstein, Nicolas. Annealed Langevin Dynamics for MIMO Communications. (2024). Masters thesis, Rice University. https://hdl.handle.net/1911/115916en_US
dc.identifier.urihttps://hdl.handle.net/1911/115916en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectLangevin dynamicsen_US
dc.subjectMassive MIMO Communicationsen_US
dc.titleAnnealed Langevin Dynamics for MIMO Communicationsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical and Computer Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
ZILBERSTEIN-DOCUMENT-2024.pdf
Size:
973.47 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 2 of 2
No Thumbnail Available
Name:
PROQUEST_LICENSE.txt
Size:
5.85 KB
Format:
Plain Text
Description:
Download
No Thumbnail Available
Name:
LICENSE.txt
Size:
2.98 KB
Format:
Plain Text
Description:
Download
Collections
Rice University Theses and Dissertations