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Record W2980043203 · doi:10.22215/etd/2016-11443

Multilevel Polar Codes for Grassmannian Signalling

2016· dissertation· en· W2980043203 on OpenAlexaff
Philip R. Balogun

Bibliographic record

Venuenot available
Typedissertation
Languageen
FieldComputer Science
TopicError Correcting Code Techniques
Canadian institutionsCarleton University
Fundersnot available
KeywordsGrassmannianConstellationCoding (social sciences)AlgorithmPolarComputer sciencePartition (number theory)Set (abstract data type)Channel (broadcasting)Constellation diagramDecoding methodsTheoretical computer sciencePolar codeMathematicsBit error rateTelecommunicationsStatistics

Abstract

fetched live from OpenAlex

Polar codes, ever since their introduction, have been shown to be very effective for various wireless communication channels.This, together with their relatively low implementation complexity, has made polar codes an attractive coding scheme for wireless communications.On the other hand, within the realm of non-coherent wireless MIMO communication, Grassmannian signalling has been shown to approach the ergodic capacity of frequency-flat block fading channels at high SNR.In this paper, we combine these two components together using multilevel polar coding to create a system that produces the best known performance for a coded non-coherent channel.This combination requires that the signal constellation be set-partition labelled, so, a novel set partitioning algorithm, which works for regular and irregular multidimensional constellations, such as the Grassmannian constellation, is proposed.Finally, we develop a methodology for designing polar codes for a noisy channel and this is used to further improve the performance of our system.In simulation, we compare the error rate performance of our design with that of existing schemes and show that significant gains are possible over the previously known best technique, which is based on turbo codes.We then provide a complexity analysis of our receiver in comparison with other existing methods and show that it is able to provide these gains at a considerably lower complexity.Prof. Halim Yanikomeroglu, thank you very much for all the encouragement you gave to me, financial and otherwise, and thank you for providing a comfortable working space.To Dr. Ramy Gohary, I appreciate all the time you spent explaining the Grassmannian concepts to me and all the resources you provided to improve my understanding.I thank you all for believing in me, I could not have asked for a better team of supervisors.I would also like to thank my research colleagues for all the support, encouragement and advice they gave me throughout my research process.I would like to thank my family

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.001
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.007
Threshold uncertainty score0.023

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0000.001
Scholarly communication0.0010.001
Open science0.0000.001
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0070.002

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.025
GPT teacher head0.308
Teacher spread0.283 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2016
Admission routes1
Has abstractyes

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