Search Results - "Kudekar, Shrinivas"
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Threshold Saturation via Spatial Coupling: Why Convolutional LDPC Ensembles Perform So Well over the BEC
Published in IEEE transactions on information theory (01-02-2011)“…Convolutional low-density parity-check (LDPC) ensembles, introduced by Felström and Zigangirov, have excellent thresholds and these thresholds are rapidly…”
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Journal Article -
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Joint Crosstalk-Avoidance and Error-Correction Coding for Parallel Data Buses
Published in IEEE transactions on information theory (01-03-2019)“…Communication in integrated circuits faces two major impediments: inter-wire capacitive coupling and noise. Coding can be used to address both these problems…”
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Spatially Coupled Ensembles Universally Achieve Capacity Under Belief Propagation
Published in IEEE transactions on information theory (01-12-2013)“…We investigate spatially coupled code ensembles. For transmission over the binary erasure channel, it was recently shown that spatial coupling increases the…”
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The effect of spatial coupling on compressive sensing
Published in 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton) (01-09-2010)“…Recently, it was observed that spatially-coupled LDPC code ensembles approach the Shannon capacity for a class of binary-input memoryless symmetric (BMS)…”
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Conference Proceeding -
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Reed-Muller Codes Achieve Capacity on Erasure Channels
Published in IEEE transactions on information theory (01-07-2017)“…We introduce a new approach to proving that a sequence of deterministic linear codes achieves capacity on an erasure channel under maximum a posteriori…”
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Analysis of Saturated Belief Propagation Decoding of Low-Density Parity-Check Codes
Published in IEEE transactions on information theory (01-09-2017)“…We consider the effect of log-likelihood ratio saturation on the belief-propagation decoding of low-density parity-check codes. Saturation is commonly done in…”
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Journal Article -
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Threshold saturation on BMS channels via spatial coupling
Published in 2010 6th International Symposium on Turbo Codes & Iterative Information Processing (01-09-2010)“…We consider spatially coupled code ensembles. A particular instance are convolutional LDPC ensembles. It was recently shown that, for transmission over the…”
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Conference Proceeding -
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Threshold saturation via spatial coupling: Why convolutional LDPC ensembles perform so well over the BEC
Published in 2010 IEEE International Symposium on Information Theory (01-06-2010)“…Convolutional LDPC ensembles, introduced by Felström and Zigangirov, have excellent thresholds and these thresholds are rapidly increasing as a function of…”
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Conference Proceeding -
9
Wave-Like Solutions of General 1-D Spatially Coupled Systems
Published in IEEE transactions on information theory (01-08-2015)“…We establish the existence of wave-like solutions to spatially coupled graphical models which, in the large size limit, can be characterized by a 1-D…”
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10
Sharp Bounds for Optimal Decoding of Low-Density Parity-Check Codes
Published in IEEE transactions on information theory (01-10-2009)“…Consider communication over a binary-input memoryless output-symmetric channel with low-density parity-check (LDPC) codes and maximum a posteriori (MAP)…”
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Threshold Saturation via Spatial Coupling: Why Convolutional LDPC Ensembles Perform So Well over the BEC: Facets of Coding Theory: From Algorithms to Networks. Special Issue Dedicated to the Scientific Legacy of Ralf Koetter
Published in IEEE transactions on information theory (2011)Get full text
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A Path Metric Based Construction of Polarization-Adjusted Convolutional Codes
Published in 2024 IEEE International Symposium on Information Theory (ISIT) (07-07-2024)“…We propose an approach to understand and exploit Polarization-Adjusted Convolutional (PAC) Codes that is directly tied to decoders with memory, specifically…”
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Conference Proceeding -
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Source Polarization-Adjusted Convolutional Codes
Published in 2023 IEEE International Symposium on Information Theory (ISIT) (25-06-2023)“…Motivated by applications to low-latency secret key generation in physical-layer security, we study Polarization-Adjusted Convolutional (PAC) codes for source…”
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Conference Proceeding -
14
Almost Optimal Scaling of Reed-Muller Codes on BEC and BSC Channels
Published in 2018 IEEE International Symposium on Information Theory (ISIT) (01-06-2018)“…Consider a binary linear code of length N , minimum distance d_{\min} , transmission over the binary erasure channel with parameter 0 < \epsilon < 1 or the…”
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Conference Proceeding -
15
Joint Crosstalk-Avoidance and Error-Correction Coding for Parallel Data Buses
Published 19-01-2016“…IEEE Transactions on Information Theory, vol. 65, pp. 1626 - 1638, March 2019 Decreasing transistor sizes and lower voltage swings cause two distinct problems…”
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Comparing the bit-MAP and block-MAP decoding thresholds of reed-muller codes on BMS channels
Published in 2016 IEEE International Symposium on Information Theory (ISIT) (01-07-2016)“…The question whether RM codes are capacity-achieving is a long-standing open problem in coding theory that was recently answered in the affirmative for…”
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17
Almost Optimal Scaling of Reed-Muller Codes on BEC and BSC Channels
Published 29-01-2018“…Consider a binary linear code of length $N$, minimum distance $d_{\text{min}}$, transmission over the binary erasure channel with parameter $0 < \epsilon < 1$…”
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Journal Article -
18
Analysis of Saturated Belief Propagation Decoding of Low-Density Parity-Check Codes
Published 27-12-2014“…We consider the effect of log-likelihood ratio saturation on belief propagation decoder low-density parity-check codes. Saturation is commonly done in practice…”
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Journal Article -
19
Spatially Coupled Codes over the Multiple Access Channel
Published 14-02-2011“…We consider spatially coupled code ensembles over a multiple access channel. Convolutional LDPC ensembles are one instance of spatially coupled codes. It was…”
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Journal Article -
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The effect of saturation on belief propagation decoding of LDPC codes
Published in 2014 IEEE International Symposium on Information Theory (01-06-2014)“…We consider the effect of LLR saturation on belief propagation decoding of low-density parity-check codes. Saturation is commonly done in practice and is known…”
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Conference Proceeding