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Density Evolution for Min-Sum Decoding of LDPC Codes Under Unreliable Message Storage

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Decay of correlations for sparse graph error correcting codes

Nicolas Macris, Shrinivas Kudekar

The subject of this paper is transmission over a general class of binary-input memoryless symmetric channels using error correcting codes based on sparse graphs, namely, low-density generator-matrix and low-density parity-check codes. The optimal (or ideal ...

2011

Efficient Implementation of Linear Programming Decoding

Mohammad Amin Shokrollahi

While linear programming (LP) decoding provides more flexibility for finite-length performance analysis than iterative message-passing (IMP) decoding, it is computationally more complex to implement in its original form, due to both the large size of the r ...

2011

Raptor Codes

Mohammad Amin Shokrollahi

This monograph describes the theory behind Raptor codes, and elucidates elements of the processes behind the design of two of the most prominent members of this class of codes: R10 and RaptorQ (RQ). R10 has already been adopted by a number of standards' bo ...

2011

A Novel Conflict-Free Memory and Processor Architecture for DVB-T2 LDPC Decoding

Alberto Jimenez Pacheco

In this paper, we present a flexible architecture for an LDPC decoder that fully exploits the structure of the codes defined in the DVB-T2 standard (Digital Video Broadcasting - Second Generation Terrestrial). We propose a processor and memory architecture ...

2011

Block copolymers and uses thereof

Jeffrey Alan Hubbell, Melody Swartz, Conlin O'Neil

An encoding/decoding apparatus and method using a low-density parity-check code (LDPC code) is disclosed. Basic column group information, serving as a set of information regarding positions of rows with weight 1, is extracted from a reference column in eac ...

2010

Symmetric LDPC codes are not necessarily locally testable

Ghid Maatouk

Locally testable codes, i.e., codes where membership in the code is testable with a constant number of queries, have played a central role in complexity theory. It is well known that a code must be a "low-density parity check" (LDPC) code for it to be loca ...

2010

Forward error-correcting (FEC) coding and streaming

Mohammad Amin Shokrollahi

In a data decoder for decoding data from received symbols received over a channel from an encoder, a method for decoding data wherein the received data includes erasures and includes source symbols and repair symbols organized into one or more source block ...

2010

A 15.8 pJ/bit/iter quasi-cyclic LDPC decoder for IEEE 802.11n in 90 nm CMOS

Andreas Peter Burg, Pascal Andreas Meinerzhagen, Christoph Studer

We present a low-power quasi-cyclic (QC) low density parity check (LDPC) decoder that meets the throughput requirements of the highest-rate (600 Mbps) modes of the IEEE 802.11n WLAN standard. The design is based on the layered offset-min-sum algorithm and ...

IEEE2010

Boosting Gossip for Live Streaming

Rachid Guerraoui, Anne-Marie Kermarrec, Maxime Monod, Davide Frey

Gossip protocols are considered very effective to disseminate information in a large scale dynamic distributed system. Their inherent simplicity makes them easy to implement and deploy. However, whereas their probabilistic guarantees are often enough to di ...

2010

A 5.35 mm2 10GBASE-T Ethernet LDPC Decoder Chip in 90 nm CMOS

Andreas Peter Burg, Paolo Ienne, Yusuf Leblebici, Alessandro Cevrero

A partially parallel low density parity check (LDPC) decoder compliant with the IEEE 802.3an standard for 10GBASE-T Ethernet is presented. The design is optimized for minimum silicon area and is based on the layered offset-min-sum algorithm which speeds up ...

2010