Publications related to Symmetry in design and decoding of polar-like codes

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Distributed sensor failure detection in sensor networks

Pascal Frossard, Nikolaos Thomos, Tamara Tosic

We investigate the problem of distributed sensors' failure detection in networks with a small number of defective sensors, whose measurements differ significantly from neighboring sensor measurements. Defective sensors are represented by non-zero values in ...

2011

Phase Transitions for Mutual Information

Mohammad Amin Shokrollahi, Krishna Kumar, Amir Hesam Salavati, Raj Kumar Krishna Kumar

We consider ensembles of binary linear error correcting codes, obtained by sampling each column of the generator matrix G or parity check matrix H independently from the set of all binary vectors of weight d (of appropriate dimension). We investigate the c ...

IEEE2010

On the scaling of polar codes: II. The behavior of un-polarized channels

Rüdiger Urbanke, Seyed Hamed Hassani

We provide upper and lower bounds on the escape rate of the Bhattacharyya process corresponding to polar codes where transmission takes place over the the binary erasure channel. More precisely, we bound the exponent of the number of sub-channels whose Bha ...

IEEE2010

Polar Codes for Q-ary Source Coding

Emre Telatar, Mohammad Karzand

Polar coding is a recent channel coding technique invented by Arikan to achieve the 'symmetric capacity' of binary-input memoryless channels. Subsequently it was observed by Korada and Urbanke that such codes are also good for lossy channel coding, achievi ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Threshold saturation via spatial coupling: Why convolutional LDPC ensembles perform so well over the BEC

Rüdiger Urbanke, Shrinivas Kudekar

Convolutional LDPC ensembles, introduced by Felstrom and Zigangirov, have excellent thresholds and these thresholds are rapidly increasing as a function of the average degree. Several variations on the basic theme have been proposed to date, all of which s ...

IEEE2010

Universal a posteriori metrics game

Emmanuel Abbé, Rethnakaran Pulikkoonattu

Over binary input channels, uniform distribution is a universal prior, in the sense that it allows to maximize the worst case mutual information over all binary input channels, ensuring at least 94.2% of the capacity. In this paper, we address a similar qu ...

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

Not Just for Errors: Codes for Fast and Secure Flash Storage

Yuval Cassuto

Error-correcting codes are normally employed in storage devices to guarantee the integrity of data in the presence of errors. This paper presents two schemes where error-correcting codes are used for entirely different purposes. In the first part of the pa ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Symmetry in design and decoding of polar-like codes

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Distributed sensor failure detection in sensor networks

Phase Transitions for Mutual Information

Rateless Codes for AVC Models

On the scaling of polar codes: II. The behavior of un-polarized channels

Applications of Derandomization Theory in Coding

Polar Codes for Q-ary Source Coding

Threshold saturation via spatial coupling: Why convolutional LDPC ensembles perform so well over the BEC

Universal a posteriori metrics game

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

Not Just for Errors: Codes for Fast and Secure Flash Storage

Rateless Codes for AVC Models

Polar Codes for Q-ary Source Coding

Applications of Derandomization Theory in Coding

Threshold saturation via spatial coupling: Why convolutional LDPC ensembles perform so well over the BEC

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

Not Just for Errors: Codes for Fast and Secure Flash Storage

Distributed sensor failure detection in sensor networks

Phase Transitions for Mutual Information

On the scaling of polar codes: II. The behavior of un-polarized channels

Universal a posteriori metrics game