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Methods and apparatus employing FEC codes with permanent inactivation of symbols for encoding and decoding processes

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Methods and apparatus employing FEC codes with permanent inactivation of symbols for encoding and decoding processes

Mohammad Amin Shokrollahi, Lorenz Minder

Encoding of a plurality of encoded symbols is provided wherein an encoded symbol is generated from a combination of a first symbol generated from a first set of intermediate symbols and a second symbol generated from a second set of intermediate symbols, e ...

2016

Re-proving Channel Polarization Theorems

Mine Alsan

The general subject considered in this thesis is a recently discovered coding technique, polar coding, which is used to construct a class of error correction codes with unique properties. In his ground-breaking work, Arikan proved that this class of codes, ...

EPFL2015

Rate allocation and optimized decoding in inter-session network coding

Eirina Bourtsoulatze

Recent advances in data processing and communication systems have led to a continuous increase in the amount of data communicated over today’s networks. These large volumes of data pose new challenges on the current networking infrastructure that only offe ...

EPFL2013

Growth Codes: Intermediate Performance Analysis and Application to Video

Pascal Frossard, Nikolaos Thomos, Rethnakaran Pulikkoonattu

Growth codes are a subclass of Rateless codes that have found interesting applications in data dissemination problems. Compared to other Rateless and conventional channel codes, Growth codes show improved intermediate performance which is particularly usef ...

Institute of Electrical and Electronics Engineers2013

A Class of Generalized RS-Codes with Faster Encoding and Decoding Algorithms

Mohammad Amin Shokrollahi

In this paper we study a particular class of generalized Reed-Solomon codes and introduce encoding and decoding algorithms for such codes that speed up current hardware implementations by a factor p wherein p can be any divisor of the size of the multiplic ...

Ieee2013

Polar Codes: Finite Length Implementation, Error Correlations and Multilevel Modulation

Shannon, in his seminal work, formalized the transmission of data over a communication channel and determined its fundamental limits. He characterized the relation between communication rate and error probability and showed that as long as the communicatio ...

2012

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

Polar Coding Theorems for Discrete Systems

Eren Sasoglu

Polar coding is a recently invented technique for communication over binary-input memoryless channels. This technique allows one to transmit data at rates close to the symmetric-capacity of such channels with arbitrarily high reliability, using low-complex ...

EPFL2011

Degree Distribution Optimization in Raptor Network Coding

Pascal Frossard, Nikolaos Thomos

We consider a multi-source delivery system, where Raptor coding at sources and linear network coding in overlay nodes work in concert for efficient data delivery in networks with diversity. Such a combination permits to increase throughput and loss resilie ...

2011

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