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Block copolymers and uses thereof
Related publications (41)
Low Power LDPC Decoding by Reliable Voltage Down-Scaling
Low-Density Parity-Check (LDPC) decoder is among the power hungry building blocks of wireless communication systems. Voltage scaling down to Near-Threshold (NT) voltages substantially improves energy efficiency, in theory up 10x. However, tuning the voltag ...
New York2023Ultra-High-Throughput EMS NB-LDPC Decoder with Full-Parallel Node Processing
This paper presents an ultra-high-throughput decoder architecture for NB-LDPC codes based on the Hybrid Extended Min-Sum algorithm. We introduce a new processing block that updates a check node and its associated variable nodes in a fully pipelined way, th ...
SPRINGER2022An Explicit Construction of Optimal Streaming Codes for Channels With Burst and Arbitrary Erasures
This paper presents a new construction of error correcting codes which achieves optimal recovery of a streaming source over a packet erasure channel. The channel model considered is the sliding-window erasure model, with burst and arbitrary losses, introdu ...
2020On the Universality of Low-Density Parity-Check Block Codes
An important class of modern channel codes is the capacity-achieving sequences of low-density parity-check block codes. Such sequences are usually designed for the binary erasure channel and are decoded by iterative message-passing algorithms. In this pape ...
IEEE2020Design and Decoding of Irregular LDPC Codes Based on Discrete Message Passing
We consider discrete message passing (MP) decoding of low-density parity check (LDPC) codes based on information-optimal symmetric look-up table (LUT). A link between discrete message labels and the associated log-likelihood ratio values (defined in terms ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020New Results On The Pseudoredundancy
The concepts of pseudocodeword and pseudoweight play a fundamental role in the finite-length analysis of LDPC codes. The pseudoredundancy of a binary linear code is defined as the minimum number of rows in a parity-check matrix such that the corresponding ...
2019From LDPC Block to LDPC Convolutional Codes: Capacity, Stability, and Universality
In his landmark paper "A Mathematical Theory of Communication," the founding father of information theory and coding theory, Claude E. Shannon, established the largest rate at which reliable communication is possible and he revealed that the key to this re ...
EPFL2019The Velocity of the Propagating Wave for Spatially Coupled Systems With Applications to LDPC Codes
Nicolas Macris, Rafah El-Khatib
We consider the dynamics of message passing for spatially coupled codes and, in particular, the set of density evolution equations that tracks the profile of decoding errors along the spatial direction of coupling. It is known that, for suitable boundary c ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2018The Stability Condition of LDPC Codes Under MAP Decoding
We determine the stability condition of low-density parity-check codes under both bitwise and blockwise maximum a posteriori decoding. As a consequence, we prove that the stability condition determines an upper bound on both the bitwise and the blockwise m ...
IEEE2018The Bethe Free Energy Allows to Compute the Conditional Entropy of Graphical Code Instances: A Proof From the Polymer Expansion
The main objective of this paper is to explore the precise relationship between the Bethe free energy (or entropy) and the Shannon conditional entropy of graphical error correcting codes. The main result shows that the Bethe free energy associated with a l ...
Ieee-Inst Electrical Electronics Engineers Inc2016