Results 201 to 210 of about 37,023 (238)

Low-Lee-Density Parity-Check Codes

ICC 2020 - 2020 IEEE International Conference on Communications (ICC), 2020
We introduce a new family of linear block codes over $\mathbb{Z}_{q}$ that we name low-Lee-density parity-check (LLDPC) codes. These codes, which are embedded with the Lee metric, are characterized by a parity-check matrix whose rows and columns have low Lee weight.
Santini P., Battaglioni M., Chiaraluce F., Baldi M., Persichetti E.   +4 more
openaire   +1 more source

Low Density Parity Check Codes

2014
The Tanner graph is described. A girth in the Tanner graph is equivalent to a short cycle of 1- symbols in the parity check matrix. The condition called row-column constraint is introduced, in order to allow practical decoding procedures. They are based on the sum-product algorithm, which is briefly outlined.
openaire   +2 more sources

Low-Density Parity-Check Codes

2000
Gallager first proposed low-density parity-check (LDPC) codes and their iterative detection algorithm in 1962 [Gallager, 1962]. They have been almost forgotten for thirty years. Recently, with the extensive research on “turbo-like” codes and on iterative detection, LDPC codes re-emerge as another category of random codes approaching the Shannon ...
openaire   +1 more source

Low-Density Parity-Check Codes

1963
This is a complete presentation of all important theoretical and experimental work done on low-density codes. Low-density coding is one of the three techniques thus far developed for efficient communication over noisy channels with an arbitrarily low probability of error. A principal result of information theory is that if properly coded information is
openaire   +1 more source

Constructing low-density parity-check codes

IEEE/AFCEA EUROCOMM 2000. Information Systems for Enhanced Public Safety and Security (Cat. No.00EX405), 2002
A low-density parity-check code (LDPCC) has been constructed for a block size of 10/sup 7/ that provides performance within 0.01 dB of Shannon's limit using iterative belief propagation (IBP) decoding. The LDPCC can be constructed for nearly any code rate and block size and encoding and IBP decoding is practical for many applications. We describe LDPCC
J.W. Bond, S. Hui, H. Schmidt
openaire   +1 more source

Quasicyclic low density parity check codes

IEEE International Symposium on Information Theory, 2003. Proceedings., 2003
In this work, the construction of low density parity check codes (LDPCs) from circulant permutation matrices is investigated. It is shown that such codes can not have a Tanner graph representation with girth larger than 12, and a relatively loose necessary and sufficient condition for the code to have a girth of 6, 8, 10 or 12 is derived. These results
openaire   +1 more source

Low-density parity-check accumulate codes

2010 International Symposium On Information Theory & Its Applications, 2010
This paper presents a class of high-rate codes called low-density parity-check accumulate (LDPCA) codes. The code design is the serial concatenation of an LDPC outer code and an accumulator with an interleaver. The iterative decoding for the LDPCA code design has complexity linear to the code length.
Chung-Li Wang, Shu Lin
openaire   +1 more source

Low-Density Parity-Check Codes

2013
Low-density parity-check (LDPC) codes were introduced in 1960 by R. Gallager [1] in his Phd thesis. He already introduced the iterative method for decoding LDPC codes. However, also due to their computational and implementation complexity the iterative decoding was largely ignored.
openaire   +1 more source

Low Density Parity Check Codes

2015
Low density parity check (LDPC) codes are forward error-correction codes, invented by Robert Gallager in his MIT Ph.D. dissertation, 1960. The LDPC codes are ignored for long time due to their high computational complexity and domination of highly structured algebraic block and convolutional codes for forward error correction.
openaire   +1 more source

Low-Density Parity-Check Code Constructions

2014
Low-density parity-check (LDPC) codes are a class of linear block code capable of performing extremely close to the capacity of a channel as defined by Shannon. The purpose of this chapter is to provide an overview of the basic ideas, as well as the main results, in the field of LDPC code construction. No attempt could possibly be made to include every
PAOLINI, ENRICO, M. Flanagan
openaire   +1 more source