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Layered Decoding of Nonbinary LDPC Codes Suitable for High-Speed Optical Communications
Optical communications Forward error correction Low-density parity- check codes
2015/5/25
We propose using layered update rule in decoding nonbinary LDPC codes. Only 10-15 iterations suffice for good performance. Also, for the same BER performance, it increases throughput by twofold compar...
We present a mathematical connection between channel coding and compressed sensing.
Improved linear programming decoding of LDPC codes and bounds on the minimum and fractional distance
Improved linear programming LDPC codes bounds minimum fractional distance
2011/1/19
We examine LDPC codes decoded using linear programming (LP). Four contributions to the LP framework are presented. First, a new method of tightening the LP relaxation,and thus improving the LP decoder...
Cyclic and Quasi-Cyclic LDPC Codes on Row and Column Constrained Parity-Check Matrices and Their Trapping Sets
Quasi-Cyclic LDPC Codes on Row Column Constrained Parity-Check Matrices Their Trapping Sets
2011/2/21
This paper is concerned with construction and structural analysis of both cyclic and quasi-cyclic codes, particularly LDPC codes. It consists of three parts. The first part shows that a cyclic code gi...
Analytical Solution of Covariance Evolution for Irregular LDPC Codes
Analytical Solution Covariance Evolution Irregular LDPC Codes
2010/11/12
A scaling law developed by Amraoui et al. is a powerful technique to estimate the block error probability of finite length low-density parity-check (LDPC) codes. Solving a system of differential equa...
Weight Distributions of Multi-Edge type LDPC Codes
low-density parity-check code structured codes weight distributions
2010/11/30
The multi-edge type LDPC codes, introduced by Richardson and Urbanke, present the general class of struc-tured LDPC codes. In this paper, we derive the average weight distributions of the multi-edge t...
Performance Analysis and Design of Two Edge Type LDPC Codes for the BEC Wiretap Channel
Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
2010/12/10
We consider transmission over a wiretap channel where both the main channel and the wiretapper’s channel are Binary Erasure Channels (BEC).
Secret Sharing LDPC Codes for the Constrained Gaussian Wiretap Channel
Secret Sharing LDPC Codes Constrained Gaussian Wiretap Channel
2010/12/7
The problem of secret sharing over the Gaussian wiretap channel is considered. A source and a
destination intend to share secret information over a Gaussian channel in the presence of a wiretapper wh...
Optimized IR-HARQ Schemes Based on Punctured LDPC Codes over the BEC
Optimized IR-HARQ Schemes Based Punctured LDPC Codes BEC
2010/12/6
We study incremental redundancy hybrid ARQ (IR-HARQ) schemes based on punctured, finite-length, LDPC codes. The transmission is assumed to take place over time varying binary erasure channels, such as...
An Iterative Joint Linear-Programming Decoding of LDPC Codes and Finite-State Channels
Iterative Joint Linear-Programming Decoding of LDPC Codes Finite-State Channels
2010/12/10
In this paper, we introduce an efficient method for the joint linear-programming (LP) decoding of low-density parity-check (LDPC) codes and finite-state channels (FSCs). In particular, we extend the a...
Design LDPC Codes without Cycles of Length 4 and 6
Design LDPC Codes Cycles of Length 4 and 6
2009/9/4
We present an approach for constructing LDPC codes without cycles of length 4 and 6. Firstly, we design 3 submatrices with different shifting functions given by the proposed schemes, then combine them...
Design of Short, High-Rate DVB-S2-Like Semi-Regular LDPC Codes
Short High-Rate DVB-S2-Like Semi-Regular LDPC Codes
2009/9/4
This work focuses on high-rate (R>4/5) moderate-length (1000≤n<5000) low-density parity-check codes. High-rate codes allow to maintain good quality of the preliminary decisions that are used in carrie...
Design of a VLSI Decoder for Partially Structured LDPC Codes
VLSI Decoder Partially Structured LDPC Codes
2009/9/2
The starting point of this work is the development of a new class of partially structured LDPC codes, very well suited for hardware implementation. Specifically these codes are built so that the edges...
LDPC Codes and Stochastic Decoding for Beyond 100 Gb/s Optical Transmission
LDPC Codes Stochastic Optical Transmission
2015/8/4
We present a modified stochastic LDPC decoding algorithm suitable for implementation at 100-Gb/s and above. The stochastic decoding is invented for low-precision digital circuits, and as such is suita...