In this paper we propose a diversity preserving hard decision decoding scheme for parity check codes (PCC) over Rayleigh fading channels. The proposed flip decoding scheme has linear complexity in the block length. Theoretical analysis and simulation results verify the correctness of the proposed detection scheme.doi:10.48550/arXiv.2012.09497Aaqib...
High-Performance, Low-Complexity Decoding of Generalized Low-Density Parity-Check CodesZhangT.ParhiK.K.ingentaconnectGlobecom New York
Consider two parity check codes.Code I is generated by the rulex1=u1 x4=u1⊕u2x2=u2 x5=u1⊕u3x3=u3 x6=u2⊕u3 x7=u1⊕u2⊕u3 Code II is the same except that x6=u2. (1)Write down the generator matrix and parity check matrix for code I.(2)Write out a decoding table for code ...
This paper presents the construction of large girth Quasi-Cyclic low density parity check (QC-LDPC) codes. The row groups are paired two times the row weight which has cut down hardware implementation cost and complexity as compared to the connection of individual columns and rows. The ...
During this stage, a variable γ is introduced to measure the decoding reliability of the component codes after the first-stage decoding. Subsequently, two submodes are presented to finish the second-stage decoding in terms of the value of γ. Simulation results show that the proposed doped ...
About this chapter Cite this chapter (2002). Low-Density Parity-Check Codes. In: Fundamentals of Codes, Graphs, and Iterative Decoding. The International Series in Engineering and Computer Science, vol 714. Springer, Boston, MA. https://doi.org/10.1007/0-306-47794-7_8 ...
In this chapter, we describe the main characteristics of a hybrid class of codes which are both quasi-cyclic (QC) and low-density parity-check (LDPC) codes. They join the powerful error correcting performance of LDPC codes with the structured nature of QC codes, which allows for very compact...
Low-Density Parity-Check Codes enable near Shannon limit performance. LDPCs were originally proposed in 1962, but only recently regained attention. LDPCs are coded according to sparse parity-check matrixes and decoded using iterative algorithms similar to that of turbo decoding. Based on recent resea...
Data Types:double Output format for parity-check matrixH, specified as'sparse'or'indices'. If you set this value to'sparse',His a sparse logical matrix. If you set this value to'indices',His a two-column matrix that defines the row and column indices of the 1s inH. ...
3 Low Density Parity Check (LDPC) Codes3.1 Definition of Low Density Parity Check (LDPC) CodesIn 1955, PeterEliashad proposed the convolutional codes [31]. Five years later, in 1960,one of his academic students, Robert GrayGallager, submitted a doctoral (D.Sc.) disser-tation [94], which...