نتایج جستجو برای: parity check matrix
تعداد نتایج: 436776 فیلتر نتایج به سال:
Low Density Parity Check Codes originally invented by Gallagher and subsequently rediscovered by multiple groups 30 years later has become the best known error correcting code in a variety of situations. In this paper, we review regular and irregular LDPC codes. We describe a number of message passing decoders for decoding these codes and explain their operation via examples. Density evolution,...
This paper considers the performance of single parity check (SPC) multidimensional product codes in an Additive White Gaussian Noise channel. Asymptotic performance bounds are derived and compared to simulation results. A new code structure based on SPC product codes is introduced. This structure involves interleaving between the encoding of each dimension. Weight distribution analysis is used ...
We consider the extremal problem to determine the maximal number N(m; k; r) of columns of a 0-1-matrix with m rows and at most r ones in each column such that each k columns are linearly independent modulo 2. For each xed k 1 and r 1, we shall prove a probabilistic lower bound N(m; k; r) = (m kr=2(k?1)); for k a power of 2, we prove an upper bound N(m; k; r) = O(m dkr=(k?1)e=2) which matches th...
1.1. Point 1: Cited Papers. Gunnam et al. claim that we did not cite correctly their work [2] and refer to other four publications of their own to provide further explanation. Actually the introductory section of our work [3] aims at providing an overview of the state-of-the-art architectures on the subject. The five works by Gunnam et al. basically propose the same LDPC architecture where the ...
In this paper, I will give a brief introduction to the theory of low-density parity-check codes, and their decoding. I will emphasize the case of correcting erasures as it is still the best understood and most accessible case. At the end of the paper, I will also describe more recent developments.
Early View (Online Version of Record published before inclusion in an issue) (/journal/10.1002/(ISSN)2161-3915/earlyview) Additional Information high-rate irregular QC-LDPC codes with applications to PR2 and EPR2 channels. Trans Emerging Tel Tech.
OF THE DISSERTATION Optimizing and Decoding LDPC codes with Graph-Based Techniques
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