This chapter begins presenting the original approach to Reed–Solomon (RS) codes exhibiting the generator matrix of the code. This is followed by an equivalent method that selects codewords "screening" words by the parity-check matrix. The familiar ideas of addition and multiplication of complex ...
The matrix representation of convolution code and the relation between generation matrix and parity-check matrix are introduced briefly. 从而提出了一种以卷积码的校验矩阵为先验知识的卷积码识别方法,利用卷积码的校验矩阵和编码序列的关系对通信侦察系统得到的数据流进行分析,实现对接收序列的编码方式识别和码同...
1.2选择生成矩阵 生成矩阵(GM,generatormatrix)定义了如何将原始数据块编码为冗余数据块,RS码的生成矩阵是一个n行k列矩阵,将k块原始数据块编码为n块冗余数据块。如果对应的编码是系统码(比如RAID),编码后包含了原始数据,则生成矩阵中包含一个k×k大小的单位矩阵和(n−k)×k的冗余矩阵,单位矩阵对应的是...
Burst Decoding of Cyclic Codes Based on Circulant Parity-Check Matrices An error-burst correcting algorithm is developed based on a circulant parity-check matrix of a cyclic code. The proposed algorithm is more efficient than e... S Song,L Shu,Abdel-Ghaffar, K,... - 《IEEE Transactions on...
Initialize the error statistics matrix. ebnoVec = (3:0.5:8)'; ebnoVecCodingGain = ... ebnoVec + 10*log10(K/N); % Account for RS coding gain errorStats = zeros(length(ebnoVec),3); Estimate the bit error rate for each Eb/N0 value. The simulation runs until either 100 errors or ...
A system and method for processing a block Low Density Parity Check (LDPC) code are provided. The system includes, a decoding apparatus for decoding a block LDPC code using a parity check matrix, the parity check matrix including an info... Gyu-Bum KYUNG,Hong-Sil JEONG,Jae-Yoel KIM,......
packagemainimport("fmt""io/ioutil""os""path/filepath""github.com/klauspost/reedsolomon")const(dataShards=4// 数据分片数parShards=2// 校验分片数)funcmain(){fname:="D:/objects/test"// Create encoding matrix.enc,err:=reedsolomon.New(dataShards,parShards)checkErr(err)fmt.Println("Opening"...
Based on 𝑀=1M=1, such interleaved data with the length of (𝑇−1)2(T−1)2 together with stuff bits are represented as (2(𝑇−1)−1)×𝑇(2(T−1)−1)×T matrix. Two submatrices can define this matrix. The first one includes the matrix’s first (𝑇−1)(T...
In the case of codebook-based PUSCH processing, the sequence is multiplied with a precoder matrix, which depends on the number of layers, number of antenna ports, and the transmitted precoder matrix indicator (TPMI). % Set the parameters that control the PT-RS sequence generationpusch.D...
If that crate was to be renamed, what would be the new name? I'm assuming the obvious one would be to rename it to valkey-rs but at that point we probably have the same situation that we would need to check in with what the valkey people think about that?