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    • 3. 发明授权
    • Methods and devices for two-dimensional iterative multi-track based map detection
    • 用于二维迭代多轨地图检测的方法和装置
    • US08582223B1
    • 2013-11-12
    • US13363155
    • 2012-01-31
    • Shayan S. GaraniYiming Chen
    • Shayan S. GaraniYiming Chen
    • G11B5/09G11B20/14H03D1/06
    • G11B20/10287G11B5/02G11B20/10009G11B20/10037G11B20/10046G11B2005/0005G11B2220/2516
    • Decoding data written over a plurality of tracks includes selecting a mask that accounts for Inter-Symbol-Interference, the mask including channel coefficients and defining a trellis defining a plurality of states; receiving a signal corresponding to an input pixel from each of the plurality of tracks and generating equalized samples therefrom; computing transition branch probabilities for each input vector based on a Gaussian noise distribution using the equalized samples, ideal samples and a priori probabilities of the input vector; computing forward and backward probabilities via recursions using the computed transition branch probabilities; combining the forward, backward and transition branch probabilities to generate a-posteriori probabilities for the input vector; marginalizing the a-posteriori probabilities over values of neighboring pixels to generate an a-posteriori probability for a pixel of the input vector in a given state, and decoding the pixel as a first or second logical state from the marginalized a-posteriori probabilities.
    • 解码通过多个轨道写入的数据包括选择考虑符号间干扰的掩码,该掩码包括信道系数并定义定义多个状态的网格; 从所述多个轨道中的每一个接收对应于输入像素的信号,并从其产生均衡的采样; 基于使用均衡样本的高斯噪声分布​​来计算每个输入向量的转移分支概率,理想样本和输入向量的先验概率; 使用计算的转移分支概率通过递归计算前向和后向概率; 组合前向,后向和转移分支概率以生成用于输入向量的后验概率; 将相邻像素的值的后验概率边缘化,以在给定状态下为输入向量的像素生成一个后验概率,并将该像素从边缘化的后验概率解码为第一或第二逻辑状态。
    • 4. 发明授权
    • Systems and methods for improved encoding of data in data storage devices
    • 用于改进数据存储设备中数据编码的系统和方法
    • US09203434B1
    • 2015-12-01
    • US13417057
    • 2012-03-09
    • Shayan S. Garani
    • Shayan S. Garani
    • H03M13/11
    • H03M13/116H03M13/033H03M13/1168H03M13/1171H03M13/118
    • Some embodiments of the invention are directed to systems and methods for an optimized and efficient encoding scheme that can accommodate higher block lengths of data. Some embodiments generally relate to: (1) coding structures for a new class of LDPC matrices based on algebraic relations, and (2) encoding method that achieves the R=1−k/n exact bound on code rate. In addition, in some embodiments, the coding structures efficiently create matrices with excellent error-correcting properties and are devoid of short cycles (leading to robust performance). The implementations of the coding structures are scalable over a range of code rates and block lengths.
    • 本发明的一些实施例涉及可以适应更高块数据的优化和有效的编码方案的系统和方法。 一些实施例通常涉及:(1)基于代数关系的新类型的LDPC矩阵的编码结构,以及(2)实现R = 1-k / n对码率精确约束的编码方法。 此外,在一些实施例中,编码结构有效地创建具有优异的纠错特性的矩阵,并且没有短周期(导致稳健的性能)。 编码结构的实现在码率和块长度的范围内是可扩展的。
    • 5. 发明授权
    • Methods and devices for joint two-dimensional self-iterating equalization and detection
    • 用于联合二维自重均衡和检测的方法和装置
    • US08760782B1
    • 2014-06-24
    • US13404380
    • 2012-02-24
    • Shayan S. GaraniYiming Chen
    • Shayan S. GaraniYiming Chen
    • G11B20/10H04L27/06
    • G11B20/10046H04L25/03006H04L25/067H04L2025/03777
    • A disk drive is configured to decode data written over a plurality of data tracks using joint self-iterating soft equalization and an iterative turbo 2-D MAP-based detection, by performing soft self-iterating linear 2-D MMSE equalization on received input samples; computing MMSE estimates for coefficients of a 2-D equalization filter based on a-priori values, mean of the a-priori values, the 2-D filter and the received input samples; updating the coefficients of the 2-D filter using a variance based on the a-priori values when carrying out a first iteration and based on an extrinsic LLR when carrying out subsequent iterations; determining values of the individual bits in the input samples using the updated coefficients; computing an output LLR of each individual received sample based on the computed MMSE estimate, the mean and the variance, and computing the extrinsic LLR by subtracting a priori LLR from the output LLR.
    • 磁盘驱动器被配置为通过在接收的输入样本上执行软自迭代线性2-D MMSE均衡来解码使用联合自迭代软均衡和基于迭代turbo 2-D MAP的检测在多个数据轨道上写入的数据 ; 基于先验值,先验值的平均值,2-D滤波器和接收的输入采样来计算2-D均衡滤波器的系数的MMSE估计; 当进行第一次迭代时,使用基于先验值的方差来更新二维滤波器的系数,并且在进行后续迭代时基于外在LLR来更新二维滤波器的系数; 使用更新的系数确定输入样本中的各个比特的值; 基于所计算的MMSE估计,平均值和方差,计算每个单独接收样本的输出LLR,以及通过从输出LLR减去先验LLR来计算外在LLR。