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    • 11. 发明授权
    • Method and apparatus for efficient error detection and correction in long byte strings using generalized, integrated, interleaved reed-solomon codewords
    • 用于使用广义的,集成的,交错的簧片专用码字的长字节串中的有效误差检测和校正的方法和装置
    • US06275965B1
    • 2001-08-14
    • US09260717
    • 1999-03-01
    • Charles Edwin CoxMartin Aureliano HassnerArvind PatelBarry Marshall Trager
    • Charles Edwin CoxMartin Aureliano HassnerArvind PatelBarry Marshall Trager
    • H03M1329
    • G11B20/1833H03M13/1515H03M13/29H03M13/2903
    • A method and means for enhancing the error detection and correction capability obtained when a plurality of data byte strings are encoded in a two-level, block-formatted linear code using code word and block-level redundancy. This is accomplished by vector multiplication of N data byte vectors and a nonsingular invertible integration matrix with nonzero minors with order up to B to secure the necessary interleaving among N data byte vectors to form modified data byte vectors. The selected patterns of interleaving ensure single-pass, two-level linear block error correction coding when the modified data vectors are applied to an ECC encoding arrangement. The method and means are parameterized so as to either extend or reduce the number of bursty codewords or subblocks to which the block-level check bytes can be applied. Lastly, a post-encoding process is provided to “deinterleave” or redistribute the computed codewords into modified codewords such that the data vectors and their codeword check bytes are consistently located in the same codeword with the block-level check bytes are distributed among the first-level codewords.
    • 一种用于增强当使用代码字和块级冗余以两级块格式的线性代码编码多个数据字节串时获得的错误检测和校正能力的方法和装置。 这是通过N个数据字节向量和非奇异可逆积分矩阵与非零未成年人的向量乘法来实现的,阶数达到B以在N个数据字节向量之间保证必要的交织以形成修改的数据字节向量。 所选择的交织模式当将修改的数据向量应用于ECC编码装置时,确保单程,二级线性块纠错编码。 该方法和装置被参数化,以便扩展或减少可应用块级检查字节的突发码字或子块的数量。 最后,提供后编码处理以将所计算的码字“解交织”或重新分配为经修改的码字,使得数据向量及其码字校验字节一致地位于相同的码字中,其中块级校验字节分布在第一 级代码字。
    • 15. 发明授权
    • Multiple level (ML), integrated sector format (ISF), error correction code (ECC) encoding and decoding processes for data storage or communication devices and systems
    • 用于数据存储或通信设备和系统的多级(ML),集成扇区格式(ISF),纠错码(ECC)编码和解码过程
    • US06903887B2
    • 2005-06-07
    • US10040115
    • 2002-01-03
    • Hideo AsanoMartin Aureliano HassnerNyles Norbert HeiseTetsuya Tamura
    • Hideo AsanoMartin Aureliano HassnerNyles Norbert HeiseTetsuya Tamura
    • G11B5/012G11B5/09G11B20/18G11B27/36
    • G11B20/1866G11B5/012G11B5/09
    • A method and an apparatus encodes and decodes blocks having a predetermined number of sectors of data bytes to detect and correct data bytes in error in each sector of a block. The method and the apparatus generates sector level check bytes for each sector in the block responsive to the data bytes in each sector according to a first level of an error correction code, and generates block level check bytes for a predetermined sector in the block responsive to the sector level check bytes of various sectors, including the predetermined sector, according to at least a second level of the error correction code. The method and apparatus processes the block to detect and correct data bytes in error in each sector within the capability of the sector level check bytes, to detect and correct data bytes in error in the at least two sectors that exceed the correction capability of the sector level check bytes but within the correction capability of the block level check bytes, or to indicate that the data bytes in error in the at least two sectors exceed the correction capability of each of the sector level check bytes and the block level check bytes. The method and apparatus improves signal quality for long streams of information having multiple sequential physical blocks of data bytes, such as audio visual information, with a low check byte overhead while being compatible with conventional 512 data byte sized sectors and conventional single sector error correction code processes.
    • 一种方法和装置对具有预定数量的数据字节扇区的块进行编码和解码以检测和校正块的每个扇区中的错误数据字节。 该方法和装置响应于每个扇区中的数据字节根据纠错码的第一级产生块中的每个扇区的扇区级检查字节,并响应于该块中的预定扇区生成块级校验字节 根据纠错码的至少第二级别,包括预定扇区的各个扇区的扇区级检查字节。 所述方法和装置处理该块以在扇区级检查字节的能力内检测和校正每个扇区中的错误数据字节,以检测并校正超过扇区校正能力的至少两个扇区中的错误数据字节 级别检查字节,但在块级检查字节的校正能力内,或指示至少两个扇区中的错误数据字节超过扇区级检查字节和块级校验字节中的每一级的校正能力。 该方法和装置改善具有数据字节的多个连续物理块的长信息流的信号质量,例如视听信息,具有低检查字节开销,同时与传统的512个数据字节大小的扇区兼容,并且传统的单扇区纠错码 过程。
    • 17. 发明授权
    • System and method for error correction of digitized phase signals from MR/GMR head readback waveforms
    • 用于MR / GMR头回读波形数字化相位信号纠错的系统和方法
    • US06654924B1
    • 2003-11-25
    • US09675857
    • 2000-09-29
    • Martin Aureliano HassnerFrancesco RezziBarry Marshall Trager
    • Martin Aureliano HassnerFrancesco RezziBarry Marshall Trager
    • H03M1300
    • H03M13/095G11B20/1813H03M5/145H03M13/39
    • A system and method for algebraically correcting errors in complex digitized phase signals from a magneto-resistive or giant magneto-resistive (MR/GMR) head readback waveform includes a data state machine that encodes phase symbols into data bits in accordance with, e.g., the (1, 10) constraint and a parity state machine that generates parity symbols such that a single inserted parity symbol does not violate the (1, 7) constraint in a run length limited code and furthermore the data following the insertion will not violate the (1, 10) constraint in a run length limited code. The state machines can be used as a trellis to perform maximum likelihood decoding on received coded data, thus performing soft algebraic error detection on received data. The invention thus guarantees better overall error rate performance than hard decision post processing of blocks of detected bits by a parity check matrix which is otherwise vulnerable to loss of bit synchronization at high linear density recording.
    • 用于代数校正来自磁阻或巨磁阻(MR / GMR)磁头回读波形的复数数字相位信号中的误差的系统和方法包括:数据状态机,其将相位符号编码为数据位,例如, (1,10)约束和产生奇偶校验符号的奇偶校验状态机,使得单个插入的奇偶校验符号不违反游程长度限制代码中的(1,7)约束,此外,插入之后的数据将不会违反( 1,10)在运行长度限制代码中的约束。 状态机可以用作网格,对接收到的编码数据进行最大似然解码,从而对接收到的数据执行软代数误差检测。 因此,本发明保证比通过奇偶校验矩阵的硬判决后处理检测到的比特的更好的总体错误率性能,否则在高线性密度记录时易于丢失比特同步。
    • 19. 发明授权
    • Method for correcting a burst of errors plus random errors
    • 用于校正错误突发加随机错误的方法
    • US07272777B2
    • 2007-09-18
    • US10453550
    • 2003-06-04
    • Martin Aureliano HassnerBarry Marshall TragerShumel Winograd
    • Martin Aureliano HassnerBarry Marshall TragerShumel Winograd
    • H03M13/00
    • H03M13/15
    • An efficient method for finding all the possible corrections of a bust of length b and e random errors consists of finding a polynomial whose roots are the candidate location for l—the location of the beginning of the burst—thus avoiding the search over all possible values of l (it is assumed that the burst is non-trivial, i.e., at least one of its errors has a non-zero value). In order to reduce the number of spurious solutions, it is assumed that the number of syndromes is t=2e+b+s, where s is at least 2. The larger the value of s the less likely it is that the algorithm will generate “spurious” solutions. Once the location of the burst is known, standard procedures are used to determine the magnitudes of the burst errors and the location and magnitude of the random errors.
    • 发现长度为b和e的随机误差的所有可能的校正的有效方法包括找出一个多项式,其根是脉冲串开始位置的候选位置,从而避免搜索所有可能的值 (假设突发是不平凡的,即其错误中的至少一个具有非零值)。 为了减少杂散解的数量,假定综合征的数量为t = 2e + b + s,其中s为至少2. s的值越大,算法将产生的可能性越小 “虚假”解决方案。 一旦突发的位置是已知的,则使用标准程序来确定突发错误的大小以及随机误差的位置和幅度。