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    • 2. 发明申请
    • REED SOLOMON ERROR CORRECTING CIRCUIT AND METHOD AND DEVICE FOR EUCLIDEAN MUTUAL DIVISION
    • REED SOLOMON错误校正电路和用于EUCLIDEAN MUTUAL DIVISION的方法和设备
    • WO1997050184A1
    • 1997-12-31
    • PCT/JP1997002198
    • 1997-06-25
    • MATSUSHITA ELECTRIC INDUSTRIAL CO., LTD.OHTA, KazuhiroFUKUOKA, ToshihikoFUKUMOTO, Yoshihiko
    • MATSUSHITA ELECTRIC INDUSTRIAL CO., LTD.
    • H03M13/00
    • H03M13/159H03M13/15H03M13/1515H03M13/1535H03M13/1555
    • A Reed Solomon error correcting circuit comprises a syndrome generating circuit and an error correcting circuit that perform parallel operations through a two-stage pipeline process and the error correcting circuit can operate synchronously with a clock generated at a cycle which is 1/N (N is an integer of >/=1) the cycle of a receiving symbol clock. The error position polynomial or error evaluating polynomial calculating circuit of the error correcting circuit is constituted of a memory to which syndromes are inputted and a Galois field computing circuit connected to the memory and perform a high-speed processing with a small hardware area. In the Euclidean mutual division system which finds the error position polynomial by performing Galois field computation from a syndrome equation S(z)=Sk-1zk-1+Sk-2zk-2+...+SO, the number of Galois field computations can be reduced by initializing in the following way: M(z)=1 and B(z)=Sk-1zk-1+Sk-2zk-2+...SO and from the coefficients of the syndrome equation S(z), A(z)=Sk-2zk-1+Sk-3zk-2+...SOz and L(z)=z.
    • 里德所罗门误差校正电路包括通过两级流水线处理执行并行操作的校正子产生电路和纠错电路,并且纠错电路可以与在1 / N(N是 一个> / = 1的整数)接收符号时钟的周期。 误差校正电路的误差位置多项式或误差评估多项式计算电路由输入校正子的存储器和连接到存储器的伽罗瓦域计算电路构成,并执行小硬件区域的高速处理。 在通过从综合征方程S(z)= Sk-1zk-1 + Sk-2zk-2 + ... + SO执行伽罗瓦域计算找到误差位置多项式的欧几里德相互分割系统中,伽罗瓦域计算的数量 可以通过以下方式初始化:M(z)= 1和B(z)= Sk-1zk-1 + Sk-2zk-2 + ... SO,并且根据校正子方程S(z) ,A(z)= Sk-2zk-1 + Sk-3zk-2 + ... SOz和L(z)= z。
    • 3. 发明申请
    • PIPELINED ERROR CORRECTING DECODING
    • 管道错误纠正解码
    • WO2007069183A2
    • 2007-06-21
    • PCT/IB2006/054745
    • 2006-12-11
    • KONINKLIJKE PHILIPS ELECTRONICS N.V.KUMAR, AkashSAWITZKI, Sergei
    • KUMAR, AkashSAWITZKI, Sergei
    • H03M13/15
    • H03M13/1555H03M13/1515H03M13/1525H03M13/6575
    • Respective symbols of received data words are input in successively starting symbol cycles. Syndromes for received data words from are computed from the symbols, an effect of each received symbol being computed in a respective one of the symbol cycles. The syndromes determine key equations. The key equations are solved and coefficients of an error locator polynomial for the received data word are computed from a combination of syndromes for each received data word in iterative steps. Each iterative step is performed in a respective key equation solver cycle. The key equation solver cycles occur at a first average frequency which is lower than a second average frequency of the start of symbol cycles. Corrections to the received data words are computed from solutions of the key equations. A correction to each respective symbol being output in a respective one of the symbol cycles. The computing of syndromes, solving and computing corrections is performed pipelined with one another.
    • 接收的数据字的相应符号以连续的起始符号周期输入。 用于从符号计算的接收到的数据字的综合征,每个接收的符号在相应的符号周期中被计算的效果。 综合征确定关键方程。 求解关键方程,并从迭代步骤中针对每个接收到的数据字的校正子的组合计算接收数据字的误差定位多项式的系数。 每个迭代步骤在相应的关键方程求解循环中执行。 关键方程求解器周期发生在低于符号周期开始的第二平均频率的第一平均频率。 对关键方程的解决方案计算接收数据字的校正。 每个符号周期中相应的符号周期中输出每个相应符号的校正。 综合症的计算,求解和计算校正是彼此流水线进行的。
    • 5. 发明申请
    • DUAL CHIEN SEARCH BLOCKS IN AN ERROR-CORRECTING DECODER
    • DUAL CHIEN在错误修正解码器中搜索块
    • WO2003063364A1
    • 2003-07-31
    • PCT/US2003/001995
    • 2003-01-22
    • THOMSON LICENSING S.A.LITWIN, JR., Louis, RobertVELEZ, Didier
    • LITWIN, JR., Louis, RobertVELEZ, Didier
    • H03M13/15
    • H03M13/1555H03M13/15H03M13/1545H03M13/1585
    • A decoder and decoding method in which a syndrome generator (410) calculates a syndrome vector from an erroneous codeword, an error location polynominal generator (420) calculates an error location polynominal from the syndrome vector, an error location generator (430) determines an error location from the error location polynominal, an error magnitude generator (440) calculates an error magnitude from the error location polynominal and a corrected codeword generator (450) corrects the codeword responsive to the error location and magnitude. In an intra-decoder block messaging scheme, one or more components (410, 420, 430, 440, 450) generate inactivity messages (640, 650) to signal an ability to process data corresponding to a next codeword. In a dual Chien search block (930, 940) implementation, a Chien block (930) is used to determine the number of errors in a specified code word, separately from the error location and magnitude calculations performed by a Chien-Forney block (940).
    • 一种解码器和解码方法,其中校正子发生器(410)从错误码字计算校正子向量,错误位置多项式生成器(420)根据校正子向量计算多项式误差位置,错误位置生成器(430)确定错误 错误幅度发生器(440)从误差位置多项式计算误差幅度,校正码字发生器(450)响应于误差位置和幅度来校正码字。 在解码器内块消息传送方案中,一个或多个组件(410,420,430,440,450)产生不活动消息(640,650),以发送处理与下一个码字对应的数据的能力。 在双Chien搜索块(930,940)的实施中,Chien块(930)用于确定指定码字中的错误数,与Chien-Forney块(940 )。
    • 6. 发明申请
    • PIPELINED HIGH SPEED REED-SOLOMON ERROR/ERASURE DECODER
    • 管道式高速反应器错误/擦除解码器
    • WO00057561A1
    • 2000-09-28
    • PCT/US2000/007675
    • 2000-03-22
    • H03M13/15
    • H03M13/1555H03M13/1515H03M13/154
    • The pipelined high speed Reed-Solomon error/erasure decoder processes multiple code words in a pipelined fashion. The pipelined high speed Reed-Solomon error/erasure decoder is designed to process Reed-Solomon encoded words that have been corrupted in a digital system by processing errors as well as erasures through a simple iterative modified syndrome process. The iterative nature of this method provides for limited computational effort at each step of the pipeline. This allows the pipelined high speed Reed-Solomon error/erasure decoder to easily handle full or shortened Reed-Solomon codes, as well as parallel processing to achieve higher data rates. The iterative modified syndrome process is one of the pipelined steps. It relieves the erasure pre-shifting burden from the Berlekamp/Massey synthesis process, which reduces the number of cycles required at that stage of processing. The decoder proceeds classically with a Chien Search for any remaining error locations. This approach allows the pipelined high speed Reed-Solomon error/erasure decoder to relay early information on all error locations. The final stage of the decoding process is a parallel, iterative solution to Forney's equation for the calculation of the error magnitudes.
    • 流水线高速Reed-Solomon错误/擦除解码器以流水线方式处理多个代码字。 流水线高速里德 - 所罗门错误/擦除解码器旨在通过处理错误以及通过简单的迭代修改综合征过程进行擦除来处理在数字系统中损坏的里德 - 所罗门编码的字。 该方法的迭代性质在流水线的每个步骤提供有限的计算工作。 这允许流水线高速里德 - 所罗门错误/擦除解码器轻松处理完整或缩短的里德 - 所罗门码,以及并行处理以实现更高的数据速率。 迭代修正综合征过程是流水线步骤之一。 它可以减轻Berlekamp / Massey合成过程中的擦除预先转移的负担,从而减少了处理阶段所需的循环次数。 解码器通过Chien搜索经历了任何剩余的错误位置。 这种方法允许流水线高速里德 - 所罗门错误/擦除解码器在所有错误位置上传递早期信息。 解码过程的最后阶段是用于计算误差幅度的Forney方程的并行迭代解。
    • 10. 发明申请
    • DECODER AND DECODING METHOD
    • 解码和解码方法
    • WO01073952A1
    • 2001-10-04
    • PCT/JP2001/002522
    • 2001-03-27
    • G06F11/10H03M13/15H03M13/37H04L1/00
    • H03M13/1555H03M13/15H03M13/1515H03M13/1535H03M13/37
    • A decoder for preventing error correction during decoding an extended Reed-Solomon code comprises a section for calculating an input data syndrome from input data calculating a corrected data syndrome from first correction data determined from the input data, an evaluation polynomial/position polynomial deriving section for outputting the coefficient of each order of an error evaluation polynomial and an error position polynomial based on the input data syndrome and the magnitude of an error, a chain search section for outputting the root of the error position polynomial, and an error correcting section for outputting error-corrected input data as first corrected data when an error exist in the input data otherwise outputting the input data as the first corrected data and outputting a restored input data as second corrected data when an error exist in the first corrected data otherwise outputting the first corrected data as the second corrected data.
    • 一种用于在扩展的里德 - 所罗门码解码期间防止误差校正的解码器,包括:用于根据从输入数据确定的第一校正数据计算校正数据校正子的输入数据计算输入数据校正子的部分;评估多项式/位置多项式导出部分, 输出基于输入数据校正子和误差大小的误差评估多项式和误差位置多项式的系数,用于输出误差位置多项式的根的链搜索部分和用于输出误差校正部分的误差校正部分 纠错输入数据作为第一校正数据,当在输入数据中存在错误时,否则输出输入数据作为第一校正数据,并且当第一校正数据中存在错误时输出恢复的输入数据作为第二校正数据,否则输出第一校正数据 校正数据作为第二校正数据。