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1. 发明申请

US20130013983A1 STRUCTURED LOW-DENSITY PARITY-CHECK (LDPC) CODE 审中-公开
标题翻译：结构化低密度奇偶校验（LDPC）代码
公开(公告)号：US20130013983A1
公开(公告)日：2013-01-10
申请号：US13619420
申请日：2012-09-14
申请人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
发明人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
IPC分类号： H03M13/05
CPC分类号： H03M13/1111 , H03M13/1137 , H03M13/114 , H03M13/116 , H03M13/118 , H03M13/1185 , H03M13/1188 , H03M13/618 , H03M13/6362 , H03M13/6368 , H03M13/6393 , H04L1/0057 , H04L1/0068
摘要： Example methods are disclosed for encoding variable sized data using a low-density parity-check (LDPC) code, and transporting the encoded variable sized data in modulated symbols. Example methods involve calculating a minimum number of modulated symbols capable of transmitting a data packet; selecting a codeword size suitable for transmitting the data packet; calculating a number of shortening Nshortened bits; and calculating a number of puncturing Npunctured bits, to thereby produce a shortened and punctured expanded parity check matrix for transmitting the data packet.
摘要翻译：公开了用于使用低密度奇偶校验（LDPC）码对可变大小的数据进行编码，以及以调制符号传输编码的可变大小数据的示例方法。示例性方法包括计算能够发送数据分组的调制符号的最小数量; 选择适于发送所述数据分组的码字大小; 计算一些缩短Nshortened位; 以及计算穿孔Npunctured比特的数量，从而产生用于发送数据分组的缩小和打孔的扩展奇偶校验矩阵。

2. 发明申请

US20100211847A1 STRUCTURED LOW-DENSITY PARITY-CHECK (LDPC) CODE 失效
标题翻译：结构化低密度奇偶校验（LDPC）代码
公开(公告)号：US20100211847A1
公开(公告)日：2010-08-19
申请号：US12704850
申请日：2010-02-12
申请人： MICHAEL LIVSHITZ , ALEKSANDAR PURKOVIC , NINA BURNS , SERGEY SUKHOBOK , MUHAMMAD CHAUDHRY
发明人： MICHAEL LIVSHITZ , ALEKSANDAR PURKOVIC , NINA BURNS , SERGEY SUKHOBOK , MUHAMMAD CHAUDHRY
IPC分类号： H03M13/05 , G06F11/10
CPC分类号： H03M13/1111 , H03M13/1137 , H03M13/114 , H03M13/116 , H03M13/118 , H03M13/1185 , H03M13/1188 , H03M13/618 , H03M13/6362 , H03M13/6368 , H03M13/6393 , H04L1/0057 , H04L1/0068
摘要： A method for constructing a low-density parity-check (LDPC) code using a structured base parity check matrix with permutation matrix, pseudo-permutation matrix, or zero matrix as constituent sub-matrices; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for constructing a LDPC code using a structured base parity check matrix H=[Hd|Hp], Hd is the data portion, and Hp is the parity portion of the parity check matrix; the parity portion of the structured base parity check matrix is such so that when expanded, an inverse of the parity portion of the expanded parity check matrix is sparse; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for encoding variable sized data by using the expanded LDPC code; and applying shortening, puncturing.
摘要翻译：一种使用具有置换矩阵，伪置换矩阵或零矩阵的结构化基本奇偶校验矩阵作为组成子矩阵来构造低密度奇偶校验（LDPC）码的方法; 并将结构化基本奇偶校验矩阵扩展成扩展奇偶校验矩阵。使用结构化基本奇偶校验矩阵H = [Hd | Hp]，Hd构造LDPC码的方法是数据部分，Hp是奇偶校验矩阵的奇偶校验部分; 结构化基本奇偶校验矩阵的奇偶校验部分使得当扩展时，扩展奇偶校验矩阵的奇偶校验部分的倒数是稀疏的; 并将结构化基本奇偶校验矩阵扩展成扩展奇偶校验矩阵。一种通过使用扩展的LDPC码对可变大小的数据进行编码的方法; 并应用缩短，穿刺。

3. 发明申请

US20090259915A1 Structured low-density parity-check (ldpc) code 有权
标题翻译：结构化低密度奇偶校验（ldpc）代码
公开(公告)号：US20090259915A1
公开(公告)日：2009-10-15
申请号：US11665171
申请日：2005-10-12
申请人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
发明人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
IPC分类号： H03M13/11 , G06F11/10
CPC分类号： H03M13/1111 , H03M13/1137 , H03M13/114 , H03M13/116 , H03M13/118 , H03M13/1185 , H03M13/1188 , H03M13/618 , H03M13/6362 , H03M13/6368 , H03M13/6393 , H04L1/0057 , H04L1/0068
摘要： The invention introduces an apparatus, method and system that allow coding matrices to be expanded to accommodate various information packet sizes and support for various code rates; additionally the invention defines a number of coding matrices particularly suited to the methodology. The invention enables high throughput implementations, allows achieving low latency, and offers other numerous implementation benefits. At the same time, the new parity part of the matrix preserves the simple (recursive) encoding feature.
摘要翻译：本发明引入了允许扩展编码矩阵以适应各种信息分组大小并支持各种码率的装置，方法和系统; 此外，本发明定义了特别适合该方法的多个编码矩阵。本发明实现了高吞吐量实现，允许实现低延迟，并且提供了其它许多实现益处。同时，矩阵的新的奇偶校验部分保留简单（递归）编码特征。

4. 发明授权

US08301975B2 Structured low-density parity-check (LDPC) code 有权
标题翻译：结构化低密度奇偶校验（LDPC）码
公开(公告)号：US08301975B2
公开(公告)日：2012-10-30
申请号：US13156942
申请日：2011-06-09
申请人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
发明人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
IPC分类号： H03M13/00
CPC分类号： H03M13/1111 , H03M13/1137 , H03M13/114 , H03M13/116 , H03M13/118 , H03M13/1185 , H03M13/1188 , H03M13/618 , H03M13/6362 , H03M13/6368 , H03M13/6393 , H04L1/0057 , H04L1/0068
摘要： A method for constructing a low-density parity-check (LDPC) code using a structured base parity check matrix with permutation matrix, pseudo-permutation matrix, or zero matrix as constituent sub-matrices; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for constructing a LDPC code using a structured base parity check matrix H=[Hd|Hp], Hd is the data portion, and Hp is the parity portion of the parity check matrix; the parity portion of the structured base parity check matrix is such so that when expanded, an inverse of the parity portion of the expanded parity check matrix is sparse; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for encoding variable sized data by using the expanded LDPC code; and applying shortening, puncturing.
摘要翻译：一种使用具有置换矩阵，伪置换矩阵或零矩阵的结构化基本奇偶校验矩阵作为组成子矩阵来构造低密度奇偶校验（LDPC）码的方法; 并将结构化基本奇偶校验矩阵扩展成扩展奇偶校验矩阵。使用结构化基本奇偶校验矩阵H = [Hd | Hp]，Hd构造LDPC码的方法是数据部分，Hp是奇偶校验矩阵的奇偶校验部分; 结构化基本奇偶校验矩阵的奇偶校验部分使得当扩展时，扩展奇偶校验矩阵的奇偶校验部分的倒数是稀疏的; 并将结构化基本奇偶校验矩阵扩展成扩展奇偶校验矩阵。一种通过使用扩展的LDPC码对可变大小的数据进行编码的方法; 并应用缩短，穿刺。

5. 发明授权

US08024641B2 Structured low-density parity-check (LDPC) code 失效
标题翻译：结构化低密度奇偶校验（LDPC）码
公开(公告)号：US08024641B2
公开(公告)日：2011-09-20
申请号：US12704850
申请日：2010-02-12
申请人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
发明人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
IPC分类号： H03M13/00
CPC分类号： H03M13/1111 , H03M13/1137 , H03M13/114 , H03M13/116 , H03M13/118 , H03M13/1185 , H03M13/1188 , H03M13/618 , H03M13/6362 , H03M13/6368 , H03M13/6393 , H04L1/0057 , H04L1/0068
摘要： A method for constructing a low-density parity-check (LDPC) code using a structured base parity check matrix with permutation matrix, pseudo-permutation matrix, or zero matrix as constituent sub-matrices; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for constructing a LDPC code using a structured base parity check matrix H=[Hd|Hp], Hd is the data portion, and Hp is the parity portion of the parity check matrix; the parity portion of the structured base parity check matrix is such so that when expanded, an inverse of the parity portion of the expanded parity check matrix is sparse; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for encoding variable sized data by using the expanded LDPC code; and applying shortening, puncturing.
摘要翻译：一种使用具有置换矩阵，伪置换矩阵或零矩阵的结构化基本奇偶校验矩阵作为组成子矩阵来构造低密度奇偶校验（LDPC）码的方法; 并将结构化基本奇偶校验矩阵扩展成扩展奇偶校验矩阵。使用结构化基本奇偶校验矩阵H = [Hd | Hp]，Hd构造LDPC码的方法是数据部分，Hp是奇偶校验矩阵的奇偶校验部分; 结构化基本奇偶校验矩阵的奇偶校验部分使得当扩展时，扩展奇偶校验矩阵的奇偶校验部分的倒数是稀疏的; 并将结构化基本奇偶校验矩阵扩展成扩展奇偶校验矩阵。一种通过使用扩展的LDPC码对可变大小的数据进行编码的方法; 并应用缩短，穿刺。

6. 发明授权

US07996746B2 Structured low-density parity-check (LDPC) code 有权
公开(公告)号：US07996746B2
公开(公告)日：2011-08-09
申请号：US11665171
申请日：2005-10-12
申请人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
发明人： Michael Livshitz , Aleksandar Purkovic , Nina Burns , Sergey Sukhobok , Muhammad Chaudhry
IPC分类号： H03M13/00
CPC分类号： H03M13/1111 , H03M13/1137 , H03M13/114 , H03M13/116 , H03M13/118 , H03M13/1185 , H03M13/1188 , H03M13/618 , H03M13/6362 , H03M13/6368 , H03M13/6393 , H04L1/0057 , H04L1/0068
摘要： A method for constructing a low-density parity-check (LDPC) code using a structured base parity check matrix with permutation matrix, pseudo-permutation matrix, or zero matrix as constituent sub-matrices; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for constructing a LDPC code using a structured base parity check matrix H=[Hd|Hp], Hd is the data portion, and Hp is the parity portion of the parity check matrix; the parity portion of the structured base parity check matrix is such so that when expanded, an inverse of the parity portion of the expanded parity check matrix is sparse; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for encoding variable sized data by using the expanded LDPC code; and applying shortening, puncturing.

7. 发明授权

US07260763B2 Algebraic low-density parity check code design for variable block sizes and code rates 有权
标题翻译：代数低密度奇偶校验码设计用于可变块大小和码率
公开(公告)号：US07260763B2
公开(公告)日：2007-08-21
申请号：US10798110
申请日：2004-03-11
申请人： Sergey Sukhobok , Nina Burns , Aleksandar Purkovic
发明人： Sergey Sukhobok , Nina Burns , Aleksandar Purkovic
IPC分类号： H03M13/00
CPC分类号： H03M13/116 , H03M13/118 , H03M13/1185
摘要： A higher code rate Low-Density Parity Check (LDPC) matrix may be designed by concatenating additional matrices to a π-rotation parity check matrix. The concatenated matrix may be selected such that the resultant LDPC matrix exhibits good expansion characteristics to enable the LDPC matrix to be used with variable block length codes. The codes may be designed by generating an ensemble of available codes, encoding them with information vectors of weight 1 and 2 and discarding codes with a low minimum distance. The approximate upper bounds for the remaining codes are then calculated and a small set of codes with the lowest bound under high signal to noise ratio is selected. The girth distributions for the remaining codes are then calculated and the code that has the minimum number of short cycles is selected. The selected code is concatenated to the original π-rotation parity check matrix.
摘要翻译：可以通过将附加矩阵连接到pi旋转奇偶校验矩阵来设计更高码率的低密度奇偶校验（LDPC）矩阵。可以选择级联矩阵，使得所得到的LDPC矩阵表现出良好的扩展特性，以使LDPC矩阵能够与可变块长度码一起使用。可以通过生成可用代码的集合来设计代码，使用权重1和2的信息向量对其进行编码，并且丢弃具有低最小距离的代码。然后计算剩余码的近似上限，并选择在高信噪比下具有最低限度的一小组代码。然后计算剩余代码的周长分布，并选择具有最小数量的短周期的代码。所选代码被连接到原始的pi旋转奇偶校验矩阵。

8. 发明申请

US20110307755A1 STRUCTURED LOW-DENSITY PARITY-CHECK (LDPC) CODE 有权
标题翻译：结构化低密度奇偶校验（LDPC）代码
公开(公告)号：US20110307755A1
公开(公告)日：2011-12-15
申请号：US13156942
申请日：2011-06-09
申请人： Michael LIVSHITZ , Aleksandar PURKOVIC , Nina BURNS , Sergey SUKHOBOK , Muhammad CHAUDHRY
发明人： Michael LIVSHITZ , Aleksandar PURKOVIC , Nina BURNS , Sergey SUKHOBOK , Muhammad CHAUDHRY
IPC分类号： H03M13/05 , G06F11/10
CPC分类号： H03M13/1111 , H03M13/1137 , H03M13/114 , H03M13/116 , H03M13/118 , H03M13/1185 , H03M13/1188 , H03M13/618 , H03M13/6362 , H03M13/6368 , H03M13/6393 , H04L1/0057 , H04L1/0068
摘要： A method for constructing a low-density parity-check (LDPC) code using a structured base parity check matrix with permutation matrix, pseudo-permutation matrix, or zero matrix as constituent sub-matrices; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for constructing a LDPC code using a structured base parity check matrix H=[Hd|Hp], Hd is the data portion, and Hp is the parity portion of the parity check matrix; the parity portion of the structured base parity check matrix is such so that when expanded, an inverse of the parity portion of the expanded parity check matrix is sparse; and expanding the structured base parity check matrix into an expanded parity check matrix. A method for encoding variable sized data by using the expanded LDPC code; and applying shortening, puncturing.
摘要翻译：一种使用具有置换矩阵，伪置换矩阵或零矩阵的结构化基本奇偶校验矩阵作为组成子矩阵来构造低密度奇偶校验（LDPC）码的方法; 并将结构化基本奇偶校验矩阵扩展成扩展奇偶校验矩阵。使用结构化基本奇偶校验矩阵H = [Hd | Hp]，Hd构造LDPC码的方法是数据部分，Hp是奇偶校验矩阵的奇偶校验部分; 结构化基本奇偶校验矩阵的奇偶校验部分使得当扩展时，扩展奇偶校验矩阵的奇偶校验部分的倒数是稀疏的; 并将结构化基本奇偶校验矩阵扩展成扩展奇偶校验矩阵。一种通过使用扩展的LDPC码对可变大小的数据进行编码的方法; 并应用缩短，穿刺。

9. 发明申请

US20050204253A1 Algebraic low-density parity check code design for variable block sizes and code rates 有权
标题翻译：代数低密度奇偶校验码设计用于可变块大小和码率
公开(公告)号：US20050204253A1
公开(公告)日：2005-09-15
申请号：US10798110
申请日：2004-03-11
申请人： Sergey Sukhobok , Nina Burns , Aleksandar Purkovic
发明人： Sergey Sukhobok , Nina Burns , Aleksandar Purkovic
IPC分类号： H03M13/00 , H03M13/11
CPC分类号： H03M13/116 , H03M13/118 , H03M13/1185
摘要： A higher code rate Low-Density Parity Check (LDPC) matrix may be designed by concatenating additional matrices to a π-rotation parity check matrix. The concatenated matrix may be selected such that the resultant LDPC matrix exhibits good expansion characteristics to enable the LDPC matrix to be used with variable block length codes. The codes may be designed by generating an ensemble of available codes, encoding them with information vectors of weight 1 and 2 and discarding codes with a low minimum distance. The approximate upper bounds for the remaining codes are then calculated and a small set of codes with the lowest bound under high signal to noise ratio is selected. The girth distributions for the remaining codes are then calculated and the code that has the minimum number of short cycles is selected. The selected code is concatenated to the original v-rotation parity check matrix.
摘要翻译：可以通过将附加矩阵连接到pi旋转奇偶校验矩阵来设计更高码率的低密度奇偶校验（LDPC）矩阵。可以选择级联矩阵，使得所得到的LDPC矩阵表现出良好的扩展特性，以使LDPC矩阵能够与可变块长度码一起使用。可以通过生成可用代码的集合来设计代码，使用权重1和2的信息向量对其进行编码，并且丢弃具有低最小距离的代码。然后计算剩余码的近似上限，并选择在高信噪比下具有最低限度的一小组代码。然后计算剩余代码的周长分布，并选择具有最小数量的短周期的代码。所选代码被连接到原始的v-旋转奇偶校验矩阵。

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