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US20170187392A1 - Data processing device and data processing method - Google Patents

Data processing device and data processing method Download PDF

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Publication number
US20170187392A1
US20170187392A1 US15/118,331 US201515118331A US2017187392A1 US 20170187392 A1 US20170187392 A1 US 20170187392A1 US 201515118331 A US201515118331 A US 201515118331A US 2017187392 A1 US2017187392 A1 US 2017187392A1
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Prior art keywords
parity check
check matrix
code
ldpc code
bits
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Ryoji IKEGAYA
Makiko YAMAMOTO
Yuji Shinohara
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Saturn Licensing LLC
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Sony Corp
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Publication of US20170187392A1 publication Critical patent/US20170187392A1/en
Assigned to SATURN LICENSING LLC reassignment SATURN LICENSING LLC ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: SONY CORPORATION
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/27Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes using interleaving techniques
    • H03M13/2792Interleaver wherein interleaving is performed jointly with another technique such as puncturing, multiplexing or routing
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1105Decoding
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1148Structural properties of the code parity-check or generator matrix
    • H03M13/116Quasi-cyclic LDPC [QC-LDPC] codes, i.e. the parity-check matrix being composed of permutation or circulant sub-matrices
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1148Structural properties of the code parity-check or generator matrix
    • H03M13/116Quasi-cyclic LDPC [QC-LDPC] codes, i.e. the parity-check matrix being composed of permutation or circulant sub-matrices
    • H03M13/1165QC-LDPC codes as defined for the digital video broadcasting [DVB] specifications, e.g. DVB-Satellite [DVB-S2]
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/11Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
    • H03M13/1102Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1148Structural properties of the code parity-check or generator matrix
    • H03M13/118Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure
    • H03M13/1185Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure wherein the parity-check matrix comprises a part with a double-diagonal
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/25Error detection or forward error correction by signal space coding, i.e. adding redundancy in the signal constellation, e.g. Trellis Coded Modulation [TCM]
    • H03M13/255Error detection or forward error correction by signal space coding, i.e. adding redundancy in the signal constellation, e.g. Trellis Coded Modulation [TCM] with Low Density Parity Check [LDPC] codes
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/27Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes using interleaving techniques
    • H03M13/2778Interleaver using block-wise interleaving, e.g. the interleaving matrix is sub-divided into sub-matrices and the permutation is performed in blocks of sub-matrices
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/61Aspects and characteristics of methods and arrangements for error correction or error detection, not provided for otherwise
    • H03M13/615Use of computational or mathematical techniques
    • H03M13/616Matrix operations, especially for generator matrices or check matrices, e.g. column or row permutations
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0057Block codes
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0071Use of interleaving
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/18Phase-modulated carrier systems, i.e. using phase-shift keying
    • H04L27/20Modulator circuits; Transmitter circuits
    • H04L27/2032Modulator circuits; Transmitter circuits for discrete phase modulation, e.g. in which the phase of the carrier is modulated in a nominally instantaneous manner
    • H04L27/2053Modulator circuits; Transmitter circuits for discrete phase modulation, e.g. in which the phase of the carrier is modulated in a nominally instantaneous manner using more than one carrier, e.g. carriers with different phases
    • H04L27/206Modulator circuits; Transmitter circuits for discrete phase modulation, e.g. in which the phase of the carrier is modulated in a nominally instantaneous manner using more than one carrier, e.g. carriers with different phases using a pair of orthogonal carriers, e.g. quadrature carriers

Definitions

  • the present technology relates to a data processing device and a data processing method, and more particularly, to a data processing device and a data processing method which can ensure high communication quality in data transmission using, for example, an LDPC code.
  • a low density parity check (LDPC) code has a high error correction capability and has been widely adopted in transmission systems for digital broadcasting, for example, Digital Video Broadcasting (DVB)-S.2, DVB-T.2, and DVB-C.2 used in Europe, and Advanced Television Systems Committee (ATSC) 3.0 used in the U.S. (for example, see Non-Patent Document 1).
  • DVD Digital Video Broadcasting
  • DVB-T.2 DVB-T.2
  • DVB-C.2 used in Europe
  • ATSC Advanced Television Systems Committee 3.0 used in the U.S.
  • the recent study shows that the performance of an LDPC code becomes closer to a Shannon limit as the code length thereof becomes larger, similar to a turbo code.
  • the LDPC code has the property that the shortest distance is proportional to the code length. Therefore, the LDPC code has the advantages that block error probability characteristics are excellent and a so-called error floor phenomenon which is observed in the decoding characteristics of, for example, a turbo code rarely occurs.
  • an LDPC code serves as a symbol (changes to a symbol) of quadrature modulation (digital modulation), such as quadrature phase shift keying (QPSK), and the symbol is mapped to a signal point of the quadrature modulation and is transmitted.
  • quadrature modulation digital modulation
  • QPSK quadrature phase shift keying
  • the present technology has been made in view of the above-mentioned problems and an objective of the present technology is to ensure high communication quality in data transmission using LDPC codes.
  • a first data processing device/method includes: a coding unit/step that performs LDPC coding on the basis of a parity check matrix of an LDPC code having a code length N of 64800 bits and a coding rate r of 9/15; a group-wise interleaving unit/step that performs group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits; and a mapping unit/step that maps the LDPC code to any one of four signal points which are determined by a modulation method in a unit of 2 bits.
  • an (i+1)-th bit group from a head of the LDPC code is set as a bit group i and a sequence of bit groups 0 to 179 of the 64800-bit LDPC code is interleaved into a sequence of the following bit groups.
  • the LDPC code includes information bits and parity bits.
  • the parity check matrix includes an information matrix portion corresponding to the information bits and a parity matrix portion corresponding to the parity bits.
  • the information matrix portion is represented by a parity check matrix initial value table.
  • the parity check matrix initial value table indicates positions of elements “1” in the information matrix portion for every 360 columns and includes the following.
  • the LDPC coding is performed on the basis of the parity check matrix of the LDPC code having a code length N of 64800 bits and a coding rate r of 9/15.
  • the group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits is performed.
  • the LDPC code is mapped to any one of four signal points which are determined by the modulation method in a unit of 2 bits.
  • the (i+1)-th bit group from the head of the LDPC code is set as the bit group i and a sequence of bit groups 0 to 179 of the 64800-bit LDPC code is interleaved into a sequence of the following bit groups.
  • the LDPC code includes the information bits and the parity bits.
  • the parity check matrix includes the information matrix portion corresponding to the information bits and the parity matrix portion corresponding to the parity bits.
  • the information matrix portion is represented by the parity check matrix initial value table.
  • the parity check matrix initial value table indicates the positions of the elements “1” in the information matrix portion for every 360 columns and includes the following.
  • a second data processing device/method includes: a group-wise deinterleaving unit/step that returns a sequence of an LDPC code, which has been subjected to group-wise interleaving and is obtained from data transmitted from a transmitting device, to an original sequence.
  • the transmitting device includes: a coding unit that performs LDPC coding on the basis of a parity check matrix of the LDPC code having a code length N of 64800 bits and a coding rate r of 9/15; a group-wise interleaving unit that performs the group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits; and a mapping unit that maps the LDPC code to any one of four signal points which are determined by a modulation method in a unit of 2 bits.
  • an (i+1)-th bit group from a head of the LDPC code is set as a bit group i and a sequence of bit groups 0 to 179 of the 64800-hit LDPC code is interleaved into a sequence of the following bit groups.
  • the LDPC code includes information bits and parity bits.
  • the parity check matrix includes an information matrix portion corresponding to the information bits and a parity matrix portion corresponding to the parity bits.
  • the information matrix portion is represented by a parity check matrix initial value table.
  • the parity check matrix initial value table indicates positions of elements “1” in the information matrix portion for every 360 columns and includes the following.
  • the transmitting device includes: the coding unit that performs LDPC coding on the basis of the parity check matrix of the LDPC code having a code length N of 64800 bits and a coding rate r of 9/15; the group-wise interleaving unit that performs the group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits; and the mapping unit that maps the LDPC code to anyone of four signal points which are determined by the modulation method in a unit of 2 bits.
  • the (i+1)-th bit group from the head of the LDPC code is set as the bit group i and a sequence of bit groups 0 to 179 of the 64800-bit LDPC code is interleaved into a sequence of the following bit groups.
  • the LDPC code includes the information bits and the parity bits.
  • the parity check matrix includes the information matrix portion corresponding to the information bits and the parity matrix portion corresponding to the parity bits.
  • the information matrix portion is represented by the parity check matrix initial value table.
  • the parity check matrix initial value table indicates positions of elements “1” in the information matrix portion for every 360 columns and includes the following. A sequence of the bit groups of the LDPC code, which has been subjected to the group-wise interleaving and is obtained from the data transmitted from the transmitting device, is returned to the original sequence.
  • a third data processing device/method includes: a coding unit/step that performs LDPC coding on the basis of a parity check matrix of an LDPC code having a code length N of 64800 bits and a coding rate r of 9/15; a group-wise interleaving unit/step that performs group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits; and a mapping unit/step that maps the LDPC code to any one of 16 signal points which are determined by a modulation method in a unit of 4 bits.
  • an (i+1)-th bit group from a head of the LDPC code is set as a bit group i and a sequence of bit groups 0 to 179 of the 64800-bit LDPC code is interleaved into a sequence of the following bit groups.
  • the LDPC code includes information bits and parity bits.
  • the parity check matrix includes an information matrix portion corresponding to the information bits and a parity matrix portion corresponding to the parity bits.
  • the information matrix portion is represented by a parity check matrix initial value table.
  • the parity check matrix initial value table indicates positions of elements “1” in the information matrix portion for every 360 columns and includes the following.
  • the LDPC coding is performed on the basis of the parity check matrix of the LDPC code having a code length N of 64800 bits and a coding rate r of 9/15.
  • the group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits is performed.
  • the LDPC code is mapped to any one of 16 signal points which are determined by the modulation method in a unit of 4 bits.
  • the (i+1)-th bit group from the head of the LDPC code is set as the bit group i and a sequence of bit groups 0 to 179 of the 64800-bit LDPC code is interleaved into a sequence of the following bit groups.
  • the LDPC code includes the information bits and the parity bits.
  • the parity check matrix includes the information matrix portion corresponding to the information bits and the parity matrix portion corresponding to the parity bits.
  • the information matrix portion is represented by the parity check matrix initial value table.
  • the parity check matrix initial value table indicates the positions of the elements “1” in the information matrix portion for every 360 columns and includes the following.
  • a fourth data processing device/method to the present technology includes a group-wise deinterleaving unit/step that returns a sequence of an LDPC code, which has been subjected to group-wise interleaving and is obtained from data transmitted from a transmitting device, to an original sequence.
  • the transmitting device includes: a coding unit that performs LDPC coding on the basis of a parity check matrix of the LDPC code having a code length N of 64800 bits and a coding rate r of 9/15; a group-wise interleaving unit that performs the group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits; and a mapping unit that maps the LDPC code to any one of 16 signal points which are determined by a modulation method in a unit of 4 bits.
  • an (i+1)-th bit group from a head of the LDPC code is set as a bit group i and a sequence of bit groups 0 to 179 of the 64800-bit LDPC code is interleaved into a sequence of the following bit groups.
  • the LDPC code includes information bits and parity bits.
  • the parity check matrix includes an information matrix portion corresponding to the information bits and a parity matrix portion corresponding to the parity bits.
  • the information matrix portion is represented by a parity check matrix initial value table.
  • the parity check matrix initial value table indicates positions of elements “1” in the information matrix portion for every 360 columns and includes the following.
  • the transmitting device includes: the coding unit that performs LDPC coding on the basis of the parity check matrix of the LDPC code having a code length N of 64800 bits and a coding rater of 9/15; the group-wise interleaving unit that performs the group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits; and the mapping unit that maps the LDPC code to any one of 16 signal points which are determined by the modulation method in a unit of 4 bits.
  • the (i+1)-th bit group from the head of the LDPC code is set as the bit group i and a sequence of bit groups 0 to 179 of the 64800-bit LDPC code is interleaved into a sequence of the following bit groups.
  • the LDPC code includes the information bits and the parity bits.
  • the parity check matrix includes the information matrix portion corresponding to the information bits and the parity matrix portion corresponding to the parity bits.
  • the information matrix portion is represented by the parity check matrix initial value table.
  • the parity check matrix initial value table indicates positions of elements “1” in the information matrix portion for every 360 columns and includes the following. A sequence of the bit groups of the LDPC code, which has been subjected to the group-wise interleaving and is obtained from the data transmitted from the transmitting device, is returned to the original sequence.
  • a fifth data processing device/method according to the present technology includes: a coding unit/step that performs
  • LDPC coding on the basis of a parity check matrix of an LDPC code having a code length N of 64800 bits and a coding rate r of 9/15; a group-wise interleaving unit/step that performs group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits; and a mapping unit/step that maps the LDPC code to any one of 64 signal points which are determined by a modulation method in a unit of 6 bits.
  • an (i+1)-th bit group from a head of the LDPC code is set as a bit group i and a sequence of bit groups 0 to 179 of the 64800-bit LDPC code is interleaved into a sequence of the following bit groups.
  • the LDPC code includes information bits and parity bits.
  • the parity check matrix includes an information matrix portion corresponding to the information bits and a parity matrix portion corresponding to the parity bits.
  • the information matrix portion is represented by a parity check matrix initial value table.
  • the parity check matrix initial value table indicates positions of elements “1” in the information matrix portion for every 360 columns and includes the following.
  • the LDPC coding is performed on the basis of the parity check matrix of the LDPC code having a code length N of 64800 bits and a coding rate r of 9/15.
  • the group-wise interleaving which interleaves the LDPC code in a unit of a bit group of 360 bits is performed.
  • the LDPC code is mapped to any one of 64 signal points which are determined by the modulation method in a unit of 6 bits.
  • the (i+1)-th bit group from the head of the LDPC code is set as the bit group i and a sequence of bit groups 0 to 179 of the 64800-bit LDPC code is interleaved into a sequence of the following bit groups.

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  • Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Probability & Statistics with Applications (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Multimedia (AREA)
  • Computational Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Algebra (AREA)
  • Computing Systems (AREA)
  • Error Detection And Correction (AREA)
  • Detection And Prevention Of Errors In Transmission (AREA)
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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20180337693A1 (en) * 2014-03-19 2018-11-22 Saturn Licensing Llc Data processing device and data processing method
US10164661B2 (en) * 2014-03-05 2018-12-25 Saturn Licensing Llc Data processing device and data processing method
US10425112B2 (en) * 2014-02-19 2019-09-24 Saturn Licensing Llc Data processing device and data processing method using low density parity check encoding for decreasing signal-to-noise power ratio
US10938608B2 (en) * 2015-11-19 2021-03-02 Sony Corporation Apparatus and method
CN113708777A (zh) * 2020-05-20 2021-11-26 中国科学院上海高等研究院 基于ldpc码的编码方法、系统、介质及装置

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
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