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WO2008038985A1 - Appareil d'enregistrement d'informations optiques, leur procédé de codage, et procédé de reproduction d'informations optiques - Google Patents

Appareil d'enregistrement d'informations optiques, leur procédé de codage, et procédé de reproduction d'informations optiques Download PDF

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Publication number
WO2008038985A1
WO2008038985A1 PCT/KR2007/004686 KR2007004686W WO2008038985A1 WO 2008038985 A1 WO2008038985 A1 WO 2008038985A1 KR 2007004686 W KR2007004686 W KR 2007004686W WO 2008038985 A1 WO2008038985 A1 WO 2008038985A1
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WO
WIPO (PCT)
Prior art keywords
data
optical information
parity check
low
density parity
Prior art date
Application number
PCT/KR2007/004686
Other languages
English (en)
Inventor
Bi Woong Chung
Original Assignee
Daewoo Electronics Corporation
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Daewoo Electronics Corporation filed Critical Daewoo Electronics Corporation
Publication of WO2008038985A1 publication Critical patent/WO2008038985A1/fr

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Classifications

    • G—PHYSICS
    • G11—INFORMATION STORAGE
    • G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
    • G11B20/00—Signal processing not specific to the method of recording or reproducing; Circuits therefor
    • G11B20/10—Digital recording or reproducing
    • G—PHYSICS
    • G11—INFORMATION STORAGE
    • G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
    • G11B20/00—Signal processing not specific to the method of recording or reproducing; Circuits therefor
    • G11B20/10—Digital recording or reproducing
    • G11B20/18—Error detection or correction; Testing, e.g. of drop-outs
    • G11B20/1833—Error detection or correction; Testing, e.g. of drop-outs by adding special lists or symbols to the coded information
    • G—PHYSICS
    • G11—INFORMATION STORAGE
    • G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
    • G11B7/00—Recording or reproducing by optical means, e.g. recording using a thermal beam of optical radiation by modifying optical properties or the physical structure, reproducing using an optical beam at lower power by sensing optical properties; Record carriers therefor
    • G11B7/004—Recording, reproducing or erasing methods; Read, write or erase circuits therefor
    • G11B7/0065—Recording, reproducing or erasing by using optical interference patterns, e.g. holograms
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M7/00—Conversion of a code where information is represented by a given sequence or number of digits to a code where the same, similar or subset of information is represented by a different sequence or number of digits
    • H03M7/30—Compression; Expansion; Suppression of unnecessary data, e.g. redundancy reduction
    • G—PHYSICS
    • G11—INFORMATION STORAGE
    • G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
    • G11B20/00—Signal processing not specific to the method of recording or reproducing; Circuits therefor
    • G11B20/10—Digital recording or reproducing
    • G11B20/18—Error detection or correction; Testing, e.g. of drop-outs
    • G11B20/1833—Error detection or correction; Testing, e.g. of drop-outs by adding special lists or symbols to the coded information
    • G11B2020/185—Error detection or correction; Testing, e.g. of drop-outs by adding special lists or symbols to the coded information using an low density parity check [LDPC] code

Definitions

  • the present invention relates to optical information recording apparatus and method, a data encoding method, and an optical information reproducing method, and more particularly, to optical information recording apparatus and method, a data encoding method, and an optical information reproducing method, which use a hologram.
  • a holographic optical information processing apparatus is a page-oriented memory and uses an input and output method of a parallel signal processing type. Accordingly, the holographic optical information processing apparatus can process data faster than a CD (Compact Disk) or a DVD (Digital Versatile Disk) that records and reproduces data in the unit of bit.
  • CD Compact Disk
  • DVD Digital Versatile Disk
  • the holographic optical information processing apparatus performs a recording operation by projecting an information beam including image information of recording data and a reference beam to an optical information recording medium so as to overlap with each other.
  • the holographic optical information processing apparatus reproduces the original data by projecting the reference beam to the optical information recording medium, detecting a reproduced beam, which is diffracted and reproduced from the recording medium, by the use of a light-receiving array element such as a CMOS (Complementary Metal-Oxide Semiconductor) or a CCD (Charge Coupled Device), and performing a signal processing operation and a decoding process on the reproduced beam.
  • CMOS Complementary Metal-Oxide Semiconductor
  • CCD Charge Coupled Device
  • a detected data page may have errors at the time of detecting an image of a data page.
  • pixels of the data page hereinafter, referred to as 'data pixels'
  • pixels of the light-receiving array element hereinafter, referred to as 'detection pixels'
  • BER bit error rate
  • ECC error correction code
  • ECC low-density parity check
  • the LDPC code is a linear block code in which most elements of a parity check matrix are "0".
  • a parity check code has a block which contains information symbols and parity check symbols which are a modulo sum of specific information symbols to constitute a codeword.
  • the relations between the parity check symbols and the information symbols can be represented by a parity check matrix "H".
  • the parity check matrix "H” can be represented by a set of linear homogeneous equations. That is, the LDPC code is a kind of parity check code and has a parity check matrix "H" of which most elements are "0" and the other elements are a small number of weights which are randomly distributed.
  • a process of encoding the LDPC code with the parity check matrix "H” is as follows.
  • the matrix is called an irregular LDPC code.
  • the irregular LDPC code has better error correction ability, but it is harder to embody the irregular LDPC code by hardware.
  • the sum-product algorithm of the methods of decoding the LDPC code performs a soft decision iterative decoding process using probability values.
  • a decoding operation is repeatedly performed in which massages of probability are transmitted between nodes in the codeword graph so as to converge to the code word satisfying the maximum likelihood.
  • LLR log- likelihood ratio
  • the LLR algorithm is described in brief as follows.
  • the initial LLR of a LDPC decoder is obtained from the data pixel by calculating the probability when the data pixel is "0" and the probability when the data pixel is " 1".
  • the obtained LLR is used as information for calculating the probability of pixel by partially inserting a specific mark disposed between the data pixels into the data image.
  • the LDPC code can be decoded by accurate likelihood information on the data pixels in a specific block, but cannot be decoded by inaccurate likelihood information on the data pixel exceeding the error correction ability.
  • the invention provides a data encoding method of encoding data in an error correction manner by the use of a low-density parity check code, optical information recording apparatus and method is used for the data encoding method, and an optical information reproducing method of reproducing data from a hologram recorded in a recording medium.
  • the method of decoding a low density check code and the optical information processing apparatus according to the invention have such an effect that when recording optical information by the use of the LDPC, it is possible to improve acquisition efficiency and accuracy of likelihood information of the LDPC by converting the data into double-sized data and then mapping the double-sized data to pixels.
  • FIG. 1 is a block diagram illustrating an optical information processing apparatus according to an embodiment of the invention.
  • FIG. 2 is a diagram schematically illustrating a 2:4 conversion in the optical information processing apparatus according to the embodiment of the invention.
  • FIGs. 3 to 5 are exemplary diagrams illustrating pixels corresponding to input bits in the 2:4 conversion according to the embodiment of the invention.
  • FIG. 6 is a block diagram illustrating a process of encoding optical information in the optical information processing apparatus according to the embodiment of the invention.
  • FIG. 7 is a block diagram illustrating a process of decoding optical information in the optical information processing apparatus according to the embodiment of the invention.
  • Fig. 8 is a graph illustrating a bit error rate due to the 2:4 conversion according to the embodiment of the invention. Best Mode for Carrying Out the Invention
  • a holographic optical information recording apparatus includes: an encoding unit that encodes data in an error correcting manner by the use of a low-density parity check code and that converts the data, which has been encoded in the error correcting manner by the use of the low-density parity check code, into double-sized data; and a spatial light modulator that modulates a first beam emitted from a light source by representing the data, which has been encoded by the use of the low-density parity check code and converted into double-sized data, into a pixel array so as to record a hologram on a recording medium by allowing the first beam to overlap with a second beam emitted from the light source.
  • the encoding unit may include a low-density parity check encoder that encodes the original data in the error correcting manner by the use of the low-density parity check code and a converter for converting the low-density parity check code, which has been generated by the low-density parity check encoder, into double-sized code.
  • the spatial light modulator may represent the low-density parity check code into a two-dimensional data page form.
  • the size may be the number of bits.
  • a holographic optical information recording method includes: encoding data in an error correcting manner by the use of a low-density parity check code and converting the data, which has been encoded in the error correcting manner by the use of the low- density parity check code, into double-sized data; modulating a first beam emitted from a light source by representing the data, which has been encoded by the use of the low-density parity check code and converted into the double-sized data, into a pixel array; and recording a hologram on a recording medium by allowing the first beam to overlap with a second beam emitted from the light source on the recording medium.
  • the converted data represented in a pixel array form may have a two dimensional data page form.
  • the size may be the number of bits.
  • a data encoding method of a holographic recording apparatus includes: encoding original data in the error correcting manner by the use of a low-density parity check code; and converting the low-density parity check code into double-sized data.
  • the size may be the number of bits.
  • the converted data may be represented in a two- dimensional data page form by a spatial light modulator.
  • a holographic optical information reproducing method includes: applying a beam to a recording medium having a recorded hologram formed by encoding data in an error correcting manner by the use of a low-density parity check code, converting the encoded data into double-sized data, and recording the converted data; and detecting a reproduced beam, which is reproduced from the hologram, in a two-dimensional data page form by the use of an optical information detector.
  • pixels of the data page detected by the optical information detector may be deconverted into two times data and then an error detection is performed on the de- converted data.
  • the likelihood information may be calculated from the data page and is then decoded by the use of the low-density parity check code.
  • the likelihood in- formation may be calculated by the use of information on the brightest pixel and the third brightest pixel in a four-pixel array unit of the data page.
  • the likelihood information may satisfy the following Math Figure 1 :
  • F denotes likelihood information of a pixel
  • ml denotes intensity of the brightest pixel
  • m3 denotes intensity of the third brightest pixel
  • ⁇ denotes an intensity variation of a pixel
  • FIG. 1 is a block diagram illustrating an optical information processing apparatus according to an embodiment of the invention.
  • an optical information processing apparatus 100 includes a light source 110, a beam splitter 120, a multiplexer 130, a spatial light modulator 140, an optical information detector 150, an equalizer 160, an encoding unit 170, and a decoding unit 180.
  • the first beam S goes through a first shutter 190a, is changed in optical path by a reflecting mirror, and is then incident on the spatial light modulator 140.
  • the first beam S will be called a signal beam hereinafter.
  • the second beam R goes through a second shutter 190b, is reflected by the multiplexer 130, and is incident on an optical information recording medium 200 at a determined angle.
  • the second beam R will be called a reference beam hereinafter.
  • the spatial light modulator 140 represents the encoded binary data sent from the data encoding unit 170 into data page in the unit of a twodimensional page.
  • the data encoding unit 170 encodes original data (source data, user data, or input data) by the use of the lowdensity parity check (LDPC) code and provides the encoded data to the spatial light modulator 140 in the unit of a page.
  • LDPC lowdensity parity check
  • the spatial light modulator 140 optically modulates data page information sent from the data encoding unit 170 to represent twodimensional data pages and projects the data page to the signal beam S traveling to the optical information recording medium 200.
  • a hologram is generated in the optical in- formation recording medium 200 by means of interference of the reference beam R and the information beam S with each other.
  • the multiplexer 130 controls the angle of the reference beam R incident on the optical information recording medium 200. That is, the multiplexer performs an angle multiplexing operation.
  • the multiplexer 130 can be embodied by a rotating mirror like a galvanic mirror.
  • the second shutter 190b allows the reference beam R split by the beam splitter 120 to travel to the recording medium.
  • the first shutter 190a blocks the traveling of the signal beam S to the recording medium.
  • the optical information detector 150 can be embodied by a lightreceiving array element such as a CMOS (Complementary Metal Oxide Semiconductor) or a CCD (Charge Coupled Device).
  • CMOS Complementary Metal Oxide Semiconductor
  • CCD Charge Coupled Device
  • An MMSE (Minimum Mean Square Error) equalizer or the like can be used as the equalizer 160.
  • the data decoding unit 180 is a device for decoding the LDPC code.
  • the data decoding unit 180 decodes the LDPC code output from the equalizer 160 to finally output the original data.
  • Fig. 2 is a diagram schematically illustrating the 2:4 conversion in the optical information processing apparatus according to the embodiment of the invention.
  • the 2:4 conversion serves to convert input 2bit data into doublesized pixels, that is, 4 pixels.
  • 2 bits are converted into 4 bits, which are mapped to an array of 4 pixels.
  • the 4pixel array is represented by one ON pixel and three OFF pixels (see Fig. 2).
  • the 2:4 conversion can be used to acquire likelihood information of the LDPC code at the time of reproducing optical information by comparing intensity values of 4 pixels with each other.
  • the likelihood information can be obtained from Math Figure 2.
  • F denotes the likelihood information of a pixel
  • y denotes a signal level of the
  • AWGN Additional White Gaussian Noise
  • the likelihood information can be obtained using Math Figure 2 and the intensity difference between pixels. That is, the likelihood information can be calculated using the intensity difference between pixels instead of y as a signal level of the AWGN channel, which can be expressed by Math Figure 3. [52] Math Figure 3
  • F denotes the likelihood information of a pixel
  • ml denotes the intensity of the brightest pixel among 4 pixels
  • m2 denotes the intensity of the second brightest pixel among 4 pixels
  • ⁇ denotes the intensity variation of a pixel
  • the likelihood information of the input 2-bit data can be always calculated constant, since the calculated likelihood information varies depending on the intensity ml of the brightest pixel among 4 pixels and the intensity m2 of the second brightest pixel among 4 pixels.
  • FIGs. 3 to 5 are exemplary diagrams showing the pixels for the 2:4 conversion according to this embodiment of the invention.
  • the numerals assigned to the pixels indicate the order of brightness of the pixels.
  • Fig. 3 shows a case where the first bit of the 2-bit data to be subjected to the 2:4 conversion is "0”
  • Fig.4 shows a case where the other bit of the 2-bit data to be subjected to the 2:4 conversion is "0”
  • Fig. 5 shows a case where the bits of the 2-bit data to be subjected to the 2:4 conversion are always different from each other.
  • the second bit of the 2-bit data when the second bit of the 2-bit data is 0, the first pixel has the brightest intensity and the third pixel has the second brightest intensity in the 2:4 conversion.
  • the second-bit data of the 2-bit data to be subjected to the 2:4 conversion has the same value at positions corresponding to the intensity of the second pixel and the fourth pixel. That is, the second-bit data of the 2-bit data is not affected by the second and fourth pixels.
  • F denotes the likelihood information of a pixel
  • ml denotes the intensity of the brightest pixel
  • m3 denotes the intensity of the third brightest pixel
  • ⁇ denotes the intensity variation of a pixel
  • FIG. 6 is a block diagram illustrating an optical information encoding process of the optical information processing apparatus according to this embodiment
  • Fig. 7 is a block diagram illustrating an optical information decoding process of the optical information processing apparatus according to this embodiment
  • Fig. 8 is a graph illustrating a bit error rate of the 2:4 modulation code encoding process according to this embodiment.
  • the optical information encoding process in the optical information processing process according to this embodiment can be performed by the data encoding unit 170 to record the optical information.
  • the data encoding unit 170 includes an LDPC encoder 172 for encoding the input data in the error correction manner by the use of the LDPC code and a converter for converting the LDPC code generated by the LDPC encoder 172 into double-sized data.
  • the converter serves to convert the 2-bit data into the 4-bit data in this embodiment.
  • LDPC code corresponding to data is generated from the LDPC encoder 172 and the generated LDPC code is converted by the 2:4 converter 174. At this time, the LDPC code which is converted by the 2:4 converter 174 is as described above.
  • the data page having been subjected to the 2:4 conversion is projected to the signal beam S by the spatial light modulator 140.
  • the signal beam S to which the data page has been projected is incident on the recording medium 200 to generate a hologram on the recording medium by means of interference with the reference beam R.
  • the decoding process for reproducing the optical information in the optical information processing apparatus is performed by the data decoding unit 180 of the optical information processing apparatus.
  • the data decoding unit 180 will be described in brief now.
  • the 180 includes a 2:4 deconverter 184 for acquiring the likelihood information for decoding from the data page detected by the optical information detector 150 and de- converting the data in the 2:4 manner and an LDPC decoder 182 for performing an LDPC decoding process using the likelihood information and the data acquired by the deconverter 184.
  • the 2:4 decon version indicates that two data as the original data are obtained from the four pixels.
  • the likelihood information for decoding the LDPC code by means of the 2:4 deconversion and the optical information stored in the recording medium 200 can be reproduced as the original data.
  • FIG. 8 shows a simulation result of the likelihood information resulting from the 2:4 conversion of the LDPC code in the optical information processing apparatus according to this embodiment, where a pixel spreading quantity of 1.4 Nyquist size and a BER (bit error rate) for decoding data by the use of the likelihood information obtained from the 2:4 deconversion using the LDPC code, which has a length of 1800 and a code encoding rate of 0.9, in the channel to which the AWGN(Additive White Gaussian Noise) is added.
  • the 2:4 conversion and the LDPC code are used, the capability is enhanced by 0.25 dB in comparison with the case where only the LDPC is used.

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  • Engineering & Computer Science (AREA)
  • Signal Processing (AREA)
  • Theoretical Computer Science (AREA)
  • Error Detection And Correction (AREA)
  • Holo Graphy (AREA)
  • Optical Recording Or Reproduction (AREA)
  • Signal Processing For Digital Recording And Reproducing (AREA)

Abstract

L'invention porte sur un appareil d'enregistrement d'informations holographiques optiques comprenant: un codeur qui code des données originales en corrigeant les erreurs en utilisant un code de contrôle de parité à basse densité, et qui convertit des données, codées avec la correction d'erreurs, en utilisant le code de contrôle de parité à basse densité, en données doubles-taille; et un modulateur spécial de lumière qui module un premier rayon émis d'une source de lumière en représentant les données codées en utilisant le code de contrôle de parité à basse densité et converties en données double taille, dans un réseau de pixel afin d'enregistrer un hologramme sur un support d'enregistrement en permettant au premier rayon de chevaucher un deuxième rayon émis de la source de lumière. Lors de l'enregistrement des informations optiques avec le LDPC, il est possible d'améliorer l'efficacité d'acquisition et l'exactitude des informations de probabilité du LDPC en convertissant les données en données de double-taille, puis en mappant les données double taille en pixels.
PCT/KR2007/004686 2006-09-25 2007-09-21 Appareil d'enregistrement d'informations optiques, leur procédé de codage, et procédé de reproduction d'informations optiques WO2008038985A1 (fr)

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KR1020060092889A KR20080027990A (ko) 2006-09-25 2006-09-25 홀로그래픽 광정보 기록장치와 기록방법
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2018041525A (ja) * 2016-09-08 2018-03-15 日本放送協会 復号装置、ホログラム再生装置、及び復号方法

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Publication number Priority date Publication date Assignee Title
JP2001075463A (ja) * 1999-09-01 2001-03-23 Nippon Telegr & Teleph Corp <Ntt> ２次元符号化方法
KR20030078089A (ko) * 2002-03-28 2003-10-08 주식회사 대우일렉트로닉스 홀로그래픽 디지털 저장 및 재생 시스템과 데이터코딩/디코딩 방법
KR20040009805A (ko) * 2002-07-25 2004-01-31 주식회사 대우일렉트로닉스 홀로그래픽 디지털 데이타 저장 시스템의 코딩 및 디코딩장치와 이에 관련된 코딩 및 디코딩 방법
US20050240856A1 (en) * 2004-04-06 2005-10-27 Samsung Electronics Co., Ltd. Hologram recording and reproducing apparatus and hologram reproducing apparatus

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2001075463A (ja) * 1999-09-01 2001-03-23 Nippon Telegr & Teleph Corp <Ntt> ２次元符号化方法
KR20030078089A (ko) * 2002-03-28 2003-10-08 주식회사 대우일렉트로닉스 홀로그래픽 디지털 저장 및 재생 시스템과 데이터코딩/디코딩 방법
KR20040009805A (ko) * 2002-07-25 2004-01-31 주식회사 대우일렉트로닉스 홀로그래픽 디지털 데이타 저장 시스템의 코딩 및 디코딩장치와 이에 관련된 코딩 및 디코딩 방법
US20050240856A1 (en) * 2004-04-06 2005-10-27 Samsung Electronics Co., Ltd. Hologram recording and reproducing apparatus and hologram reproducing apparatus

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2018041525A (ja) * 2016-09-08 2018-03-15 日本放送協会 復号装置、ホログラム再生装置、及び復号方法

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