TWI301615B - Hologram recording and reproducing apparatus and hologram reproducing apparatus - Google Patents
Hologram recording and reproducing apparatus and hologram reproducing apparatus Download PDFInfo
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- 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
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- G—PHYSICS
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- 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
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- G—PHYSICS
- G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
- G03H—HOLOGRAPHIC PROCESSES OR APPARATUS
- G03H2240/00—Hologram nature or properties
- G03H2240/20—Details of physical variations exhibited in the hologram
- G03H2240/21—Optical density variations
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- 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
- G11B2020/1836—Error detection or correction; Testing, e.g. of drop-outs by adding special lists or symbols to the coded information using a Reed Solomon [RS] code
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- 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
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Description
.I3〇i^4fd〇c 九、發明說明: 【發明所屬之技術領域】 入,發明是有關於—種全像記錄與再生裝置,以及—種 二斗生|置,用來將㈣記錄在全像舰,献全像媒 2 生貨料。且較特別的是,有關於即使當因干擾造成所 戒就的訊號雜訊比惡化時,亦可降低解碼錯誤的—種 王像記錄與再生裝置’以及-種全像再生裝置。 【先前技術】 _ 近年來’如相位變動光碟(phase_change 〇ptical出咖) 與磁電光碟(magnet〇_optical disks)的可重覆寫入光碟 (rewritable optical disks)已廣泛地被應用。為增加這種光碟 的記錄密度,必須使用一種可降低光束光點直徑的技術。 這種技術可降低相鄰磁執之間,或相鄰位元之間的距離, 以藉此提升記錄密度。 這種光碟的密度目前係年復一年持續增加。然而,在 此光碟平面中的資料記錄密度卻受限於光線的繞射界限 _ (diffractive limit)。因此,需要使用一種利用光碟深度(depth) 的三維多重記錄技術(three-dimensional multiple recording),以增加其記錄容量。 因全像記憶體(hologram memory)具有三維記錄區 (three-dimensional recording area),以提供較大容量,且因 其使用目前正在發展的二維批次記錄及再生方法,以提供 較高存取速度。因此,可將全像記憶體做為下一世代電腦 記憶體使用。在全像記憶體中,目標光束(object beam)與 I301^4fd〇c 對應於記錄資料的參考光束(reference beam),會入射 (incident)到記錄媒體上,且在該記錄媒體的兩個玻璃板 (glass plates)之間,會插入由如光聚合物(ph〇t〇p〇ly_)的 材料所製成的一個記錄層(rec〇rding layer)。接下來,再經 由光束造成δ己錄材料折射率(refractiveincJex)變化,產生一 干擾圖案(interference pattern)來記錄資料。此外,經由在 資料再生動作期間,只將參考光束照射在記錄材料上,可 藉由再生干擾圖案,而擷取對應於記錄資料的光學資料。 圖1係繪示一種習知的全像記錄與再生裝置的訊號處 理器。請參考圖1所示,圖中的里德所羅門編碼器 (Reed-Solomon enc〇der)l,係用一種里德所羅門碼 (Reed_Sol〇m〇n c〇de)對記錄資料做編碼,並且產生一個記 錄里德所羅門碼(recording Reed_Solomon code)b。區塊編碼 器(block encoder)2係用一種區塊碼(block code),對記錄里 德所羅門碼b做編碼,並且產生一個記錄區塊碼(rec〇rding bl〇CkC〇de)d。舉例而言,請參考圖2所示,如果b=〇,則 可由下列公式1得到d。反之,如果b=l,則可執行用由 下列公式2所彳于的d的一個差動碼(differential code)的編碼 處理。 ⑴ 7 0 1301 ⑽ pif.doc d = . (2) 請參考圖1所示,經由傳送在記錄區塊碼d中,對應 於”1”的像素(pixels)的目標光束,以及攔截對應於,,〇,,的像 素的目標光束’空間調整器(space modulator)3會產生記錄 頁資料(recording-page data),以標示對應於記錄區塊碼d 的一個棋盤圖案(checkered pattern)。舉例而言,當由下列 公式3得到d時,即會產生如圖3所示的記錄頁資料。在 另一方法中,係使用四像素中有一像素為,,1,,,且其他三像 素為的一種特殊碼,且在下文中將此碼稱為2 : 4碼(請 參照曰本專利早期公開案第H9-197947號)。 d 0 0 (3) 圖/鱗頁資料的第—列像素的亮度位準㈣伽㈣ 係如圖4所示。記錄頁資料的每一像素 愛 亦即每-對應像素都代表—個別的二位元位 基底^^相1所示,全像記錄媒體4是藉由在碟片 material)所 ^ ^ 上,沉積一種光敏材料(Photosensitive 束的干擾且記錄料是在當參考光束與目標光 由將參料折射率改變時記錄在其上。藉 記錄頁資偏^ 錄制4上,可得具有對應於 I30l^i4.fd〇c data)。圖5係繪示經由將 全傻料❹“將圖所不的記錄頁資料,記錄在 二像5己錄媒體4上所得的再生頁資料,以及從全像記= ’再生再生頁資料的處理。由圖5所示 資料、 的弟一列所代表的像素的亮度位準,係如圖6所示頁貝枓 介於料::”像_ 具有連續的多數值位準素 =:的互相干擾、串音一W象 等的各種干擾所造成的再生訊號位準改變所造成。 mrvt身具有一個CM〇S影像感測器(image se職)或一 個f CD影像感測器的光接收器(_⑽㈣$,會將再生 頁貝?做光電轉換’以產生一個再生訊號(―邱 S=1)P。再生訊號具有與圖6所示的亮度位準相似的一個 連續的多數值位準。區塊解碼器(bl〇ckdec〇to)6會 生訊號P的位準’對區塊碼解碼,並且產生一個再生里德 所羅門碼r。 ^ 換言之,假設從在光接收器5的上及下像素(up and own pixels)再生的再生訊號的數值係為pi及p2,如果pi < P2則區塊解碼為6會決定記錄區塊碼d的估計值係由公 式4所得,並且產生一個r;=〇的再生里德所羅門碼。另一 方面,如果Ρι > Μ,則區塊解碼器6會決定記錄區塊碼d 的估计值係由公式5所得,並且產生一個r=1的再生里德 所羅門碼。里德所羅門解碼器7會使用里德所羅門碼,解 Ι3〇16^〇〇 並且產生再生資料(reproducing 碼再生里德所羅門碼r data)s 〇 (4).I3〇i^4fd〇c IX. Description of the invention: [Technical field to which the invention pertains] Invented, the invention relates to a holographic recording and reproducing apparatus, and a type of two-person production, which is used to record (4) The full-image ship offers all the materials and raw materials. More specifically, there is a type of image recording and reproducing apparatus and a holographic apparatus which can reduce decoding errors even when the signal noise ratio due to interference is deteriorated. [Prior Art] _ In recent years, rewritable optical disks such as phase change optical discs and magnet 〇 optical discs have been widely used. In order to increase the recording density of such a disc, a technique for reducing the spot diameter of the beam must be used. This technique can reduce the distance between adjacent magnets, or between adjacent bits, thereby increasing the recording density. The density of such discs is currently increasing year after year. However, the data recording density in this disc plane is limited by the diffraction limit _ (diffractive limit) of the light. Therefore, it is necessary to use a three-dimensional multiple recording method using a disc depth to increase its recording capacity. Since the hologram memory has a three-dimensional recording area to provide a large capacity, and because it uses the currently developing two-dimensional batch recording and reproducing method to provide higher access. speed. Therefore, holographic memory can be used as the next generation of computer memory. In the holographic memory, the object beam and I301^4fd〇c correspond to a reference beam of the recorded material, incident on the recording medium, and two glasses on the recording medium Between the glass plates, a recording layer made of a material such as a photopolymer (ph〇t〇p〇ly_) is inserted. Next, the refractive index (refractiveincJex) of the δ-recorded material is changed by the light beam, and an interference pattern is generated to record the data. Further, by irradiating only the reference beam onto the recording material during the data reproducing operation, the optical material corresponding to the recorded material can be extracted by reproducing the interference pattern. Fig. 1 is a diagram showing a signal processor of a conventional hologram recording and reproducing apparatus. Please refer to Figure 1. The Reed-Solomon enc〇der in the figure encodes the recorded data with a Reed_Sol〇m〇nc〇de and produces a Record Reed_Solomon code b. The block encoder 2 encodes the recorded Reese Solomon code b with a block code and generates a recording block code (rec〇rding bl〇CkC〇de)d. For example, referring to FIG. 2, if b=〇, d can be obtained by the following formula 1. On the other hand, if b = 1, an encoding process using a differential code of d which is entangled by the following formula 2 can be performed. (1) 7 0 1301 (10) pif.doc d = . (2) Referring to FIG. 1, by transmitting in the recording block code d, the target beam corresponding to the pixels of "1", and the intercept corresponding to, The target beam 'space modulator 3' of the pixel of 〇, 会, will generate recording-page data to indicate a checkered pattern corresponding to the recorded block code d. For example, when d is obtained by the following formula 3, the recorded page data as shown in Fig. 3 is generated. In another method, one of the four pixels is a special code of 1, 1, and the other three pixels, and the code is hereinafter referred to as a 2:4 code (refer to the early disclosure of the patent) Case No. H9-197947). d 0 0 (3) The brightness level of the first column of the graph/scale data (four) gamma (four) is as shown in Fig. 4. Each pixel of the recorded page data is represented by each-corresponding pixel--the individual two-bit substrate is shown as the phase 1, and the holographic recording medium 4 is deposited on the disc material. A photosensitive material (the interference of the Photosensitive beam and the recording material is recorded on the reference beam and the target light when the refractive index of the reference material is changed. By recording the page offset ^ recording 4, it has to correspond to I30l^i4 .fd〇c data). FIG. 5 is a diagram showing the processing of reproducing the page data by recording the recorded page data of the map on the second image 5 recorded medium 4, and reproducing the reproduced page data from the whole image. The brightness level of the pixel represented by the column of the data shown in Fig. 5 is as shown in Fig. 6. The image is: "image_" has continuous multi-valued level =: mutual interference The change in the level of the reproduced signal caused by various interferences such as crosstalk and W image. The mrvt has a CM〇S image sensor (image se) or an optical receiver of the f-CD image sensor (_(10)(4)$, which will convert the reproduction page to photoelectric conversion' to generate a regenerative signal (“Qiu” S = 1) P. The reproduced signal has a continuous multi-value level similar to the luminance level shown in Fig. 6. The block decoder (bl〇ckdec〇to) 6 generates the level P of the signal P. The block code is decoded and a reproduced Reed Solomon code r is generated. ^ In other words, it is assumed that the values of the reproduced signals reproduced from the upper and lower pixels of the optical receiver 5 are pi and p2, if pi < P2, if the block is decoded to 6, it will determine that the estimated value of the recorded block code d is obtained by Equation 4, and a regenerative Reed Solomon code of r;=〇 is generated. On the other hand, if Ρι > Μ, then the area The block decoder 6 determines that the estimated value of the recorded block code d is obtained by Equation 5, and produces a reproduced Reed Solomon code of r = 1. The Reed Solomon decoder 7 uses the Reed Solomon code to solve 3 〇 16 ^〇〇 and generate regenerative data (reproducing code regeneration Reed Solomon code r data) s 〇 (4)
cU (5) 知的全像記錄與再生裝置中,在以里德所羅 二仃解碼程序之前,再生資料^必須等於具有相當高 二ί又的6己錄貢料&,而且再生里德所羅門碼r的位元錯 决:伽error rate)必須降低到小於例如大約1χ1〇_4。然而, 1x10 在實際的全像記錄與再生裝置巾,再生訊躺訊號雜訊比 ㈣nal*nGise,S/N) #常容易受到如媒體雜訊、系_ A、各碼之間的互相干擾、串音、像素位置偏差等等的各 種干擾的影響m。因此,常會有再生里德所羅門碼r 的解碼錯誤發^,❿錄元錯料㈣會惡減例如大約 如上所述,再生頁資料中的每一像素的個別位準係介 於黑與白之間的灰色地帶,而且個別像素的亮度位準與再 生=號的位準會具有連續的多數值位準。因為區塊碼係僅 依照具有多數值位準的再生訊號的相對位準而解碼,所以 當再生訊號P的位準干擾造成再生訊號p的較大變動時, 常會有解碼錯誤發生。 1301615 16569pif.doc 【發明内容】 本發明提供-種全像記錄與再生裝置,以及一種全像 生裝置其可在用低讼度奇偶校驗(1〇^d⑽办㈣办 c eck code,LDPC)碼,執行高性能解碼程序中,再生訊號 =號雜誠因各種谓㈣糾,提餘 ^ 率及較高的可靠度。 s % 根據本發明-觀點,本發明提供的全像記錄與再生裝 置係包括:-個低密度奇偶校驗編碼器⑼⑽⑽办p刪 check encoding unit),其係用一種低密度奇偶校驗碼編石馬一 5己錄f料,並且產生—記錄低密度奇偶校驗碼,·-個區塊 、、扁碼為’使用-區塊碼,編碼記錄低密度奇偶校驗碼,並 且產生-記縣塊碼;—個全像記錄器、(hQl嗯⑽f⑽池哗 U=lt) ’經由將—目標光束照射在全像記錄賴上,而記錄 育料,且該目標光束的亮度係經過空間調整器根據記錄區 塊碼調節過;一個全像再生器(hologram reproducing unit), 其係包括一個光接收器,藉由將一參考光束照射到全像記 錄媒體讀制-再生光束,闕光電職成—再生訊號 而再生資料,一個區塊解碼器,根據再生訊號的位準,解 碼對應於記錄區塊碼的再生區塊碼,根據再生區塊碼,解 碼對應於記錄低密度奇偶校驗碼的再生低密度奇偶校驗 馬,並且计异根據再生訊號的位準估計再生低密度奇偶校 驗碼個別位元數值的估計資料(estimation data);以及一個 低岔度奇偶校驗解碼器,根據估計資料,解碼低密度奇偶 校驗碼,以解碼記錄資料。 I30^l4ifd〇c 校驗:據ΐί二ΐ奇:度奇偶 =二偶記錄二=== 資料,盆束照射在全像記錄媒體上,而記錄 射创= 方面’關於光接收器將由參考光束照 生訊得的再生光束,經過光電轉換成再 準,解碼^1 塊解碼器會根據再生訊號的位 碼,解碼對i於ΐϊ區塊碼的再生區塊碼’根據再生區塊 校驗碼,並度奇偶校驗碼的再生低密度奇偶 偶校驗碼個別位位::計=密度奇 碼=ΐ密度奇偶校驗解碼器,依照估計資料而解 碼以解碼記錄資料。 置,Siir明另—觀點,本發明提供—種全像再生裝 料。盆^全像記錄器記錄在全像記錄媒體中的資 碼哭’,、全像記錄料、包括 > 個低密度奇偶校驗編 0^、用種低密度奇偶校驗碼編碼一記錄資料,並 =-記錄低密度奇偶校驗碼;一個區塊編碼器,使用 ^碼碼、’編碼記錄低密度奇偶校驗碼,並且產生一記錄 ^錄拔二及一個全像記錄器,經由將目標光束照射在全 ’而記錄資料,且該目標光束的繼 勺Γ為根據記錄區塊碼調節過。此外,該全像再生裝 ’、匕舌·-個全像再生H,其係包括—個光接收器,藉 12cU (5) Knowing the holographic recording and reproducing device, before the Reed Solo II decoding program, the regenerated data ^ must be equal to the 6-recorded tribute & which is quite high, and the Reed Solomon The bit error of the code r must be reduced to less than, for example, about 1χ1〇_4. However, 1x10 in the actual holographic recording and reproduction device towel, regenerative video signal noise ratio (four) nal*nGise, S / N) # often susceptible to such as media noise, _ A, mutual interference between the codes, The influence of various disturbances such as crosstalk, pixel position deviation, and the like. Therefore, there is often a decoding error of the reproduced Reed Solomon code r, and the erroneous material (4) will be reduced. For example, as described above, the individual level of each pixel in the reproduced page data is between black and white. The gray area between the two, and the brightness level of the individual pixels and the level of the reproduction = number will have a continuous multi-value level. Since the block code is decoded only according to the relative level of the reproduced signal having multiple numerical levels, when the level interference of the reproduced signal P causes a large change of the reproduced signal p, a decoding error often occurs. 1301615 16569pif.doc SUMMARY OF THE INVENTION The present invention provides a holographic recording and reproducing apparatus, and a holographic generating apparatus which can use a low-cost parity check (1 〇 ^ d (10) (4) c eck code, LDPC) Code, in the implementation of high-performance decoding procedures, the regenerative signal = number of miscellaneous due to various means (four) correction, improve the rate and higher reliability. s % According to the present invention - the omni-directional recording and reproducing apparatus provided by the present invention comprises: - a low density parity check encoder (9) (10) (10), which is encoded by a low density parity check code. Shima 1 has recorded the material, and produces - record low-density parity check code, ·-block, flat code is 'use-block code, encode low-density parity check code, and generate-record County block code; - a hologram recorder, (hQl hm (10) f (10) pool 哗 U = lt) 'by illuminating the hologram on the target beam, and recording the brood, and the brightness of the target beam is spatially adjusted The device is adjusted according to the recording block code; a hologram reproducing unit, which includes a light receiver, by irradiating a reference beam to the holographic recording medium to read-reproduce the light beam, - reproducing the data and reproducing the data, a block decoder, decoding the reproduced block code corresponding to the recorded block code according to the level of the reproduced signal, and decoding the corresponding low density parity check code according to the reproduced block code regeneration Density parity check horse, and differentiating the estimation data of the individual bit values of the reproduced low density parity check code according to the level of the reproduced signal; and a low-latitude parity check decoder, according to the estimated data, The low density parity check code is decoded to decode the recorded data. I30^l4ifd〇c Verification: According to ΐί 二ΐ奇: degree parity = two even records two === data, the basin beam is illuminated on the holographic recording medium, and the recording shot is = aspect 'About the light receiver will be reference beam The reproduced beam obtained by the photo-ray is converted into a re-alignment by photoelectric conversion, and the decoded decoder will decode the reproduced block code of the i-block code according to the bit code of the reproduced signal' according to the reproduced block check code. Reproduced low-density parity-matched code individual bits of the parity check code:: = density odd code = ΐ density parity check decoder, decoded according to the estimated data to decode the recorded data. In addition, the present invention provides a holographic regenerative charge. The holographic image recorder records the code code crying in the hologram recording medium, the hologram recording material, including the low density parity check code, and encodes a record data with the low density parity check code. And =-record low-density parity check code; a block encoder, using ^ code, 'encoding record low-density parity check code, and generating a record ^ record two and a hologram recorder, via The target beam is illuminated at all times and the data is recorded, and the subsequent beam of the target beam is adjusted according to the recorded block code. In addition, the holographic regenerative device, the tongue-and-full image reproduction H, includes a light receiver, by 12
I3〇16H 光雷束如射到全像記錄媒體上所得的再生光束,經 再生訊號的; 一個區塊解碼器’ _ 根攄Μ Γ^ΐ 應於記錄區塊碼的再生區塊碼, 生低密“二碼ί應Γί錄低密度奇偶校驗碼的再 再生低密度奇偶校驗^叶异根據再生訊號的位準估計 個低密度奇?元數值的估計資料;以及-偶校驗碼,以解碼記^料根據估計資料’解碼低密度奇 •將夫ii康ί述實施例,資料再生的動作,係經由光接收哭 電,生訊號的方式所執行。另一方=所= 的貝料塊解碼器會根據再生訊 罐塊碼的再生區塊碼,根據再生區塊:,=: ==奇偶校驗碼的再生低密度奇偶校驗碼:並二; 异==訊號的位準估計再生低密度奇偶校驗碼個別位 ί产奇二中’再生低密度奇偶校驗碼係由低 jy偶技驗解碼益’依照估計資料而解碼,以解碼記錄 在全像記錄與再生裝置以及全像再生裝置中, 光接收器的個別像素所得的再生訊號位 準中的f成比率,而且估計資料的極性㈣响)係對應 再生低密度奇偶校驗碼中的每個位元的極性。 …; 根據本發明上述實施例,因為低密度奇偶校 計貧料的絕對值係與從光接收器的個別像素所得的再生々訊 13 I3〇l«4,d〇c 、,⑻力,猎此降低再生里德所羅門碼的位元錯誤率。 在全像記錄與再生裝置以及全像再生裝置中,區塊編 2會產生記錄區塊碼,以使得在空間調整器中_個像 伽後ΐ⑽像素會標示”1’’,而且則11像素中的其他(難) :像。標示,,〇,,(其中Ν及Μ為自然數,且Ν>Μ)。區塊 碼為會依照再生訊號位準增加的順序,選擇光接收器中 ^Ν個像素巾的Μ個像素,並且藉由將所選擇㈣個像 設定為Τ,與(Ν·Μ)個像素設定為,,〇,,,而解碼再生區塊 碼。區塊解碼H可將奴為,,丨,,的像素的再生喊的位準相 加二將設定為”〇”的像素的再生訊號的位準相減,並且計算 。亥些相加及相減位準成比例的估計資料。 、根據本發明上述實施例,因為本發明使用從再生訊號 位準中的差計算而得的估計資料,執行具有低密度奇偶校 驗碼的高效能訊號處理,所以相較於只考慮再生訊號相對 大小而決定資料的範例而言,在本發明中的再生里德所羅 門碼的位元傳輸速率可大大降低。 在全像記錄與再生裝置以及全像再生裝置中,當在區 塊碼的一碼字(code word)中,並無再生區塊碼存在時,根 據再生區塊碼解碼的再生低密度奇偶校驗碼的個別位元的 估計資料可被設定為〇。 根據本發明上述實施例,當再生區塊碼並不對應於低 费度奇偶校驗碼的碼字時,並不會使用再生區塊碼的估計 為料來編碼低您度奇偶校驗碼’藉此可避免因錯誤的估計 130161¾ f.doc 資料所造成的解碼效能惡化問題。 經由本發明之說明及實作,可充分了解及學習本發明 之其他特色及/或優點。 為讓本發明之上述和其他目的、特徵和優點能更明顯 易懂,下文特舉較佳實施例,並配合所附圖式,作詳細說 明如下。 【實施方式】 請參照本發明實施例的内容,且其實例繪示在相對應 I 的圖式中,其中相同的標號代表相同的構件。下文特舉一 較佳實施例,並配合所附圖式,以詳細說明本發明。 <第一實施例> 請參考圖7所示,根據本發明第一實施例的全像記錄 與再生裝置100以及全像再生裝置l〇〇a中的訊號處理器係 包括:一個里德所羅門編碼器1、一個低密度奇偶校驗(以 下簡稱LDPC)編碼器10、一個區塊編碼器2、一個空間調 整器3、一個光接收器5、一個區塊解碼器6、一個低密度 | 奇偶校驗(LDPC)解碼器20、以及一個里德所羅門解碼器7。 里德所羅門編碼器1會用里德所羅門碼,編碼記錄資 料,並且產生一個記錄里德所羅門碼b。LDPC編碼器10 使用LDPC碼,編碼記錄里德所羅門碼b,並且產生一個 I己I彔LDPC石馬c。 區塊編碼為2係用區塊碼編碼記錄LDPC碼c ’並且 產生一記錄區塊碼d。空間調整器3會傳送或攔截個別像 素的目標光束,並且產生具有對應於記錄區塊碼d的棋盤 15 I301^i4ifdoc 積-=二! 錄媒體4係由在㈣ 化,形。當藉由讓光敏材料折射率發生變 圖安^ 形成對應於記錄頁資料的干擾 考:二射在::料記錄在全像記錄媒體4上。經由將參 &…、王像5己錄媒體上,可得到具有對庫於記釺i 貢料的棋盤圖案的再生頁資料。 十[於。己錄頁 哭5,〆可有將如象感測器或CCD影像感測器的光接收 ί碼哭β 6係奸诚頁資料’做光電轉換成一再生訊號P。區塊 城卩驗準,解碼軸於記錄區塊 碼d的再生區塊碼,根據再生區塊碼,解碼對岸於= 再^X=tLDPC碼,並且計算估計資料q,以根據 =;=;!計標科生LDPC_難元的精確 LDPC解碼$ 20會根據估計資料q,解碼LDp , 用生里德所羅門碼"。里德所羅門·解碼器7會 ^二所羅Η碼,解碼再生里德所羅門碼r,並且產生再 以下詳細說明圖7所示的LDPC編碼器1〇4聰解 碼态20、以及區塊解碼器2〇的操作細節。 LDPC編碼n 1G會經由將輸人資料乘上—產生矩 =rix)G,而產生一 LDpc碼。其中,LDpc碼 係由可偶权驗矩陣(parity check matrix)H所完全—蠢。 以下說明奇偶校驗矩陣Η係得自公式6的範例 生矩陣G係得自公式7。因此,當記錄里德所㈣碼匕係 16 13 Ο 1 各 pifdoc 得自公式8時’記錄LDPC碼e係由公式9所 用-差動碼一 田Λ式1所件。精由使 的記錄區塊碼Β"得到由公式3所得 焉,而且可仔圖3所不的記錄頁資料。 ΗThe I3〇16H light beam is incident on the holographic recording medium and is reproduced by the reproduced signal; a block decoder ' _ root 摅Μ ΐ ^ ΐ should be recorded in the block code of the reproduced block code, Low-density "two-code ί Γ ί 低 low-density parity check code re-reproduction low-density parity check ^ leaf different estimate of the low-density odd-element value based on the level of the reproduced signal; and - even parity According to the estimated data, the decoding data is decoded according to the estimated data, and the data reproduction operation is performed by means of light receiving the crying electricity and generating the signal. The other party = the = The block decoder will regenerate the low density parity check code according to the reproduced block code of the regenerative buffer block code according to the reproduction block:, =: == parity code: and two; Estimating the regenerative low-density parity check code individual bits ί 奇 二 中 'reproduced low-density parity check code is decoded by the low jy even technique to decode 'according to the estimated data, to decode and record in the holographic recording and reproducing device and In the holographic reproduction device, the individual pixels of the optical receiver are obtained. The ratio of f in the reproduced signal level, and the polarity of the estimated data (four) is the polarity of each bit in the reproduced low density parity check code. According to the above embodiment of the present invention, because of the low density parity The absolute value of the poor material is the regenerative signal obtained from the individual pixels of the photoreceiver 13 I3〇l «4, d〇c,, (8) force, which reduces the bit error rate of the regenerated Reed Solomon code. In the hologram recording and reproducing apparatus and the hologram reproducing apparatus, the block code 2 generates a recording block code so that _ image gamma (10) pixels are marked "1" in the space adjuster, and 11 pixels are Other (difficult): like. Mark, 〇,, (where Ν and Μ are natural numbers, and Ν>Μ). The block code is selected in the order of increasing the level of the reproduced signal, selecting one pixel of the pixel device in the light receiver, and by setting the selected (four) images to Τ, and (Ν·Μ) pixels Set to ,, 〇,,, and decode the regenerated block code. The block decoding H can add the level of the reproduced signal of the pixel of the slave, 丨, ,, and the level of the reproduced signal of the pixel set to "〇", and calculate. Estimated data for the sum of the additions and subtraction levels. According to the above embodiment of the present invention, since the present invention performs the high-performance signal processing with the low-density parity check code using the estimated data calculated from the difference in the reproduced signal level, it is relatively simple to consider the reproduced signal. The bit transfer rate of the reproduced Reed Solomon code in the present invention can be greatly reduced in terms of the size and the data. In the hologram recording and reproducing apparatus and the hologram reproducing apparatus, when there is no reproduced block code in a code word of the block code, the reproduced low density parity is decoded according to the reproduced block code. The estimated data of the individual bits of the verification code can be set to 〇. According to the above embodiment of the present invention, when the reproduced block code does not correspond to the code word of the low-cost parity code, the estimation of the reproduced block code is not used to encode the low parity code. This can avoid the degradation of decoding performance caused by incorrect estimation of 1301613⁄4 f.doc data. Other features and/or advantages of the present invention will be fully appreciated and appreciated by the <RTIgt; The above and other objects, features and advantages of the present invention will become more <RTIgt; [Embodiment] Please refer to the content of the embodiments of the present invention, and examples thereof are illustrated in the corresponding drawings, wherein the same reference numerals represent the same components. DETAILED DESCRIPTION OF THE INVENTION The present invention will be described in detail below with reference to the preferred embodiments thereof. <First Embodiment> Referring to FIG. 7, a signal processor system in the hologram recording and reproducing apparatus 100 and the hologram reproducing apparatus 10a according to the first embodiment of the present invention includes: a Reed Solomon encoder 1, a low density parity check (hereinafter referred to as LDPC) encoder 10, a block encoder 2, a space adjuster 3, an optical receiver 5, a block decoder 6, a low density | A parity (LDPC) decoder 20, and a Reed Solomon decoder 7. Reed Solomon Encoder 1 encodes the recorded data with a Reed Solomon code and produces a record of Reed Solomon Code b. The LDPC encoder 10 encodes the Reed Solomon code b using an LDPC code, and generates an I I LDPC stone c. The block coding is to record the LDPC code c ' with the block code encoding and generate a recording block code d. The spatial adjuster 3 transmits or intercepts the target beam of the individual pixels, and produces a checkerboard having a code corresponding to the recorded block code d. I301^i4ifdoc product-=two! The recorded medium 4 is formed by (iv). When the refractive index of the photosensitive material is changed, the interference corresponding to the data of the recorded page is formed. The image is recorded on the hologram recording medium 4. The reproduced page material having the checkerboard pattern of the tribute to the 釺i 可i can be obtained by recording the sputum & Ten [to. Have recorded the page crying 5, you can have the light receiving like a sensor or CCD image sensor ί code crying β 6 system rape page information 'to do photoelectric conversion into a regenerative signal P. The block city verifies, decodes the reproduced block code of the recording block code d, decodes the opposite bank ==X=tLDPC code according to the reproduced block code, and calculates the estimated data q according to ===; The accurate LDPC decoding of $20 for the LDPC_Difficult element of the standard syllabus will be based on the estimated data q, decoding LDp, using the Reed Solomon code ". The Reed Solomon decoder 7 will decode the Reed Solomon code r, and generate the LDPC encoder 1 〇 4 Congde decoding state 20 shown in FIG. 7 and the block decoder. 2〇 operation details. The LDPC code n 1G generates an LDpc code by multiplying the input data by generating a moment = rix) G. Among them, the LDpc code is completely stupid by the parity check matrix H. The following description of the parity check matrix is derived from the example of Equation 6. The raw matrix G is derived from Equation 7. Therefore, when recording the Reed (4) code system 16 13 Ο 1 each pifdoc is obtained from the formula 8 'recording LDPC code e is used by the formula 9 - differential code one field type 1 piece. The recording block code of the precision is obtained from the formula 3, and the page data can be recorded in Fig. 3. Η
10 10 0' 1 1 ο 1 〇 〇 1 0 0 110 10 0' 1 1 ο 1 〇 〇 1 0 0 1
(6)(6)
⑺ (8) c = bG = [〇 1 1 0 0 1 0 Γ 0 10 110 0 0 10 11(7) (8) c = bG = [〇 1 1 0 0 1 0 Γ 0 10 110 0 0 10 11
17 1 、LDPC解碼器20使用下文中將說明的一·種和_積解碼 法(sum-product decoding method)解碼 LDPC 碼。在此假設 在奇偶校驗矩陣Η中的列(row)的個數為M,且行(c〇lumn) 的個數為N,則由公式6可得M=3及N=6。 [運算1 ··初始化] 首先,讓所有(m, η)對的奇偶校驗矩陣的元素(m, n)為 1 ’換吕之’讓Hmn=l,並且讓對數預值比(logarithmic pre-value ratio)pmn=0 〇 [運算2 :列處理] 接下來,讓所有(m,n)對中m=l、2、···、Μ對應列的 I301645pifd〇c17 1 , the LDPC decoder 20 decodes the LDPC code using a sum-product decoding method which will be described later. It is assumed here that the number of rows in the parity check matrix 为 is M, and the number of rows (c〇lumn) is N, then M=3 and N=6 can be obtained from Equation 6. [Operation 1 ··Initialization] First, let the elements (m, n) of the parity check matrix of all (m, η) pairs be 1 'replace L', let Hmn = l, and let the logarithm pre-value ratio (logarithmic pre -value ratio)pmn=0 〇[Operation 2: Column processing] Next, let all (m, n) pairs of m=l, 2, ···, Μ corresponding columns of I301645pifd〇c
Hmn=l,並且從公式10中算出對數外值比(1〇garithmic exterior-value ratio)amn。 在公式10中’符號函數(sign function)係代表由公式 11所定義的極性。 nsign(qn.+Pmn〇 ξ A(m)\n 〆 Σ%η·十β」)Hmn=l, and the 外garithmic exterior-value ratio amn is calculated from the formula 10. In Equation 10, the 'sign function' represents the polarity defined by Equation 11. Nsign(qn.+Pmn〇 ξ A(m)\n 〆 Σ%η· 十β”)
VeA(m)\n (10)VeA(m)\n (10)
sign(x)= 1,x>0 一 1, x<0 … (11) 其中’ f(x)係為一個由公式12所定義的Gallager函數。 估計資料係由公式13所得,且係得自當記錄ldpc 碼c的第η行元素Cn為0或1時,再生訊號位準為p的條 件機率(conditional probability)的對數比(l〇garithniicSign(x)= 1,x>0 a 1, x<0 (11) where 'f(x) is a Gallager function defined by Equation 12. The estimated data is obtained from Equation 13 and is obtained from the logarithmic ratio of the conditional probability of the regenerative signal level to p when the η row element Cn of the ldpc code c is 0 or 1. (l〇garithniic
ratio)。包含在公式10中的公式14,係代表用來計算所有 非弟η行元素Cn的其他行的第m列元素的乘積 (multiplication)或總和(summation)。 f⑻= exp(x) -1 (12) qn = In P(p|cn=〇) P(p|cn =1) (13) (Η) n’e A(m)\n [運算3 :行處理] Ι3016ιΐ5§ρι pif.doc 讓所有(m,η)對中η=1、2、…、Ν對應行的Hmn=l, 並且讓對數預值比pmn=〇。包含在公式15中的公式16,係 使用一個代表行位置的變數m,,將所有非第m列的其他 列的第η行元素相加。其中,在重覆運算2及運算3 —個 預定次數之後,接下來會執行運算4。 βιηη = Σ%. e B(n)\m :Β(η)\ι (15)Ratio). Equation 14 included in Equation 10 represents the multiplication or summation of the mth column element of the other rows used to calculate all non-dimension η row elements Cn. f(8)= exp(x) -1 (12) qn = In P(p|cn=〇) P(p|cn =1) (13) (Η) n'e A(m)\n [Operation 3: OK Processing] Ι3016ιΐ5§ρι pif.doc Let all (m, η) pairs η = 1, 2, ..., H correspond to the line Hmn = l, and let the logarithm pre-value than pmn = 〇. Equation 16 included in Equation 15 adds all the nth row elements of the other columns other than the mth column using a variable m representing the position of the row. Here, after repeating the operation 2 and the operation for a predetermined number of times, the operation 4 is executed next. Βιηη = Σ%. e B(n)\m :Β(η)\ι (15)
[運算4 :解碼碼字] (16) 在本運算中,係用公式17,記錄再生碼^ 一一 素rn(其中n=l、2、".、N)。接下來,宣告此二仃7L 束。包含在公式17中的公式18,係使用一個:方法結 的變數m,,將所有第η行元素相加。 表行> rn[Operation 4: Decoded Codeword] (16) In this calculation, the reproduction code ^1 rn (where n = 1, 2, "., N) is recorded using Equation 17. Next, declare this two 7L bundle. Equation 18, which is included in Equation 17, adds all the nth row elements using a variable m of the method junction. Table row > rn
〇,ifsignqj [am.n V m'eB(n) 1, ifsigniqn+ Jam,n V mr€B(n) :B(n) :—1 (17) 以下說明當奇偶校驗矩陣H係得自公式6 士 (18) -積解碼法的範例。其中,運算2合 :盼的一種和 會執行運算4。 胃而且接下來 (19) 130164^^d〇c (19) ] lx 算 f&c [^1 β14β25β36 II = 一| 1252333 β β β II II = 112231 β β β [運算2(第一次)] α,! = (sign(q2) -sign(q4))f (f (jq2|)-f f (|q4|)) a12 = (sign(q】)· sign(q4 ))f (f (jq】|)+ f (jq41》 aI4 =(sign(q〇.sign(q2))f(f(jq1|)+f(]q2|)) °^36 = (sign(q】)· sign(q3 ))f (f (jq, |)+ f (]q31)) (20) [運算3] β丨 1 =a31 β31 ~ all β]2 - a22 [運算2(第二次)] , a" :(sign(q2 +P12)-sign(q4 +β14)Χ(ίψι2 +β12|)+φ4 +β14|)) a12 = (signh + β!】).sign(q4 +β14 ))f (f 知 + Pi! |)+ f (|q4 + β141)) a14 = (sign(q, + β!,) · sign(q2 + β12 ))f (fl + β! 11)+ f (|q2 + β121)) a36 =(sign(q1 +P3i)*sign(q3 +p33))f(f(|q1 +P3i|)+f(|q3 +β33|)) (22) 20 ,Ι3〇1615_。。 [運算4] ίο, if sig^qj -f απ +α31)=1 \h if sign(qi +au +α31) = -1 r2 =〇, ifsignqj [am.n V m'eB(n) 1, ifsigniqn+ Jam, n V mr€B(n) :B(n) :-1 (17) The following shows when the parity check matrix H is derived from the formula 6 (18) - An example of the product decoding method. Among them, the operation 2 is combined with the expected one and the operation 4 is executed. Stomach and then (19) 130164^^d〇c (19) ] lx count f&c [^1 β14β25β36 II = one | 1252333 β β β II II = 112231 β β β [Operation 2 (first time)] α,! = (sign(q2) -sign(q4))f (f (jq2|)-ff (|q4|)) a12 = (sign(q))· sign(q4 ))f (f (jq) |)+ f (jq41) aI4 =(sign(q〇.sign(q2))f(f(jq1|)+f(]q2|)) °^36 = (sign(q))· sign(q3 ) )f (f (jq, |)+ f (]q31)) (20) [Operation 3] β丨1 = a31 β31 ~ all β]2 - a22 [Operation 2 (second time)] , a" :( Sign(q2 +P12)-sign(q4 +β14)Χ(ίψι2 +β12|)+φ4 +β14|)) a12 = (signh + β!]).sign(q4 +β14 ))f (f know + Pi ! |)+ f (|q4 + β141)) a14 = (sign(q, + β!,) · sign(q2 + β12 ))f (fl + β! 11)+ f (|q2 + β121)) a36 =(sign(q1 +P3i)*sign(q3 +p33))f(f(|q1 +P3i|)+f(|q3 +β33|)) (22) 20 , Ι3〇1615_. . [Operation 4] ίο, if sig^qj -f απ +α31)=1 \h if sign(qi +au +α31) = -1 r2 =
if sign(q3+a23+cx33)=l if sign(q3 + a23 + a33) = 一1 0,if sign(q2+a12+a22)=l 1,if sign(q2+a12+a 22) = ^1If sign(q3+a23+cx33)=l if sign(q3 + a23 + a33) = a 1 0, if sign(q2+a12+a22)=l 1,if sign(q2+a12+a 22) = ^ 1
if sign(q6+a36)=l if sign(q6+a36) = -l 0, ifsign(q1+a,1+a31)=l 1, ifsign(q1+a1I+a31)^| % ifsign(q2+a12+a22)=l ),ifsign(q2+a12+a22):-l 0, ifsign(q3+a23+a33)=l 1,ifsign(q3+a23+a33)=-1If sign(q6+a36)=l if sign(q6+a36) = -l 0, ifsign(q1+a,1+a31)=l 1, ifsign(q1+a1I+a31)^| % ifsign(q2+ A12+a22)=l ), ifsign(q2+a12+a22): -l 0, ifsign(q3+a23+a33)=l 1, ifsign(q3+a23+a33)=-1
0,㈣ ,1,ifsig4+%)=-1 (23) 圖8係綠示一個根據本發明一實施例的一個ldpC解 碼器20的電路圖。此電路具有一種資料係由上往下流的管 路(pipeline)結構,而且連續訊號會輸入至其中。然而,此 21 13016½ if.doc 結構:中〜其亦可為-環狀(--) 直φ,^ n 丹口饋至其中,以更新記憶體内容。 i在計算絕U士數T可包含在—查表(i°°k_up tabie)中。 設定為Ιί。符^函的最高位私m°stsignifieantbit) 可蝻取碼的最高位元,且函數符號 二瞀告貝輕易地由—種互斥邏輯和㈣心代^叫 5丁异貫現。 =圖7及圖8所不’LDPC解碼器20會接收估計資料 ^行和-積解碼法,並且輸出再生里德所羅門碼r。因此, 根據本實_的區塊解碼器6,會計算再生滅p位準之 間的位準差△’以獲得估計資料q,並且將估計資料q輸入 至LDPC解碼器20。 作又。又再生成號p的機率分佈(probability distribution) 係對應於平均值(average)為m與變異數(variance)為σ2的一 個咼斯分佈(Gaussian distribution),則由公式·24可算出再 生sfl號ρ的機率密度函數density function)。當 用差動碼當成區塊碼時,可由公式25算出公式13中的估 計資料q。 (24) 22 13 016綠 f.doc q = ln P(p[c = 〇) P(p|c = l) V^Tto" ν2πσ^ 2(P2—P!) -exp- .(p2zpm£_] ___ 2σ2_I L(P2zPl±1)!]0, (4), 1, ifsig4 + %) = -1 (23) Figure 8 is a circuit diagram showing an ldpC decoder 20 according to an embodiment of the present invention. This circuit has a pipeline structure in which data flows from top to bottom, and continuous signals are input thereto. However, this 21 130161⁄2 if.doc structure: medium ~ it can also be - ring (--) straight φ, ^ n Dan mouth feeds to update the memory content. i can calculate the absolute U number T can be included in the - lookup table (i ° ° k_up tabie). Set to Ιί. The highest bit of the ^^ letter is m°stsignifieantbit), and the highest bit of the code can be retrieved, and the function symbol is easily categorized by the mutually exclusive logic and (4) the heart and the ring. = FIG. 7 and FIG. 8 do not employ the LDPC decoder 20 to receive the estimated data and the line-product decoding method, and output the reproduced Reed Solomon code r. Therefore, according to the block decoder 6 of the real__, the level difference Δ' between the regenerative p-levels is calculated to obtain the estimated data q, and the estimated data q is input to the LDPC decoder 20. Do it again. The probability distribution of the regenerated number p corresponds to a Gaussian distribution with an average of m and a variance of σ2, and the regeneration sfl number can be calculated by the formula 24 The probability density function of ρ. When the differential code is used as the block code, the estimated data q in Equation 13 can be calculated by Equation 25. (24) 22 13 016 green f.doc q = ln P(p[c = 〇) P(p|c = l) V^Tto" ν2πσ^ 2(P2—P!) -exp- .(p2zpm£_ ] ___ 2σ2_I L(P2zPl±1)!]
換έ之’假設光接收器5的鄰近上下像素的再生訊號 位準係為Pl&P2’解差△係由公Α 26所算出,而且再乘 上-個成比例的常數(constant 〇f pr。师i〇naHty),則可由 公式27算出估計資料q。其中,變異數(σ2)可用一計算電 路從再生訊號ρ實際測量出,或可用儲存在記憶體中的一 預定值。 △ = P2—PlIn other words, it is assumed that the regenerative signal level of the adjacent upper and lower pixels of the optical receiver 5 is Pl & P2 'the difference Δ is calculated by the public Α 26, and multiplied by a proportional constant (constant 〇f pr If the teacher i〇naHty), the estimated data q can be calculated by Equation 27. The variation number (σ2) can be actually measured from the reproduced signal ρ by a calculation circuit, or can be stored in a predetermined value in the memory. △ = P2—Pl
如上,述,在本實施例中,藉由合併區塊碼與ldpc 碼’可以㊄可靠度的方式,再生與記錄資料相同的再生資 料。在從全像5己錄媒體再生的再生頁資料中,個別像素的 骨度位準會因各種干擾而變,因此會具有多數值的灰色位 準(gray levels)。然而,在本實施例中,因係使用具多數值 =準的再生訊號的位準資料,有效地計算LDpc碼的估計 資料,故可改善LDPC碼的錯誤修正能力,並且藉此降低 再生里德所羅門碼的位元錯誤率。 <第二實施例> 23 1301615§pifd〇c 、…、:在第一貫施例中,係用差動碼當成區塊碼使用, 然亦可使用2 : 4碼。有關2 ·· 4碼的編碼規則係如圖9所 不,且記錄頁資料的範例係繪示於圖10中。 在此例中,區塊解碼器6會比較組成2 ·· 4碼碼字的 的亮度位準,並且以亮度增加的順序,將該些像 ”、立準分別設定為Pi、P2、P3、及P4。其中,位準差^ 可由公式28、公式29、或公式30計算而得。 Δ==Ρι-(ρ2 + ρ3+ρ4)As described above, in the present embodiment, the same reproduction data as the recorded material can be reproduced by combining the block code and the ldpc code' in a five-reliability manner. In the reproduced page data reproduced from the hologram 5 recorded media, the bone level of the individual pixels is changed by various disturbances, and thus there are multiple numerical gray levels. However, in the present embodiment, since the estimated data of the LDPC code is effectively calculated by using the level data of the reproduced signal having multiple values = quasi, the error correction capability of the LDPC code can be improved, and the regenerative reed can be reduced. The bit error rate of the Solomon code. <Second Embodiment> 23 1301615§pifd〇c, ...,: In the first embodiment, the differential code is used as the block code, but the 2:4 code can also be used. The coding rules for the 2··4 code are as shown in Fig. 9, and an example of the recorded page data is shown in Fig. 10. In this example, the block decoder 6 compares the luminance levels of the code numbers constituting the 2·· 4 code, and sets the images and the alignments to Pi, P2, and P3, respectively, in the order of increasing brightness. And P4, wherein the level difference ^ can be calculated by Equation 28, Equation 29, or Equation 30. Δ==Ρι-(ρ2 + ρ3+ρ4)
(28) Δ = ρ1^·Ρι+Ρ2+^3+Ρ4 士請參考圖9所示,當右上角像素的亮度位準會最高 時’身為記錄區塊碼d的估計值的再生區塊碼3,可由: f二計J而得’而身為記錄LDPC碼c的估計值的再: LDPC碼c,可由公式32計算而得。(28) Δ = ρ1^·Ρι+Ρ2+^3+Ρ4 Please refer to Figure 9. When the brightness level of the pixel in the upper right corner is the highest, the reconstructed block code is the estimated value of the block code d. 3, can be: f two counts J and then as the estimated value of the recorded LDPC code c: LDPC code c, can be calculated by the formula 32.
(U 〇 Γ 〇0 (31) [0 1] 因所估計的再生LDPC碼係與位準差△成比率,所以 所估計的再生LDPC碼的第-行的估計資心丨與第二行的 估計資料q2 ’係可由公式33計算而得。當_計的記錄 LDPC碼Cn=0係大於公式13之值時,“為正值,而且 24 I if.doc 當cn=l的可能性係大於公式13時, qi 在公式对u為正值,且貞值。因此 2Δ 2Δ 生,解碼再生 =;加’以及將設定為,,°”的像素的亮度位準3: 碼H 成比率,且其極性係對應於再生1^: <第三實施例> · 素為㈣”1” ’其他七個像 九個ΐΐ==ΓΓ5會選擇組成5:9碼碼字的 位準為M p 所選擇的兩個像素的 p6、P7、ρ8、ί 像素的位準分別為PH、 以2的冪次方代表H S為8可以23表示’亦即可 戈表,為在數位電路中方便執行除法起見, 25 (34) (35)(U 〇Γ 〇 0 (31) [0 1] Since the estimated regenerated LDPC code system is proportional to the level difference Δ, the estimated value of the first line of the estimated regenerated LDPC code is compared with the second line. The estimated data q2 ' can be calculated by Equation 33. When the recorded LDPC code Cn = 0 is greater than the value of Equation 13, "is positive, and 24 I if.doc is greater than the probability of cn = l is greater than In Equation 13, qi is positive for u in the formula and 贞. Therefore 2 Δ 2 Δ is generated, decoding is reproduced =; plus 'and the brightness level of the pixel set to , °° is 3: code H is proportional, and The polarity corresponds to the reproduction 1^: <Third embodiment> · The prime is (4) "1" 'The other seven like nine ΐΐ == ΓΓ 5 will select the level of the 5:9 code code word as M p The p6, P7, ρ8, ί pixels of the selected two pixels are respectively PH, and the power of 2 represents HS as 8 and 23 means 'Also can be set, which is convenient for performing division in digital circuits. See, 25 (34) (35)
在 〇 0 〇 〇] 13016½^ 可將8當成在公式35及公式36右邊第二項的分母使用。 备再生§fl號P通過高通渡波器(high-pass fiiter)時,在公式 36右邊第二項的值會幾乎為〇,並可被移除,因此可由公 式37得到位準差a。 Δ==(Ρι +Ρ2)-(ρ3 +ρ4 +Ρ5 +Ρ6 +Ρ7 +Ρ8 +Ρ9) △ = Ρ3+Ρ4+Ρ5+Ρ6+Ρ7+Ρ8+Ρ9 2 ^ 8 ~~ Δ = Pi±£i_ Ρι +Ρ2 +Ρ3 +Ρ4 +Ρ5 +Ρ6 +Ρ7 +Ρ« +D. 2 8 ' *~~~ (36) A^h±P2 2 (37) Γ馬的範例中,言史定為τ的像素組個數係為 因此,用來當成區塊碼碼字的像素組個數則為25=32。 圖12沐有36·22=4個像素組並不在碼字中。舉例而言,如 、厅不的4個像素組可能並不用在^5馬字中.。In 〇 0 〇 〇] 130161⁄2^, 8 can be used as the denominator of the second term on the right side of Equation 35 and Equation 36. When the §fl number P passes through the high-pass fiiter, the value of the second term on the right side of the formula 36 is almost 〇 and can be removed, so the level difference a can be obtained by the formula 37. Δ==(Ρι +Ρ2)-(ρ3 +ρ4 +Ρ5 +Ρ6 +Ρ7 +Ρ8 +Ρ9) △ = Ρ3+Ρ4+Ρ5+Ρ6+Ρ7+Ρ8+Ρ9 2 ^ 8 ~~ Δ = Pi±£i_ Ρι +Ρ2 +Ρ3 +Ρ4 +Ρ5 +Ρ6 +Ρ7 +Ρ« +D. 2 8 ' *~~~ (36) A^h±P2 2 (37) In the example of Hummer, the history is determined as τ The number of pixel groups is such that the number of pixel groups used as block codewords is 25=32. Figure 12 has 36·22 = 4 pixel groups and is not in the codeword. For example, a 4-pixel group such as a hall may not be used in a ^5 horse character.
組成t ’因允許區塊解碼器6以亮度增加的順序,選擇 圖6所厂馬碼子的九個像素的其中兩個像素,所以會有如 資料,素組存在。在此例中,無法獲得可靠的估計 在5 : 9區,解碼器6會設定cr〇給LDPC解碼器20。 螞的$ π碼的範例中,因為該九像素係對應於再生LDPC 所以可得公式38。此㈣ 子的估計資料,執行LDPC解碼動作。 hi - (38) 26 13016½ pif.doc 13016½ pif.docThe composition t ’ is selected by allowing the block decoder 6 to select two of the nine pixels of the horse code of Fig. 6 in the order of increasing brightness, so that there is a data set and a prime group exists. In this example, a reliable estimate cannot be obtained. In the 5:9 area, the decoder 6 sets the cr〇 to the LDPC decoder 20. In the example of the $ π code of the eagle, since the nine-pixel system corresponds to the regenerated LDPC, Equation 38 can be obtained. This (four) sub-estimation data performs an LDPC decoding operation. Hi - (38) 26 130161⁄2 pif.doc 130161⁄2 pif.doc
為簡化說明起見,雖然在上述實施例中,已說明過瑪 、度N為6 ’且奇偶校驗碼係得自公式6的範例。然而, LDPC碼的碼長度N可能為數十或數百個位元。此外For the sake of simplification of the description, although in the above embodiment, the example in which the degree N is 6 ' and the parity code is obtained from the formula 6 has been described. However, the code length N of the LDPC code may be tens or hundreds of bits. In addition
、在全像記錄與再生裝置中,因為光學系統的機械位置 偏差或全像記錄媒體收縮’可能會造成空間調整器 與光接收1§的像素之間的位置發生錯誤。為避免因位置錯 誤造成效能惡化,可能會使用一種稱為過度取; (^ver sampling)的技術。在這種過度取樣技術中,空間調整 裔的像素與光接m像素,並非係以丨:丨的比率互 應’而係以例如1:4的比率關係對應。請參考圖13所示, 記錄^料係映射至(mapped)再生f f料兩次,而且 解碼器6的四個像素係標示記錄區塊碼d的1位元。區塊 解碼盗6可㈣四個像素的再生訊號的位準相加所得的— 數值,來取得一個像素的再生訊號。 ,化說明域,軸之前已綱過運算2會觀覆執行兩 -人。然而,和-積解碼法可被重覆執行四到數十次,且可用 與上述範例相似的方式,將本發明應用在此例中。 雖然上述說明的實施例係以差動碼、2: 4碼、以及5 : 9碼當成區塊碼❹’但本發明並衫限於上述實施例。 I夕’雖然已說明過估計資料係與位準差△成比率,但是 八^貧i q亦可為位準差△的任何函數,且該函數係依照 錄與再Μ置巾的各針擾的機率分佈而定。錯誤 二。^亚不㈣於只能使用里德所羅mi,亦可使用其他 田LDPC碼的修正能力夠高時,即不需使用里德所羅 27 13 Ο 1 6i<^)ifdoc 門碼及其他錯誤修正碼。 士因為根據本發明的全像記錄與再生裝置以及全像再 置’兩者都會將區塊碼與LDPC碼合併,因此可以高 罪度的方式’再生與g錄資料相同的再生資料。在習知 的全像記錄與再生裝置以及習知的全像再生裝置中,其再 生Λ號的訊號雜訊比通常會因各種干擾而惡化。然而 根據本發明的全像記錄與再生裝置以及 因=用具較強錯誤修正能力的LDPC碼,因此可降“ 生里“所羅門碼的位元錯誤率。 一 此外’在即將從全像記錄舰再生的再生頁資料中, 像素的亮度位準會因各種干擾而改變,且該些亮度 。在根據本發明的 與再生裝置以及全像再絲置中,因在此兩範例 心=估計㈣制具包含在—連續範圍之内的 勺再生心虎的位準資料有效計算而得 r錯:一能力’並可降低再生里德所羅_ 限定^^發明c以較佳實施例揭露如上,然其並非用以 和rt Γ壬何熟習此技藝者’在不脫離本發明之精神 範圍當視後者3本發明之保護 【圖式簡單說明】 為丰 處理㈣㈣全像記錄與再生裝置中的訊號 28 f.doc I301615pi 圖 意圖 2係身示-_咖_物度峨例的示 料範例的示意圖。 意圖 。 目所7^的記錄頁資料位準範例的示 意圖 =示一個用來說明再生頁資料範例的示意圖。 。係w-個圖5所示的再生頁資料位準範例的示 圖7係繪+ u 與再生裝置;彻明-實施例的-個全像記錄 圖8係2 器的方塊圖。 偶校驗解碼器的電:據本發明一實施例的-個低密度奇 圖9係纟备- 素亮度位準的:::本發明-實施例所產生的個別像 圖 1 〇 了 j 頁資料範例的;;圖固根據本發明-實施例所產生的記錄 頁資:範個根據μ明-實施例所產生的記錄 記錄資來說明根據本發明另-實施例的 r , ^ ^ 生貝貝枓之間相互關係的示意圖。 芏要元件符號說明】 1 ·里德所羅門編碼器 29 I3016i<S)ifdoc 2 :區塊編碼器 3 :空間調整器 4:全像記錄媒體 5 :光接收器 6:區塊解碼器 7:里德所羅門解碼器 100 :全像記錄與再生裝置 100a :全像再生裝置In the hologram recording and reproducing apparatus, the positional deviation between the space adjuster and the light receiving unit may be caused by the mechanical position deviation of the optical system or the contraction of the hologram recording medium. To avoid performance degradation due to location errors, a technique called ^ver sampling may be used. In this oversampling technique, spatially adjusted pixels and optically connected m pixels are not in a ratio of 丨:丨, but correspond to a ratio relationship of, for example, 1:4. Referring to FIG. 13, the recording system maps the reproduction f f twice, and the four pixels of the decoder 6 indicate the 1-bit of the recording block code d. The block decoding 6 can obtain the reproduced signal of one pixel by adding the value of the level of the reproduced signal of four pixels. , the description of the domain, the axis has been before the operation 2 will be observed to perform two - people. However, the sum-product decoding method can be repeatedly performed four to several times, and the present invention can be applied to this example in a manner similar to the above-described examples. Although the above-described embodiments use a differential code, a 2:4 code, and a 5:9 code as the block code ❹', the present invention is limited to the above embodiment. Although I have explained that the estimated data is proportional to the level difference Δ, the eight-difference iq can also be any function of the level difference Δ, and the function is based on the recording of each needle of the re-arranged towel. The probability of distribution depends. Error two. ^Asian (four) can only use Reed Siro mi, can also use other field LDPC code correction ability is high enough, that is, do not need to use Reed Solo 27 13 Ο 1 6i < ^) ifdoc door code and other errors Correction code. Since both the hologram recording and reproducing apparatus and the holographic re-arrangement according to the present invention combine the block code with the LDPC code, the same reproduced material as the g recorded material can be reproduced in a high degree of sin. In the conventional hologram recording and reproducing apparatus and the conventional hologram reproducing apparatus, the signal noise ratio of the reproduced nickname is usually deteriorated by various disturbances. However, according to the holographic recording and reproducing apparatus of the present invention and the LDPC code which is capable of correcting the error of the appliance, the bit error rate of the "Sene" code can be lowered. In addition, in the reproduction page data to be reproduced from the hologram recorder, the brightness level of the pixel changes due to various disturbances, and the brightness. In the regenerative device and the holographic re-wire according to the present invention, the error is obtained by effectively calculating the level data of the scoop regenerative heart in the two consecutive examples. An ability 'and ability to reduce the regeneration of Reed's _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ The latter 3 The protection of the present invention [Simple description of the drawing] For the processing of the (4) (4) holographic recording and reproducing device, the signal 28 f.doc I301615pi is intended to be a schematic diagram of the sample of the _ _ _ _ physical degree example . Intention. The purpose of the record page data level example of the target page 7 is a schematic diagram showing an example of the reproduction page data. . Fig. 7 is a diagram showing the reproduction page data level example shown in Fig. 5. Fig. 7 is a diagram showing the +u and the reproduction device; and the hologram recording of the embodiment is shown in Fig. 8. Fig. 8 is a block diagram of the device. The power of the even parity decoder: according to an embodiment of the present invention, a low-density singularity diagram 9-standard luminance level::: The individual image generated by the present invention-embodiment is shown in Figure 1. The data sheet according to the present invention-embodiment is described in accordance with the recording record of the embodiment, and the r, ^^ raw babe according to another embodiment of the present invention is illustrated. Schematic diagram of the relationship between 枓. Main component symbol description] 1 · Reed Solomon encoder 29 I3016i < S) ifdoc 2 : Block encoder 3 : Space adjuster 4 : All-image recording medium 5 : Optical receiver 6 : Block decoder 7 : De Solomon decoder 100: hologram recording and reproducing device 100a: holographic reproducing device
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| JP2004112363A JP4188870B2 (en) | 2004-04-06 | 2004-04-06 | Hologram medium recording / reproducing apparatus and hologram medium reproducing apparatus |
| KR1020040080734A KR100584607B1 (en) | 2004-04-06 | 2004-10-09 | Hologram medium recording and reproducing apparatus and hologram medium reproducing apparatus |
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| JP (1) | JP4188870B2 (en) |
| KR (1) | KR100584607B1 (en) |
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| TWI661283B (en) * | 2017-08-04 | 2019-06-01 | Visera Technologies Company Limited | Imaging sensor using phase-shifting hologram |
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| JP4545684B2 (en) * | 2005-12-13 | 2010-09-15 | シャープ株式会社 | Decoding device, playback device, decoding method, decoding program, and recording medium therefor |
| JP2007184067A (en) * | 2006-01-10 | 2007-07-19 | Sony Corp | Data identification method and apparatus |
| JP4661599B2 (en) * | 2006-01-12 | 2011-03-30 | ソニー株式会社 | Data identification method and apparatus |
| US7907496B2 (en) * | 2006-03-31 | 2011-03-15 | Pioneer Corporation | Two-dimensional demodulation method, two-dimensional demodulation apparatus and holographic apparatus |
| JP2007336529A (en) * | 2006-05-16 | 2007-12-27 | System Lsi Kk | Encoder, decoding device, and error correction apparatus |
| KR100738983B1 (en) * | 2006-06-07 | 2007-07-12 | 주식회사 대우일렉트로닉스 | Method and apparatus for decoding low density parity check code, apparatus for reproducing optical information using same |
| JP2008065969A (en) * | 2006-08-09 | 2008-03-21 | Fujitsu Ltd | Encoding device, decoding device, encoding method, decoding method, and storage device |
| KR100837078B1 (en) * | 2006-09-01 | 2008-06-12 | 주식회사 대우일렉트로닉스 | Optical information recording device using low density parity check code |
| US7702164B2 (en) * | 2006-09-22 | 2010-04-20 | International Business Machines Corporation | Run length limited encoding of data into a 5×5 matrix for recording into a holographic medium |
| JP4704309B2 (en) * | 2006-10-10 | 2011-06-15 | シャープ株式会社 | Signal evaluation apparatus, signal evaluation method, signal evaluation program, and computer-readable recording medium |
| JP2008159200A (en) * | 2006-12-26 | 2008-07-10 | Sony Corp | Hologram reproducing device, hologram reproducing method, reading device, and reading method |
| KR101336247B1 (en) | 2007-02-23 | 2013-12-03 | 삼성전자주식회사 | Recording reproducing method, recording reproducing apparatus and holographic storage medium |
| JP4863947B2 (en) * | 2007-07-19 | 2012-01-25 | 日本放送協会 | Modulation table optimum solution search method, and hologram information recording / reproducing apparatus equipped with the modulation table |
| KR100825636B1 (en) * | 2007-08-17 | 2008-04-28 | 주식회사 대우일렉트로닉스 | Data page and data processing method for holographic data processing using low density parity check code |
| KR100829357B1 (en) * | 2007-08-17 | 2008-05-13 | 주식회사 대우일렉트로닉스 | Optical information reproducing apparatus and method using low density parity check code |
| JP2009140555A (en) * | 2007-12-05 | 2009-06-25 | Nippon Hoso Kyokai <Nhk> | Hologram data deterioration compensation device |
| JP4866866B2 (en) * | 2008-01-09 | 2012-02-01 | 三菱化学メディア株式会社 | Information recording and playback method |
| WO2009150707A1 (en) * | 2008-06-09 | 2009-12-17 | パイオニア株式会社 | Generating method of inspection matrix, inspection matrix, decoding device and decoding method |
| JP4964835B2 (en) * | 2008-07-02 | 2012-07-04 | シャープ株式会社 | Two-dimensional signal conversion apparatus, two-dimensional signal conversion method, control program, and computer-readable recording medium recording the control program |
| JP4748227B2 (en) | 2009-02-10 | 2011-08-17 | ソニー株式会社 | Data modulation apparatus and method |
| JP5049988B2 (en) * | 2009-02-27 | 2012-10-17 | 株式会社日立製作所 | Signal quality evaluation apparatus, signal quality evaluation method, and information recording medium |
| WO2012032601A1 (en) * | 2010-09-07 | 2012-03-15 | 株式会社 東芝 | Two-dimensional information recording/reproducing method |
| JP2013004147A (en) * | 2011-06-17 | 2013-01-07 | Hitachi Consumer Electronics Co Ltd | Optical information playback device and optical information playback method |
| TWI457921B (en) * | 2011-09-28 | 2014-10-21 | Univ Nat Chiao Tung | Holographic data storage system and image recognition method thereof |
| KR102058499B1 (en) * | 2013-01-02 | 2020-01-22 | 삼성전자주식회사 | Semiconductor memory system including reed-solomon low density parity check decoder and read method thereof |
| JP6094928B2 (en) * | 2012-05-31 | 2017-03-15 | パナソニックIpマネジメント株式会社 | Decoding system and decoding method |
| JP6985843B2 (en) * | 2017-08-08 | 2021-12-22 | 日本放送協会 | Modulation code creation method, hologram recording / playback method, and hologram recording / playback device |
| JP7079154B2 (en) * | 2018-06-07 | 2022-06-01 | 日本放送協会 | Encoding device, decoding device, and hologram recording / playback device |
| JP7189742B2 (en) * | 2018-11-19 | 2022-12-14 | 日本放送協会 | Decoding device, hologram reproducing device, and decoding method |
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- 2004-10-09 KR KR1020040080734A patent/KR100584607B1/en not_active Expired - Fee Related
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| TWI661283B (en) * | 2017-08-04 | 2019-06-01 | Visera Technologies Company Limited | Imaging sensor using phase-shifting hologram |
| US10423122B2 (en) | 2017-08-04 | 2019-09-24 | Visera Technologies Company Limited | Lens-free image sensor using phase-shifting hologram |
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| CN1950887A (en) | 2007-04-18 |
| KR100584607B1 (en) | 2006-05-30 |
| TW200534265A (en) | 2005-10-16 |
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| KR20050098757A (en) | 2005-10-12 |
| JP4188870B2 (en) | 2008-12-03 |
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