Interpage Interference Research Articles

홀로그래픽 데이터 저장장치를 위한 4레벨 3/4 변조부호

홀로그래픽 데이터 저장장치는 빠른 전송 능력, 짧은 접근 시간, 그리고 높은 저장용량 등의 장점을 가진다. 하지만 홀로그래픽 데이터 저장장치는 인접 심볼간 간섭, 인접 페이지간 간섭, 어긋남 등의 여러 가지 오류요인이 있다. 특히 멀티레벨 홀로그래픽 데이터 저장장치는, 한 픽셀이 나타내는 정보가 0과 1의 이진수가 아닌 그 이상의 정보를 저장하고 있기 때문에, 위와 같은 간섭들이 더 크게 발생할 수 있다. 본 논문에서는 4-레벨 홀로그래픽 데이터 저장장치에서 인접 심볼간 간섭을 줄이기 위한 3/4 변조 부호를 제안한다.

홀로그래픽 저장장치를 위한 2차원 6/8 균형부호의 트렐리스 인코딩

Holographic data storage is a strong contender to become the next-generation data storage method. Its major weaknesses are two-dimensional intersymbol interference between neighboring pixels and interpage interference caused by storing multiple pages in a single volume of hologram. In this paper, we present a trellis encoding scheme of 6/8 balanced modulation code, to address the two weaknesses. The proposed modulation coding scheme captures on characteristics of the balanced code: the scheme relaxes IPI and enables error correction by exploiting the trellis structure. The proposed method showed improved SNR over the conventional 6/8 modulation

Two-Dimensional 8/9 Error Correcting Modulation Code

In holographic data storage (HDS), a high transmission rate is accomplished through the use of a charge coupled device array for reading two-dimensional (2D) pixel image data. Although HDS has many advantages in terms of storage capacity and data transmission rates, it also features problems, such as 2D intersymbol interference (ISI) by neighboring pixels and interpage interference (IPI) by multiple images stored in the same holographic volume. Modulation codes can be used to remove these problems. We introduce a 2D 8/9 error-correcting modulation code. The proposed modulation code exploits the trellis-coded modulation scheme, and the code rate is larger (about 0.889) than that of the conventional 6/8 balanced modulation code (an increase of approximately 13.9%). The performance of the bit error rate (BER) with the proposed scheme was improved compared with that of the 6/8 balanced modulation code and the simple 8/9 code without the trellis scheme.

Error-Correcting 7/9 Modulation Codes For Holographic Data Storage

Holographic data storage (HDS) has a number of advantages, including a high transmission rate through the use of a charge coupled device array for reading two-dimensional (2D) pixel image data, and a high density capacity. HDS also has disadvantages, including 2d intersymbol interference by neighboring pixels and interpage interference by multiple pages stored in the same holographic volume. These problems can be eliminated by modulation codes. We propose a 7/9 error-correcting modulation code that exploits a Viterbi-trellis algorithm and has a code rate larger (about 0.778) than that of the conventional 6/8 balanced modulation code. We show improved performance of the bit error rate with the proposed scheme compared to that of the simple 7/9 code without the trellis scheme and the 6/8 balanced modulation code.

4-레벨 홀로그래픽 저장장치를 위한 2/3 변조부호와 비터비 검출기

홀로그래픽 데이터 저장장치에서는 인접 심볼간 간섭이 2차원으로 발생하며, 인접 페이지간 간섭 또한 발생한다. 특히 멀티 레벨 홀로그래픽 데이터 저장장치의 경우, 한 픽셀이 나타내는 정보가 0과 1의 이진수가 아닌 그 이상의 정보를 더 저장하고 있기 때문에, 위와 같은 간섭들이 더 크게 발생할 수 있다. 본 논문에서는 4-레벨 홀로그래픽 데이터 저장장치에서의 성능 저하를 보완하기 위하여 2/3 변조 부호를 제안한다. 제안된 2/3 변조 부호는 비터비 검출 방법을 변조 방식에 적용하여 에러 정정 능력을 갖는다. 또한, 본 논문에서는 2/3 변조 부호를 위한 새로운 비터비 디코더를 제안한다. 제안된 비터비 검출기는 복호 시에 필요없는 상태에 대한 계산을 제거하여 복호 성능을 높인다. 제안된 비터비 검출기는 2/3 변조 부호에 대하여 기존의 비터비 검출기보다 더 뛰어난 성능을 보인다. Holographic data storage system is affected by two dimensional intersymbol interference and inter-page interference. Especially, for multi-level holographic data storage system, since one pixel contains more than 1 bit, the system is more vulnerable to the error. In this paper, we propose a 2/3 modulation code for 4-level holographic data storage system. The proposed modulation code with error correcting capability could be compensated these interferences. Also, in this paper, we proposed a Viterbi decoder for 2/3 modulation code. The proposed Viterbi decoder eliminates unnecessary calculation. As a result, proposed 2/3 modulation code and Viterbi decoder has shown better performance than conventional one.

저밀도 ON 픽셀 2차원 6/8 변조부호

Since holographic data storages read and write information on a volume and the information is processed per page, it has the advantage of high recording density and data transfer rate. However, there are two major drawbacks like 2-dimensional intersymbol interference and interpage interference as the density between pixels increases. Furthermore, a bright page that contains many ON pixels influences the reliable detection of the neighboring pages, which causes the less number of pages stored in the storage volume. We propose a sparse-ON pixel two-dimensional modulation code with the code rate 6/8 for increasing the number of pages stored in the volume. The proposed code is compared to conventional 6/8 balanced code, and it shows similar or a little bit better performance than that of the balanced code. Therefore, the proposed code can increase the recording capacity without loss of the performance.

A Simple 2/3 Modulation Code for Multi-Level Holographic Data Storage

We propose a simple 2/3 modulation code for multi-level holographic data storage (HDS). HDS is a promising method for the optical data storage system. However, two-dimensional (2D) inter-symbol interference (ISI) and inter-page interference (IPI) are weaknesses of HDS systems. Moreover, if multi-level symbols are stored, such systems are more vulnerable to errors. A modulation code can be used to alleviate these problems. Therefore, we introduce a simple 2/3 modulation code for multi-level HDS systems, which is simple and mitigates 2D ISI patterns.

A 6/9 Four-Ary Modulation Code for Four-Level Holographic Data Storage

A holographic data storage (HDS) system can provide high storage capacity, faster transmission, and shorter access time. However, there are two major concerns with such systems: two-dimensional (2D) inter-symbol interference (ISI) and inter-page interference (IPI). The use of existing partial response maximum likelihood (PRML) detection can somewhat mitigate the problem of ISI. However, if the channel is subject to misalignment, the performance of PRML detection can be degraded. This problem can be remedied by a modulation code. Thus, this paper proposes a 6/9 modulation code, which mitigates ISI, and a modulation/demodulation scheme.

2차원 홀로그래픽 변조부호 설계를 위한 정수계획법 모형

In this paper, we introduce a modulation code design problem where best selection of two-dimensional codewords are determined to reduce two-dimensional (2D) intersymbol interference (ISI) and interpage interference (IPI). Codeword selection problem is formulated as a quadratic integer programming model that minimizes intra- and inter-symbol differences subject to uniform symbol usage and minimal Hamming distance violations. Second integer programming model detects the occurrence of isolated pixel pattern in the selected codewords. The proposed models are applied to 4-level and 2-level 6/8 codes.

고립 픽셀 제거 변조부호 선택을 위한 절단평면 알고리즘

In this paper, we introduce a modulation code design problem where best selection of two-dimensional codewords are determined to reduce two-dimensional (2D) Intersymbol Interference (ISI) and Interpage Interference (IPI), while when these codewords are randomly arranged on the storage, isolated pixel cannot be formed. Codeword selection problem and isolated pixel detection problem are formulated as integer program models and we develop a cutting plane algorithm where a valid cut is generated to remove current feasible solution to avoid isolated pixel by solving the isolated pixel detection subproblem. Using the proposed method, 6/8 codewords with non-isolated pixel are found.

A Simple Decoding Scheme for a Balanced 6/8 Modulation Code

Two-dimensional (2D) inter-symbol interference (ISI) and inter-page interference (IPI) are major concerns of holographic data storage (HDS). These problems can be mitigated by modulation code. A 6/8 balanced code is one of the modulation codes that has a 1:1 ratio of symbol “1” and symbol “0”. It avoids the IPI and has a low-pass filtering effect to reduce the ISI. However, the soft-decision decoding for a 6/8 balanced code needs many multiplications to calculate the Euclidean distances, making the circuit complicated. Hard-decision decoding is much simpler but does not perform as well as soft-decision decoding. Therefore, we propose a simple decoding scheme for a 6/8 balanced code which uses hard-decision decoding but performs almost as well as soft-decision decoding.

Rate 5/9 Two-Dimensional Pseudobalanced Code for Holographic Data Storage Systems

We propose a rate 5/9 pseudobalanced code of two-dimensional (2D) 3×3 arrays for holographic digital data storage (HDDS). The coded array has no isolated 2D intersymbol interference (ISI) patterns and each coded page has almost the same number of 0 and 1 pixels. Thus, we can simultaneously reduce ISI within a page and interpage interference (IPI) between pages.

Optimal Number of Control Bits in the Guided Scrambling Method for Holographic Data Storage

One of the major concerns regarding data detection in holographic data storage systems is overcoming interpage interference (IPI). In general, the IPI can be reduced by making the number of 1 (light) and 0 (dark) pixels the same in a recorded page and to have as many transitions as possible produced in each row and column. Such requirements can be satisfied by the guided scrambling (GS) method. In this paper, we investigate the optimum number of control bits to form a page.