Three-Dimensional Error Correction Schemes for Holographic Data Storage

Abstract

Three-dimensional (3D) error correction coding (ECC) provides volumetrically coupled ECC blocks, the possible errors of which can be controlled powerfully by correcting errors from three different directions, iteratively. However, increased parities cause a large overhead, which limits the application of strong ECC schemes. In this study, a new efficient 3D ECC scheme and its decoding algorithm for holographic data storage were developed and evaluated. The proposed scheme has 3D ECC capability with a relatively low coding overhead, similarly to that of conventional 2D error correcting schemes, such as RSPC. It gives favorable ECC performance with a high efficiency in a page-based recording and retrieving system, which enables the use of a 3D ECC scheme for various applications.