Two-dimensional iterative decoding schemes for holographic data storage systems

Two iterative decoding (ID) schemes, which are the ID using a single parity bit (ID-SPB) and ID using a modulation code (ID-MC), are proposed for holographic data storage systems. In the ID-SPB, a single two-dimensional parity bit is employed to conduct ID, whereas in the ID-MC, the inherent constraint of the modulation code is utilized to conduct ID. In both schemes, a data page is iteratively decoded by exchanging extrinsic information between the horizontal and vertical data bits in the page. In particular, in the ID-SPB, by adding more parity bits to each row and column of the interleaved page, we can conduct the ID within a page as well as between the original and interleaved pages. Thus, additional performance gain can be achieved in the ID-SPB. On the other hand, the ID-MC has a performance gain without loss of data rate since parity bits are not required for ID. The simulation results show that the proposed ID-SPB and ID-MC have about 2-4 and 1-2 dB performance gains in terms of bit error rate compared with the system without ID, respectively.