MDS Product Code Performance Estimations Under Header CRC Check Failures and Missing Syncs

• Published in: IEEE transactions on device and materials reliability Vol. 14; no. 3; pp. 921 - 930
• Main Authors: Arslan, Suayb S., Jaewook Lee, Hodges, Jerry, Peng, James, Hoa Le, Goker, Turguy
• Format: Magazine Article
• Language: English
• Published: New York IEEE 01.09.2014; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Channels; Data storage; Disk drives; Encoding; Error correction codes; Errors; Failure; Headers; Magnetic tape; Maximum likelihood decoding; Optical discs; Product codes; Product introduction; Reliability; Synchronism; Synchronization; Tape drives; Error-correcting codes; linear tape open (LTO); optical and magnetic recording; product codes; reliability
• ISSN: 1530-4388; 1558-2574
• DOI: 10.1109/TDMR.2014.2345585

Data storage systems that use removable media heavily rely on strong concatenated error correction coding (ECC) architectures in order to guarantee very low target data loss rates. Particularly, tape drives and optical disk drives (e.g., CD, DVD, and BD) employ powerful ECC schemes based on a concatenation of an outer maximum distance separable (MDS) code called C 2 and an inner MDS code called C 1 in order to achieve this performance. In addition to data, these storage systems employ header and synchronization appends (i.e., sync patterns) for appropriate allocation of user information on the physical storage medium. Since headers and sync patterns are subject to channel errors as well, accurately retrieved data may be regarded useless if an error occurs in either of these fields. In order to predict very low target C 2 failure rates (which is typically on the order of 10 -17 ) in the presence of header and synchronization errors, we propose a semianalytical method in this paper that incorporates the effects of the header and synchronization errors in the output error rate expressions. We use our proposed model with linear tape open (LTO) data examples to both show the effectiveness of the estimation results and draw some interesting conclusions.