Abstract

Like the conventional digital storage systems, volume holographic memory can be deteriorated by burst errors due to its high-density storage characteristics. These burst errors are used byoptical defects such as scratches, dust particles, etc. and are two-dimensional in a data page. To deal with these errors, we introduce some concepts for describing them and propose efficient two- dimensional interleaving schemes. The schemes are two-dimensional lattices of an error-correction code word and have equilateral triangular and square structures. Using these structures, we can minimize the number of code words that are interleaved and improve the efficiency of the system. For large size burst errors, the efficient interleaving structure is an equilateral triangular lattice. However, for some small size burst errors, it is reduced to a square lattice.

© 2002 Optical Society of Korea

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2001

S. Jeon, S. Han, B. Yang, K. M. Byun, and B. Lee, Jap. J. Appl. Phys. 40, 1741 (2001).
[CrossRef]

1998

M. Blaum, J. Bruck, and A. Vardy, IEEE Trans. Inform. Theory 44, 730 (1998).
[CrossRef]

W. C. Chou and M. A. Neifeld, Appl. Opt. 37, 6951 (1998).
[CrossRef]

1997

G. W. Burr, J. Ashley, H. Coufal, R. K. Grygier, J. A. Hoffnagle, C. M. Jefferson, and B. Marcus, Opt. Lett. 22, 639 (1997).
[CrossRef]

1996

C. de Almeida and R. Palazzo Jr., Electron. Lett. 32, 538 (1996).
[CrossRef]

1995

M. A. Neifeld and J. D. Hayes, Appl. Opt. 34, 8183 (1995).
[CrossRef]

H. -Y. S. Li and D. Psaltis, J. Opt. Soc. Amer. A. 12, 1902 (1995)
[CrossRef]

1994

H. -Y. S. Li and D. Psaltis, Appl. Opt. 33, 3764 (1994).
[CrossRef]

X. Yi, P. Yeh, and C. Gu, Opt. Lett. 19, 1580 (1994).
[CrossRef]

1981

G. C. Clark and J. B. Cain, Error-Correction Coding for Digital Communications, (New York:Plenum Press, 1981).

1976

N. W. Ashcroft and N. D. Mermin, Solid State Physics, (Saunders College Publishing, 1976).

Applied Optics

M. A. Neifeld and J. D. Hayes, Appl. Opt. 34, 8183 (1995).
[CrossRef]

H. -Y. S. Li and D. Psaltis, Appl. Opt. 33, 3764 (1994).
[CrossRef]

W. C. Chou and M. A. Neifeld, Appl. Opt. 37, 6951 (1998).
[CrossRef]

Electron. Lett.

C. de Almeida and R. Palazzo Jr., Electron. Lett. 32, 538 (1996).
[CrossRef]

Information Theory, IEEE Transactions on

M. Blaum, J. Bruck, and A. Vardy, IEEE Trans. Inform. Theory 44, 730 (1998).
[CrossRef]

Jap. J. Appl. Phys.

S. Jeon, S. Han, B. Yang, K. M. Byun, and B. Lee, Jap. J. Appl. Phys. 40, 1741 (2001).
[CrossRef]

JOSA A

H. -Y. S. Li and D. Psaltis, J. Opt. Soc. Amer. A. 12, 1902 (1995)
[CrossRef]

Optics Letters

X. Yi, P. Yeh, and C. Gu, Opt. Lett. 19, 1580 (1994).
[CrossRef]

G. W. Burr, J. Ashley, H. Coufal, R. K. Grygier, J. A. Hoffnagle, C. M. Jefferson, and B. Marcus, Opt. Lett. 22, 639 (1997).
[CrossRef]

Other

N. W. Ashcroft and N. D. Mermin, Solid State Physics, (Saunders College Publishing, 1976).

G. C. Clark and J. B. Cain, Error-Correction Coding for Digital Communications, (New York:Plenum Press, 1981).

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