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Multimode coding is a promising coding method owing to the simplicity of its code design and the attainment of high code rate. The authors present a multimode coding scheme for generating two-dimensional balanced t-conservative arrays for holographic storage. The multimode encoding process involves adding each unconstrained input array to a set of control arrays to form the selection set and selecting a pseudo-balanced t-conservative array from the selection set. By appropriately encoding the indices of the control arrays and using the remaining bits in the extra column or row appended to the selected pseudo-balanced t-conservative array to jointly balance the entire encoded array and to ensure that the extra column or row contains a sufficient number of transitions, the final output of the multimode encoder satisfies both the balanced and the t-conservative constraints. The decoding process is straightforward given the knowledge of the control array that was applied to the input array during the encoding process.
References
-
-
1)
-
A. Vardy ,
M. Blaum ,
P.H. Siegel ,
G.T. Sincerbox
.
Conservative arrays: multidimensional modulation codes for holographic recording.
IEEE Trans. Inf. Theory
,
1 ,
227 -
230
-
2)
-
A.P. Hughes ,
I.J. Fair
.
An integrated error control and DC-free code based on multimode coding.
IEEE Trans. Consum. Electron.
,
3 ,
893 -
899
-
3)
-
H.J. Coufal ,
D. Psaltis ,
G.T. Sincerbox
.
(2000)
Holographic data storage.
-
4)
-
Y. Xin ,
I.J. Fair
.
High-order spectral-null multimode codes.
IEEE Trans. Commun.
,
8 ,
1231 -
1237
-
5)
-
K.A.S. Immink ,
L. Patrovics
.
Performance assessment of dc-free multimode codes.
IEEE Trans. Commun.
,
3 ,
293 -
299
-
6)
-
J. Liu ,
C.C. Phua ,
T.C. Chong ,
Y. Wu ,
V. Boopathi
.
Effect of channel coding in digital holographic data storage.
Jpn. J. Appl. Phys.
,
4105 -
4109
-
7)
-
S.B. Wicker ,
V.K. Bhargava
.
(1994)
Reed–Solomon codes and their applications.
-
8)
-
Wilson, W.Y.H., Immink, K.A.S., Xi, X.B., Chong, C.T.: `Guided scrambling: a new coding technique for holographic storage', Proc. Optical Data Storage Conf., May 2000, Whistler, Canada, p. 110–112.
-
9)
-
F.J. MacWilliams ,
N.J.A. Sloane
.
(1977)
The theory of error-correcting codes.
-
10)
-
K.A.S. Immink
.
Weakly constrained codes.
Electron. Lett.
,
23 ,
1943 -
1944
-
11)
-
J. Ashley ,
M.-P. Bernal ,
G.W. Burr
.
Holographic data storage.
IBM J. Res. Dev.
,
3 ,
341 -
368
-
12)
-
J. Lee ,
J. Lee
.
A new coding technique for high rate dc-free multimode code design.
Jpn. J. Appl. Phys.
,
1760 -
1762
-
13)
-
F. Zhai ,
Y. Xin ,
I.J. Fair
.
DC-free error-control block codes.
IEEE Trans. Commun.
,
10 ,
1639 -
1647
-
14)
-
K.A.S. Immink
.
(1999)
Codes for mass data storage systems.
-
15)
-
I.J. Fair ,
W.D. Grover ,
W.A. Krzymien ,
R.I. MacDonald
.
Guided scrambling: a new line coding technique for high bit rate fiber optic transmission systems.
IEEE Trans. Commun.
,
2 ,
289 -
297
-
16)
-
Xin, Y., Fair, I.J.: `Peak-to-average power ratio reduction of an OFDM signal using guided scrambling coding', Proc. IEEE Globlecom'03, December 2003, San Francisco, USA, p. 2390–2394.
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