| A. Vardy, M. Blaum, P. H. Siegel, and G. T. Sincerbox, "Conservative arrays: multidimensional modulation codes for holographic recording", IEEE Trans. Info. Theory, vol. IT-42, pp. 227--230, 1996. 28 |
....difficult than the one dimensional case. For practical applications, implementable and efficient coding schemes are needed, but only a few such algorithms exist for two and higher dimensional constraints. Some examples for conservative and weightconstrained arrays can be found in [15] 21] and [22]. An important special channel is when d = 1 and k = 1 (or equivalently when d = 0 and k = 1) and this paper will concentrate exclusively on the (1; 1) run length constraint. In one dimension, the (1; 1) constrained channel capacity is known exactly. In two dimensions, the channel capacity has ....
A. Vardy, M. Blaum, P. H. Siegel, and G. T. Sincerbox. Conservative arrays: Multidimensional modulation codes for holographic recording. IEEE Trans. Inform. Theory, 42(1):227--230, January 1996.
....data are recorded in a common volume of the storage medium. Certain pages with vexatious data patterns should be avoided as they could easily interact with other pages. In particular data with a periodic pattern give rise to distinct peaks of intensity in the Fourier transform plane. Vardy et al. [2] stipulate that the data patterns should haveasmany as transitions from light to dark and vice versa as possible in each column and row of a page. This may be achieved by requiring that in each row and column, there are as least t, t a positive prescribed integer, transitions of the type 1 0 ....
A. Vardy, M. Blaum, P.H. Siegel, and G.T. Sincerbox, "Conservative Arrays: Multi-Dimensional Modulation Codes for Holographic Recording", IEEE Trans. Inform. Theory, vol. IT-42, no. 1, pp. 227-230, Jan. 1996.
....were given in [21] Asymmetric two dimensional (d 1 ; k 1 ; d 2 ; k 2 ) constraints were studied in [4] which discussed mergings and the Hamming distances between (d 1 ; k 1 ; d 2 ; k 2 ) constrained rectangles. Codes for certain other types of constraints in two dimensions were studied in [3, 6, 10, 11, 13, 14, 17, 18, 19, 20, 21]. In the present paper we determine whether or not the two dimensional capacity is positive, for a large set of asymmetric constraints (d 1 ; k 1 ; d 2 ; k 2 ) The cases where we determine the asymmetric capacity to be zero (i.e. Theorem 1 part (i) and part (ii(B)a) add to the collection of ....
A. Vardy, M. Blaum, P. H. Siegel, and G. T. Sincerbox, "Conservative Arrays: Multidimensional Modulation Codes for Holographic Recording," IEEE Trans. Inform. Theory, vol. IT-42, pp. 227--230, January 1996.
....[80] and two photon based three dimensional (3 D) optical memories [95] have generated interest in pageoriented recording and readback. Models of these processes have generated proposals for two dimensional equalization and detection methods [82] 158] along with two dimensional codes [81] [195]. This has generated interest in two dimensional constrained systems and modulation codes. As an example, consider a twodimensional binary constrained array as an (row) by (column) binary array such that every has no less than s and no more than s above it, below it, to the right of it, and to ....
A. Vardy, M. Blaum, P. Siegel, and G. Sincerbox, "Conservative arrays: Multi-dimensional modulation codes for holographic recording," IEEE Trans. Inform. Theory, vol. 42, pp. 227--230, Jan. 1996.
No context found.
A. Vardy, M. Blaum, P. H. Siegel, and G. T. Sincerbox, "Conservative arrays: multidimensional modulation codes for holographic recording", IEEE Trans. Info. Theory, vol. IT-42, pp. 227--230, 1996. 28
No context found.
A. Vardy, M. Blaum, P. H. Siegel, and G. T. Sincerbox, "Con- servative arrays: multidimensional modulation codes for holographic recording," IEEE Trans. Inf. Theory 42, 227--230 #1996#.
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