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Efficient coding schemes for the hard-square model

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3 Author(s)
Roth, R.M. ; Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel ; Siegel, P.H. ; Wolf, J.K.

The hard-square model, also known as the two-dimensional (2-D) (1, ∞)-RLL constraint, consists of all binary arrays in which the 1's are isolated both horizontally and vertically. Based on a certain probability measure defined on those arrays, an efficient variable-to-fixed encoder scheme is presented that maps unconstrained binary words into arrays that satisfy the hard-square model. For sufficiently large arrays, the average rate of the encoder approaches a value which is only 0.1% below the capacity of the constraint. A second, fixed-rate encoder is presented whose rate for large arrays is within 1.2% of the capacity value

Published in:

Information Theory, IEEE Transactions on  (Volume:47 ,  Issue: 3 )

Date of Publication:

Mar 2001

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