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Entropy bounds for constrained two-dimensional random fields

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2 Author(s)
Forchhammer, S. ; Dept. of Telecommun., Tech. Univ., Lyngby, Denmark ; Justesen, J.

The maximum entropy and thereby the capacity of two-dimensional (2-D) fields given by certain constraints on configurations is considered. Upper and lower bounds are derived. A new class of 2-D processes yielding good lower bounds is introduced. Asymptotically, the process achieves capacity for constraints with limited long-range effects. The processes are general and may also be applied to, e.g., data compression of digital images. Results are given for the binary hard square model, which is a 2-D run-length-limited model and some other 2-D models with simple constraints

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 1 )