Ajem. Jansen et Kas. Immink, An entropy theorem for computing the capacity of weakly (d, k)-constrainedsequences, IEEE INFO T, 46(3), 2000, pp. 1034-1038
In this correspondence we find an analytic expression For the maximum of th
e normalized entropy - Sigma(i is an element of T) p(i) ln p(i)/Sigma(i is
an element of T) ip(i) where the set T is the disjoint union of sets S-n of
positive integers that are assigned probabilities P-n, Sigma(n) P-n = 1. T
his result is applied to the computation of the capacity of weakly (d, k)-c
onstrained sequences that are allowed to violate the (d, k)-constraint with
small probability.