Title :
Capacity of weakly (d,k)-constrained sequences
Author :
Immink, Kees A Schouhamer ; Janssen, Augustus J E M
Author_Institution :
Inst. for Exp. Math., Essen, Germany
Abstract :
We find an analytic expression for the maximum of the normalized entropy -Σi∈Tpi ln pi/Σi∈Tipi where the set T is the disjoint union of sets Sn of positive integers that are assigned probabilities Pn, ΣnPn =1. This result is applied to the computation of the capacity of weakly (d,k)-constrained sequences that are allowed to violate the (d,k)-constraint with small probability
Keywords :
channel capacity; constraint theory; entropy; information theory; probability; sequences; set theory; analytic expression; capacity computation; disjoint union of sets; normalized entropy; positive integers; probability; weakly (d,k)-constrained sequences; Capacity planning; Channel capacity; Constraint theory; Entropy; Equations; Feeds; Laboratories; Mathematics; Notice of Violation; Tin;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866436
