Abstract

N(T) satisfies an obvious difference equation, and most studies of the capacity of such a channel start from this equation. It is of some interest to get rid of the assumption of commensurability of the times of transmission as well as of the finiteness of the set of elementary symbols. In the following we shall show how the classical results can be generalized to this case. Let Si, * * * , S. . * be a finite or countable set of elementary symbols and let tn > 0 be the time of transmission of Sn (n = 1, 2, * * * . It is no longer assumed that the tn are commensurable, but we make the assumption that in the countable case, limn-. tn = oo* Without loss of generality we may assume 0 < t1 < t2 < .

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