where kappa has (carries) the units of X. Finally,
the channel rate R is defined as
R(⨀Xᵢ) = ΣH(Xᵢ) - H(X), (3)
I I
where X is the denumerable[18] cartesian product space
X = ⨂Xᵢ. (4)
I
[16] Feinstein uses his axioms only in finite space X; _i.e._, card(X)
< K₀.
[17] Feinstein, A., “Foundations of Information Theory,” New York, New
York: McGraw-Hill, 1958.
[18] If I is infinite, certain precautions have to be exercised.