سعة القناة: الفرق بين النسختين

:<math>C(p_{1}\times p_{2}) \geq I(X_1, X_2 : Y_1, Y_2) = I(X_1:Y_1) + I(X_2:Y_2) = C(p_1) + C(p_2)</math>

ie. <math>C(p_{1}\times p_{2}) \geq C(p_1) + C(p_2)</math>

 

Now let us show that <math> C(p_{1}\times p_{2}) \leq C(p_{1}) + C(p_{2}) </math>.

This relation is preserved at the supremum. Therefore

:<math>C(p_{1}\times p_{2}) \leq C(p_1)+C(p_2)</math>

 

Combining the two inequalities we proved, we obtain the result of the theorem:

== المراجع ==

{{مراجع}}

 

[[تصنيف:مصطلحات تلفاز]]