Channel Capacity

Information Theory , developed by Claude E. Shannon in 1948, defines the notion of channel capacity and provides a mathematical model by which one can compute the maximal amount of information that can be carried by a channel. The key result states that the capacity of the channel, as defined above, is given by the maximum of the Mutual Information between the input and output of the channel, where the maximization is with respect to the input distribution. Mathematical Definition o -o
	Here X Represents The Space Of Messages Transmitted, And Y The Space Of Messages Received During A Unit Time Over Our Channel Let <math>p(xy)</math> Be The Conditional Probability Distribution Function Of X Given Y We Will Consider <math>p(xy)</math> To Be An Inherent Fixed Property Of Our Communications Channel (representing The Nature Of The Noise Of Our Channel) Then The Joint Distribution Of X And Y Is Completely Determined By Our Channel And By Our Choice Of <math>f(x)</math>, The Marginal Distribution Of Messages We Choose To Send Over The Channel Under These Constraints, We Would Like To Maximize The Amount Of Information, Or The Signal, We Can Communicate Over The Channel The Appropriate Measure For This Is The Transinformation Or	"http://wwwinformationdelightinfo/encyclopedia/entry/mutual_information" class="copylinks">Mutual Information , and this maximum transinformation is called the channel capacity and is given by:

	CATEGORIES ABOUT CHANNEL CAPACITY

	information theory

	telecommunication theory

Information About