Redundancy
From Encyclopedia of Mathematics
				
								
				
				
																
				
				
								
				A measure of the possible increase in the transmission rate of information by using a statistical dependence between the components of the information processed at the source of information. The redundancy of a stationary source of information in discrete time processing the information 
 generated by a stationary stochastic process
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where 
 takes values in some finite set 
 with 
 elements, is defined to be
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where 
 is the rate of generation of information by the given source 
 (see Information, rate of generation of) and 
 is the maximum possible speed of generation of information by a source in discrete time whose components take 
 different values.
For references, see ,
How to Cite This Entry:
Redundancy. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Redundancy&oldid=33950
Redundancy. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Redundancy&oldid=33950
This article was adapted from an original article by R.L. DobrushinV.V. Prelov (originator),  which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article

