Title :
The Average Value for the Probability of an Undetected Error
Author :
Perry, Patrick N. ; Fossorier, Marc P C
Author_Institution :
Hawaii Pacific Univ., Honolulu
fDate :
5/1/2008 12:00:00 AM
Abstract :
A new identity for the weight enumerator of a code is derived. The new identity is shown to be related to the average value of the probability of an undetected error when is a continuous random variable.
Keywords :
error detection codes; error statistics; average value; code weight enumerator; continuous random variable; undetected error probability; Codes; Communication system control; Decoding; Fading; Information theory; Lattices; Mobile communication; Modulation coding; Notice of Violation; Rayleigh channels; Linear codes; probability of an undetected error; weight enumerators;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.920241