Title :
Probability density function of the line-of-sight angle error
Author :
Beth, Th. ; Grasal, M. ; Lazic, D.E. ; Lukhaub, H.
Author_Institution :
Fak. fur Inf., Karlsruhe Univ., Germany
fDate :
29 Jun-4 Jul 1997
Abstract :
The closed form probability density function (PDF) of the angle between the input and output of the time discrete AWGN channel is derived. Two N-dimensional Cartesian systems are considered. The PDF can be used for calculation of the corresponding cumulative distribution function (CDF) which determines the best known general lower and upper bounds on the decoding error probability of optimal block codes on the AWGN channel. For odd values of N⩾3 this reduces to a closed form too
Keywords :
Gaussian channels; block codes; coding errors; decoding; error statistics; probability; Cartesian systems; closed form PDF; cumulative distribution function; decoding error probability; line-of-sight angle error; lower bound; optimal block codes; probability density function; time discrete AWGN channel; upper bound; AWGN channels; Additive white noise; Decoding; Difference equations; Distribution functions; Error probability; Integral equations; Nonlinear equations; Probability density function; Signal to noise ratio;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.613232
