"AWGN"-signal transmission in hyperbolic spaces

We introduce and discuss the concept of Gaussian probability density function (pdf) for the n-dimensional hyperbolic space which has been proposed as an environment for coding and decoding signals. An upper bound for the error probability of signal transmission associated with the hyperbolic distanc...

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Bibliographic Details
Main Authors: Agustini, E., Costa, S.I.R.
Format: Conference Proceeding
Language:English
Subjects:
AWGN
Codes
Decoding
Error probability
Euclidean distance
Labeling
Phase shift keying
Probability density function
Random variables
Upper bound
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Summary:We introduce and discuss the concept of Gaussian probability density function (pdf) for the n-dimensional hyperbolic space which has been proposed as an environment for coding and decoding signals. An upper bound for the error probability of signal transmission associated with the hyperbolic distance is established. The pdf and the upper bound were developed using Poincare models for the hyperbolic spaces
ISSN:2157-8095
2157-8117
DOI:10.1109/ISIT.2005.1523462