Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 188-196
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P. K. Katyshev. Transmission of a Gaussian vector through a channel with noiseless feedback. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 188-196. http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a21/
@article{TVP_1975_20_1_a21,
author = {P. K. Katyshev},
title = {Transmission of {a~Gaussian} vector through a~channel with noiseless feedback},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {188--196},
year = {1975},
volume = {20},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a21/}
}
TY - JOUR
AU - P. K. Katyshev
TI - Transmission of a Gaussian vector through a channel with noiseless feedback
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1975
SP - 188
EP - 196
VL - 20
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a21/
LA - ru
ID - TVP_1975_20_1_a21
ER -
%0 Journal Article
%A P. K. Katyshev
%T Transmission of a Gaussian vector through a channel with noiseless feedback
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1975
%P 188-196
%V 20
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a21/
%G ru
%F TVP_1975_20_1_a21
A white-noise Gaussian channel with noiseless feedback and mean-power constraint is considered, the message to be transmitted being a Gaussian vector. The minimal square error is expressed in terms of the covariance matrix of this vector, and an $\varepsilon$-optimal coding of the message is constructed.
