TY - GEN
T1 - Information Bottleneck for an Oblivious Relay with Channel State Information
T2 - 2018 IEEE International Conference on the Science of Electrical Engineering in Israel, ICSEE 2018
AU - Caire, Giuseppe
AU - Shamai, Shlomo
AU - Tulino, Antonia
AU - Verdu, Sergio
AU - Yapar, Cagkan
N1 - Publisher Copyright: © 2018 IEEE.
PY - 2019/2/20
Y1 - 2019/2/20
N2 - We consider an extension of the information bottleneck problem where underlying Markov Chain is X-0-(Y,\ S)-0-Z, and where P-{X,S,Y}=P-{X}P-{S}P-{Y|X,S} is the joint distribution of a source X, a channel state S independent of the source, and the channel output Y of a state-dependent channel. For the case Y=SX+N with X, S and N Gaussian circularly symmetric, we provide an upper bound and two achievable lower bounds on the information bottleneck rate. We relate this problem to the case of an oblivious relay with channel state information. Our results show that simple symbol-by-symbol relay processing, possibly followed by 'entropy coding' (data compression) yields a very effective method, virtually achieving the upper bound on a wide range of relevant system parameters.
AB - We consider an extension of the information bottleneck problem where underlying Markov Chain is X-0-(Y,\ S)-0-Z, and where P-{X,S,Y}=P-{X}P-{S}P-{Y|X,S} is the joint distribution of a source X, a channel state S independent of the source, and the channel output Y of a state-dependent channel. For the case Y=SX+N with X, S and N Gaussian circularly symmetric, we provide an upper bound and two achievable lower bounds on the information bottleneck rate. We relate this problem to the case of an oblivious relay with channel state information. Our results show that simple symbol-by-symbol relay processing, possibly followed by 'entropy coding' (data compression) yields a very effective method, virtually achieving the upper bound on a wide range of relevant system parameters.
KW - Channel State Information
KW - Gaussian Information Bottleneck
UR - http://www.scopus.com/inward/record.url?scp=85063155839&partnerID=8YFLogxK
U2 - https://doi.org/10.1109/ICSEE.2018.8646015
DO - https://doi.org/10.1109/ICSEE.2018.8646015
M3 - منشور من مؤتمر
T3 - 2018 IEEE International Conference on the Science of Electrical Engineering in Israel, ICSEE 2018
BT - 2018 IEEE International Conference on the Science of Electrical Engineering in Israel, ICSEE 2018
Y2 - 12 December 2018 through 14 December 2018
ER -