TY - GEN
T1 - An information theoretic perspective over an extremal entropy inequality
AU - Park, Sangwoo
AU - Serpedin, Erchin
AU - Qaraqe, Khalid
PY - 2012
Y1 - 2012
N2 - This paper focuses on developing an alternative proof for an extremal entropy inequality, originally presented in [1]. The proposed alternative proof is simply based on the classical entropy power inequality and the data processing inequality. Compared with the proofs in [1], the proposed alternative proof is simpler, more direct, and information theoretic, and presents the advantage of providing the structure of the optimal solution covariance matrix. Also, the proposed proof might also be used as a novel method to address applications such as calculation of the vector Gaussian broadcast channel capacity, establishing a lower bound for the achievable rate of distributed source coding with a single quadratic distortion constraint, and the secrecy capacity of the Gaussian wire-tap channel.
AB - This paper focuses on developing an alternative proof for an extremal entropy inequality, originally presented in [1]. The proposed alternative proof is simply based on the classical entropy power inequality and the data processing inequality. Compared with the proofs in [1], the proposed alternative proof is simpler, more direct, and information theoretic, and presents the advantage of providing the structure of the optimal solution covariance matrix. Also, the proposed proof might also be used as a novel method to address applications such as calculation of the vector Gaussian broadcast channel capacity, establishing a lower bound for the achievable rate of distributed source coding with a single quadratic distortion constraint, and the secrecy capacity of the Gaussian wire-tap channel.
UR - http://www.scopus.com/inward/record.url?scp=84867498387&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2012.6283060
DO - 10.1109/ISIT.2012.6283060
M3 - Conference contribution
AN - SCOPUS:84867498387
SN - 9781467325790
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1266
EP - 1270
BT - 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012
T2 - 2012 IEEE International Symposium on Information Theory, ISIT 2012
Y2 - 1 July 2012 through 6 July 2012
ER -