메뉴 건너뛰기




Volumn 53, Issue 5, 2007, Pages 1839-1851

An extremal inequality motivated by multiterminal information-theoretic problems

Author keywords

Differential entropy; Distributed source coding; Entropy power inequality (EPI); Fisher information; Vector Gaussian broadcast channel

Indexed keywords

ENCODING (SYMBOLS); FISHER INFORMATION MATRIX; RANDOM VARIABLES; SIGNAL DISTORTION; VECTORS;

EID: 34248373869     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2007.894680     Document Type: Article
Times cited : (175)

References (20)
  • 1
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • Oct
    • C. E. Shannon, "A mathematical theory of communication," Bell Syst. Tech. J., vol. 27, pp. 623-656, Oct. 1948.
    • (1948) Bell Syst. Tech. J , vol.27 , pp. 623-656
    • Shannon, C.E.1
  • 2
    • 12944295719 scopus 로고
    • Some inequalities satisfied by the quantities of information of Fisher and Shannon
    • June
    • A. J. Stam, "Some inequalities satisfied by the quantities of information of Fisher and Shannon," Inf. Contr.., vol. 2, no. 2, pp. 101-112, June 1959.
    • (1959) Inf. Contr , vol.2 , Issue.2 , pp. 101-112
    • Stam, A.J.1
  • 3
    • 84938171492 scopus 로고
    • The convolution inequality for entropy powers
    • Apr
    • N. M. Blachman, "The convolution inequality for entropy powers," IEEE Trans. Inf. Theory, vol. IT-11, no. 2, pp. 267-271, Apr. 1965.
    • (1965) IEEE Trans. Inf. Theory , vol.IT-11 , Issue.2 , pp. 267-271
    • Blachman, N.M.1
  • 4
    • 0016037985 scopus 로고
    • Asimple converse for broadcast channels with additive white Gaussian noise
    • Mar
    • P. P. Bergman, "Asimple converse for broadcast channels with additive white Gaussian noise," IEEE Trans. Inf. Theory, vol. IT-20, no. 2, pp. 279-280, Mar. 1974.
    • (1974) IEEE Trans. Inf. Theory , vol.IT-20 , Issue.2 , pp. 279-280
    • Bergman, P.P.1
  • 5
    • 0032074619 scopus 로고    scopus 로고
    • The rate-distortion function for the quadratic Gaussian CEO problem
    • May
    • Y. Oohama, "The rate-distortion function for the quadratic Gaussian CEO problem," IEEE Trans. Inf. Theory, vol. 44, no. 3, pp. 1057-1070, May 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.3 , pp. 1057-1070
    • Oohama, Y.1
  • 6
    • 0019178773 scopus 로고
    • On a source coding problem with two channels and three receivers
    • Dec
    • L. Ozarow, "On a source coding problem with two channels and three receivers," Bell Syst. Tech. J., vol. 59, no. 10, pp. 1909-1921, Dec. 1980.
    • (1980) Bell Syst. Tech. J , vol.59 , Issue.10 , pp. 1909-1921
    • Ozarow, L.1
  • 7
    • 33748578624 scopus 로고    scopus 로고
    • H. Weingarten, Y. Steinberg, and S. Shamai (Shitz), The capacity region of the Gaussian MIMO broadcast channel, IEEE Trans. Inf. Theory, 52, no. 9, pp. 3936-3964, Sep. 2006.
    • H. Weingarten, Y. Steinberg, and S. Shamai (Shitz), "The capacity region of the Gaussian MIMO broadcast channel," IEEE Trans. Inf. Theory, vol. 52, no. 9, pp. 3936-3964, Sep. 2006.
  • 8
    • 0017960331 scopus 로고
    • On the capacity of channels with additive non-Gaussian noise
    • Apr
    • S. Ihara, "On the capacity of channels with additive non-Gaussian noise," Inf. Contr., vol. 37, no. 1, pp. 34-39, Apr. 1978.
    • (1978) Inf. Contr , vol.37 , Issue.1 , pp. 34-39
    • Ihara, S.1
  • 9
    • 0035504557 scopus 로고    scopus 로고
    • The worst additive noise under a covariance constraint
    • Nov
    • S. N. Diggavi and T. M. Cover, "The worst additive noise under a covariance constraint," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 3072-3081, Nov. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.7 , pp. 3072-3081
    • Diggavi, S.N.1    Cover, T.M.2
  • 10
    • 84941428932 scopus 로고
    • Information theoretic inequalities
    • Nov
    • A. Dembo, T. M. Cover, and J. A. Thomas, "Information theoretic inequalities," IEEE Trans. Inf. Theory, vol. 37, no. 6, pp. 1501-1518, Nov. 1991.
    • (1991) IEEE Trans. Inf. Theory , vol.37 , Issue.6 , pp. 1501-1518
    • Dembo, A.1    Cover, T.M.2    Thomas, J.A.3
  • 11
    • 0032075574 scopus 로고    scopus 로고
    • A proof of the Fisher information inequality via a data processing argument
    • May
    • R. Zamir, "A proof of the Fisher information inequality via a data processing argument," IEEE Trans. Inf. Theory, vol. 44, no. 3, pp. 1246-1250, May 1998.
    • (1998) IEEE Trans. Inf. Theory , vol.44 , Issue.3 , pp. 1246-1250
    • Zamir, R.1
  • 12
    • 34248398019 scopus 로고    scopus 로고
    • D. Guo, S. Shamai (Shitz), and S. Verdú, Additive non-Gaussian noise channels: Mutual information and conditional mean estimation, in Proc. IEEE Int. Symp. Information Theory, Adelaide, Australia, Sep. 2005, pp. 719-723.
    • D. Guo, S. Shamai (Shitz), and S. Verdú, "Additive non-Gaussian noise channels: Mutual information and conditional mean estimation," in Proc. IEEE Int. Symp. Information Theory, Adelaide, Australia, Sep. 2005, pp. 719-723.
  • 13
    • 0028462625 scopus 로고
    • On the maximum entropy of the sum of two dependent random variables
    • Jul
    • T. M. Cover and Z. Zhang, "On the maximum entropy of the sum of two dependent random variables," IEEE Trans. Inf. Theory, vol. 40, no. 4, pp. 1244-1246, Jul. 1994.
    • (1994) IEEE Trans. Inf. Theory , vol.40 , Issue.4 , pp. 1244-1246
    • Cover, T.M.1    Zhang, Z.2
  • 14
    • 0018467629 scopus 로고
    • A coding theorem for the discrete memoryless broadcast channel
    • May
    • K. Marton, "A coding theorem for the discrete memoryless broadcast channel," IEEE Trans. Inf. Theory, vol. IT-25, no. 3, pp. 306-311, May 1979.
    • (1979) IEEE Trans. Inf. Theory , vol.IT-25 , Issue.3 , pp. 306-311
    • Marton, K.1
  • 16
    • 0038105207 scopus 로고    scopus 로고
    • G. Caire and S. Shamai (Shitz), On the achievable throughput of a multiple-antenna Gaussian broadcast channel, IEEE Trans. Inf. Theory, 49, no. 7, pp. 1691-1706, Jul. 2003.
    • G. Caire and S. Shamai (Shitz), "On the achievable throughput of a multiple-antenna Gaussian broadcast channel," IEEE Trans. Inf. Theory, vol. 49, no. 7, pp. 1691-1706, Jul. 2003.
  • 18
    • 0015648934 scopus 로고
    • Noiseless coding of correlated information sources
    • Jul
    • D. Slepian and J. K. Wolf, "Noiseless coding of correlated information sources," IEEE Trans. Inf. Theory, vol. IT-19, no. 4, pp. 471-480, Jul. 1973.
    • (1973) IEEE Trans. Inf. Theory , vol.IT-19 , Issue.4 , pp. 471-480
    • Slepian, D.1    Wolf, J.K.2
  • 19
    • 0016078890 scopus 로고
    • Capacity and coding for degraded broadcast channels
    • Jul.-Sep
    • R. Gallager, "Capacity and coding for degraded broadcast channels," Probl. Pered. Inform., vol. 10, no. 3, pp. 3-14, Jul.-Sep. 1974.
    • (1974) Probl. Pered. Inform , vol.10 , Issue.3 , pp. 3-14
    • Gallager, R.1
  • 20
    • 34248399181 scopus 로고    scopus 로고
    • H. Weingarten, T. Liu, S. Shamai (Shitz), Y. Steinberg, and P. Viswanath, The capacity region of the degraded multiple input multiple output broadcast channel, IEEE Trans. Inf. Theory, submitted for publication.
    • H. Weingarten, T. Liu, S. Shamai (Shitz), Y. Steinberg, and P. Viswanath, "The capacity region of the degraded multiple input multiple output broadcast channel," IEEE Trans. Inf. Theory, submitted for publication.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.