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フルテキストURL 2007010017.pdf ( 253.6KB ) 公開日 2010-04-16 The convex-concave characteristics of Gaussian channel capacity functions Chen, Han Wu Yanagi, Kenjiro ヤナギ, ケンジロウ 柳, 研二郎 山口大学大学院理工学研究科（工学） In this correspondence, we give several inherent properties of the capacity function of a Gaussian channel with and without feedback by using some operator inequalities and matrix analysis. We give a new proof method which is different from the method appearing in: K. Yanagi and H. W. Chen, ”Operator inequality and its application to information theory,” Taiwanese J. Math., vol. 4, no. 3, pp. 407-416, Sep. 2000. We obtain the following results: C/sub n,Z/(P) and C/sub n,FB,Z/(P) are both concave functions of In this correspondence, we give several inherent properties of the capacity function of a Gaussian channel with and without feedback by using some operator inequalities and matrix analysis. We give a new proof method which is different from the method appearing in: K. Yanagi and H. W. Chen, ”Operator inequality and its application to information theory,” Taiwanese J. Math., vol. 4, no. 3, pp. 407-416, Sep. 2000. We obtain the following results: C/sub n,Z/(P) and C/sub n,FB,Z/(P) are both concave functions of P, C/sub n,Z/(P) is a convex function of the noise covariance matrix and C/sub n,FB,Z/(P) is a convex-like function of the noise covariance matrix. This new proof method is very elementary and the results shall help study the capacity of Gaussian channel. Finally, we state a conjecture concerning the convexity of C/sub n,FB,/spl middot//(P). eng Capacity Feedback Gaussian channel Shannon theory text application/pdf Institute of Electrical and Electronics Engineers 学術雑誌論文 査読あり 0018-9448 AA00667911 IEEE Transactions on Information Theory 52 5 2167 2172 2006-05 info:doi/10.1109/TIT.2006.872851 http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18 Copyright c2006 IEEE. Reprinted from IEEE Transactions on Information Theory, vol 52, no 5, 2006, p. 2167-2172. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Yamaguchi University Library's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. 出版社版 2007010017 山口大学 http://www.lib.yamaguchi-u.ac.jp/yunoca/handle/2007010017