標題: Expectations of a Noncentral Chi-Square Distribution With Application to IID MIMO Gaussian Fading
作者: Moser, Stefan M.
電信工程研究所
Institute of Communications Engineering
公開日期: 2008
摘要: In this paper closed-form expressions are derived for the expectation of the logarithm and for the expectation of the n-th power of the reciprocal value (inverse moments) of a noncentral chi-square random variable of even degree of freedom. It is shown that these expectations can be expressed by a family of continuous functions g(m) (.) and that these families have nice properties (monotonicity, convexity, etc.). Moreover, some tight upper and lower bounds axe derived that are helpful in situations where the closed-form expression of g(m) (.) is too complex for further analysis. As an example of the applicability of these results, in the second part of this paper an independent and identically distributed (IID) Gaussian multiple-input-multiple-output (MIMO) fading channel with a scalar line-of-sight component is analyzed. Some new expressions axe derived for the fading number that describes the asymptotic channel capacity at high signal-to-noise ratios (SNR).
URI: http://hdl.handle.net/11536/3274
ISBN: 978-1-4244-2068-1
期刊: 2008 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS, VOLS 1-3
起始頁: 495
結束頁: 500
顯示於類別:會議論文