A Note on Functional Averages over Gaussian Ensembles
Joint Authors
Vega, Maria V.
Tucci, Gabriel H.
Source
Journal of Probability and Statistics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-11
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We find a new formula for matrix averages over the Gaussian ensemble.
Let H be an n×n Gaussian random matrix with complex, independent, and identically distributed entries of zero mean and unit variance.
Given an n×n positive definite matrix A and a continuous function f:ℝ+→ℝ such that ∫0∞e-αt|f(t)|2dt<∞ for every α>0, we find a new formula for the expectation ?[Tr(f(HAH*))].
Taking f(x)=log(1+x) gives another formula for the capacity of the MIMO communication channel, and taking f(x)=(1+x)-1 gives the MMSE achieved by a linear receiver.
American Psychological Association (APA)
Tucci, Gabriel H.& Vega, Maria V.. 2013. A Note on Functional Averages over Gaussian Ensembles. Journal of Probability and Statistics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-509974
Modern Language Association (MLA)
Tucci, Gabriel H.& Vega, Maria V.. A Note on Functional Averages over Gaussian Ensembles. Journal of Probability and Statistics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-509974
American Medical Association (AMA)
Tucci, Gabriel H.& Vega, Maria V.. A Note on Functional Averages over Gaussian Ensembles. Journal of Probability and Statistics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-509974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509974