Accession Number ADA585371
Title Capacity Approximations for a Deterministic MIMO Channel.
Publication Date 2011
Media Count 11p
Personal Author I. S. Moskowitz M. H. Kang P. Cotae P. N. Safier
Abstract In this paper, we derive closed form approximations for the capacity of a point-to-point, deterministic Gaussian MIMO communication channel. We focus on the behavior of the inverse eigenvalues of the Gram matrix associated with the gain matrix of the MIMO channel, by considering small variance and large power assumptions. We revisit the concept of deterministic MIMO capacity by pointing out that, under transmitter power constraint, the optimal transmit covariance matrix is not necessarily diagonal. We discuss the water filling algorithm for obtaining the optimal eigenvalues of the transmitter covariance matrix, and the water fill level in conjunction with the Karush-Kuhn-Tucker optimality conditions. We revise the Telatar conjecture for the capacity of a non-ergodic channel. We also provide deterministic examples and numerical simulations of the capacity, which are discussed in terms of our mathematical framework.
Keywords Approximation(Mathematics)
Capacity(Quantity)
Channel capacity
Channels
Communication and radio systems
Covariance
Determinants(Mathematics)
Eigenvalues
Inversion
Level(Quantity)
Mathematics
Matrices(Mathematics)
Numerical analysis
Optimization
Reprints
Telatar conjecture
Transmitter optimization
Water
Water filling


 
Source Agency Non Paid ADAS
NTIS Subject Category 72B - Algebra, Analysis, Geometry, & Mathematical Logic
Corporate Author District of Columbia Univ., Washington.
Document Type Journal article
Title Note Journal article.
NTIS Issue Number 1403
Contract Number W911NF-11-1-0144

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