Eigenvalue Based Optimum Power Allocation for Gaussian Vector Channels


A. Feiten, R. Mathar, S. Hanly,


        In this correspondence, we determine the optimal power allocation
to antennas in a Gaussian vector channel subject to l_p-norm
constrained eigenvalues. Optimal solutions are characterized by
using directional derivatives of the mutual information. As the
central result, the optimal power assignment is obtained as the
level crossing points of a set of simple monotone functions. The
well-known water-filling principle for sum power constraints is
retrieved as the limiting case p=1. A nested Newton type
algorithm is given for finding numerical solutions.

BibTEX Reference Entry 

	author = {Anke Feiten and Rudolf Mathar and Stephen Hanly},
	title = "Eigenvalue Based Optimum Power Allocation for {G}aussian Vector Channels",
	pages = "2304 - 2309",
	journal = "{IEEE} Transactions on Information Theory",
	volume = "53",
	number = "6",
	month = Jun,
	year = 2007,


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