The Geometry of the Capacity Region for CDMA Systems with General Power Constraints


L. Imhof, R. Mathar,


        Access control strategies and rational pricing in code division multiple access (CDMA) systems need exact knowledge of the available transmission capacity and its limiting boundaries. We use the term capacity region to specify the set of user transmission demands that can be supported at the desired quality-of-service. In this paper, we investigate the geometrical properties of the capacity region for a fixed number of users in a CDMA radio network under general quality-of-service characteristics and general power constraints. It turns out that under very mild assumptions the capacity region is convex and has an appealing monotonicity property. As a side result, we develop an elementary theory for characterizing the existence of solutions to systems of linear equations with nonnegative elements, analogous to Perron-Frobenius' theory, but bypassing irreducibility.

BibTEX Reference Entry 

	author = {Lorenz Imhof and Rudolf Mathar},
	title = "The Geometry of the Capacity Region for {CDMA} Systems with General Power Constraints",
	pages = "2040-2044",
	journal = "{IEEE} Transactions on Wireless Communications",
	volume = "4",
	number = "5",
	month = Sep,
	year = 2005,


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