Gaussian multiple-access channels with weighted energy constraint

The Gaussian multiple-access channel with weighted energy constraint (E) over tilde(sum) = Sigma(k)E(k)/\d(k)\(2) models the situation in cellular multiuser communication more accurately than the standard approach with d(k) = 1, For All X. The minimum weighted sum energy (E) over tilde(sum) is shown to be only achievable at a unique energy tupel (E-1,...,E-K), if all weights differ in amplitude. Moreover, the theory is generalized to a multiple receiver system describing cellular communication systems with optimum multiple cell-site processing. While for single-receiver systems the optimum energy tupel is a vertex of the allowed energy region, i.e. successive cancellation is possible, for a multi-receiver system this does not hold in general.