Macro-diversity ?? all base stations decode cooperatively each received signal ?? can mitigate shadow fading, and increase the capacity of a spread-spectrum communication network. Assuming that a terminal's transmission power contributes to its own interference, the literature determines whether a vector of quality-of-service targets is feasible through a simple formula, which is insensitive to the terminals' channel gains. Herein, through Banach' contraction-mapping principle ?? and without the self-interference approximation ?? a new low-complexity capacity formula is derived. Through its dependence on relative channel gains, the new formula adapts itself in a sensible manner to special conditions, such as when most terminals can only be heard by a subset of the receivers. Under such conditions, the original may significantly overestimate capacity.
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