A method of communicating digital signal information through diversity signaling with a constrained amount of transmission energy-per-bit available E.sub.tot. The method includes steps of: measuring channel noise N.sub.j and channel transmission loss g.sub.j on each of a first plurality of diversity channels; and transmitting the digital signal information from a first communications device on each of a second plurality J diversity channels, each with a channel energy allocation E.sub.j responsive to the measurements of channel noise N.sub.j and channel transmission loss g.sub.j; wherein j is an integer such that 1.ltoreq.j.ltoreq.J, and wherein the second plurality J diversity channels are selected from the first plurality of diversity channels, responsive to the measurements of channel noise N.sub.j and channel transmission loss g.sub.j, and wherein the second plurality J diversity channels are selected responsive to the function.gamma..gamma..gamma. ##EQU00001## wherein .gamma. is a non-negative number.