Transmitting information between stations in a network includes: modulating first main information and auxiliary information onto a first portion of a signal according to a predetermined constellation having multiple regions and the same sub-constellation within each region having multiple points, with the first main information being modulated using a first selected region of the constellation, and the auxiliary information being modulated using a first selected point of the sub-constellation within the first selected region; modulating second main information and a copy of the auxiliary information onto a second portion of the signal according to the constellation, with the second main information being modulated using a second selected region of the constellation, and the copy of the auxiliary information being modulated using a second selected point of the sub-constellation within the second selected region, where the second selected point occurs at a different portion of the sub-constellation than the first selected point; and transmitting the signal from a first station in the network to a second station in the network.