  Many satellite communication systems operating today employ low cost
upconverters or downconverters which create phase noise. This noise can
severely limit the information rate of the system and pose a serious challenge
for the detection systems. Moreover, simple solutions for phase noise tracking
such as PLL either require low phase noise or otherwise require many pilot
symbols which reduce the effective data rate. In order to increase the
effective information rate, we propose a signal constellation which does not
require pilots, at all, in order to converge in the decoding process. In this
contribution, we will present a signal constellation which does not require
pilot sequences, but we require a signal that does not present rotational
symmetry. For example a simple MPSK cannot be used.Moreover, we will provide a
method to analyze the proposed constellations and provide a figure of merit for
their performance when iterative decoding algorithms are used.
