Fading-Resilient Super-Orthogonal Space-Time Signal Sets: Can Good Constellations Survive in Fading?

In this correspondence, first-tier indirect (direct) discernible constellation expansions are defined for generalized orthogonal designs. The expanded signal constellation, leading to so-called super-orthogonal codes, allows the achievement of coding gains in addition to diversity gains enabled by orthogonal designs. Conditions that allow the shape of an expanded multidimensional constellation to be preserved at the channel output, on an instantaneous basis, are derived; this property, referred to as fading resilience, is first discussed in the context of quasi-static fading, then generalized to coordinate interleaved transmissions for rapid fading. In both cases - and despite of piecing together (in the latter case) a constellation point as a result of coordinate deinterleaving - the channel alters neither the relative distances nor the angles between signal points in a fading-resilient signal constellation. It is shown that nonorthogonal MIMO constellations having a geometric structure that is resilient to fading do exist, and their further study is warranted.