Generalized super-unified constructions for space-time codes

A generalized ℘-radii construction for space-time codes achieving the optimal rate-diversity tradeoff is presented in this paper. The new construction is obtained by extending Mammons' dyadic dual-radii construction to the cases when the size of the constellation A is a power of a prime ℘, ℘ ≥ 2. The resulting space-time code is optimal in terms of achieving the rate-diversity tradeoff and has an AM-PSK constellation with signal alphabets distributed over ℘-concentric circles in the complex plane, i.e., there are ℘ radii. Finally, we present the generalized super-unified construction by generalizing the super-unified construction by Hammons in [1]. The generalized results are readily to be extended to cater to the constructions of both optimal space-time block and trellis codes and even to the constructions of optimal codes over multiple-fading blocks.