We construct a new class of unitary space-time constellations that is suitable for multi-antenna differential signaling. This class of constellations follows a certain structure that is inspired by the so-called biorthogonal spherical codes. As a consequence of this, we show that the proposed class achieves optimal diversity sum in some cases and close-to-optimal diversity sum in the remaining cases. Furthermore, we demonstrate how such constellations are tuned in order to improve the diversity product while maintaining the same diversity sum, thereby yielding constellations with favorable diversity sum and product. Numerical evaluations reveal that the proposed construction achieves close or better performance than the best-known constellations over a wide range of signal-to-noise ratios of typical operation, with the added advantage that it can be generated for any number of transmit antennas.

中文翻译：

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球面码的微分酉时空星座


我们构建了一类新的单一时空星座，适用于多天线差分信号传输。此类星座遵循某种受所谓的双正交球面码启发的结构。因此，我们表明所提出的类别在某些情况下实现了最佳多样性和，在其余情况下实现了接近最佳的多样性和。此外，我们还演示了如何调整此类星座，以便在保持相同的多样性和的同时提高多样性乘积，从而产生具有良好的多样性和和乘积的星座。数值评估表明，所提出的结构在典型操作的各种信噪比上实现了接近或优于最著名的星座的性能，并且具有可以为任意数量的发射天线生成的附加优点。