The present invention provides a system (400), device (200, 300), and method (200) for a spatial multiplexing (SMX) transmission scheme combined with symbol spreading and rotation using a pre-determined matrix R, which can greatly improve system performance without requiring additional bandwidth or power consumption under fast Rayleigh flat fading channels or high frequency-selective channels in UWB systems. Because of the lattice-based structure, sphere decoding is employed to reduce the complexity of ML decoding while maintaining the near ML performance. On the other hand, ZF and MMSE receivers can also be used due to the systematic structure at the transmitter.