A New Full Rate Full Diversity ST Code with Nonvanishing Determinant for TH-UWB Systems

Abstract

In this paper, we propose a new space time (ST) coding scheme for time hopping (TH) ultra wideband (UWB) systems. The proposed scheme encodes the pulses used to transmit one information symbol. This permits to achieve full rate and full diversity with a non-vanishing coding gain for all number of transmit antennas. The proposed code shows to be the optimal extension of the codes constructed from cyclic division algebras when inter-pulse coding is performed