Nowadays, there is a need for wireless communications to operate over a variety of scenarios, including high mobility multiple-input multiple-output (MIMO) applications, that bring along a challenging problem. In channels where Doppler spread and delay spread are high, complexity of coherent detectors and pilot overhead are both raised. This work proposes a non-coherent reception technique, easily scalable to any number of antennas for the MIMO case, using simple coding and decoding structures which take advantage of channel diversity addition in three domains: time, frequency and space, by using virtual trajectories along with space time block-coding. Coarse analytics on the system performance in terms of the bit error rate are computed using Chernoff Boundaries as a function of the channel diversity and the order of the differential modulation, validating the efficiency of the proposed receiver.INDEX TERMS Differential modulation, doubly selective channels, invariance, MIMO, non-coherent receivers, space-time coding.
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