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To combine the high power efficiency of Continuous Phase Modulation (CPM)with either high spectral efficiency or enhanced performance in low Signal toNoise conditions, some authors have proposed to introduce CPM in a MIMO frame,by using Space Time Codes (STC). In this paper, we address the code designproblem of Space Time Block Codes combined with CPM and introduce a new designcriterion based on L2 orthogonality. This L2 orthogonality condition, with thehelp of simplifying assumption, leads, in the 2x2 case, to a new family ofcodes. These codes generalize the Wang and Xia code, which was based onpointwise orthogonality. Simulations indicate that the new codes achieve fulldiversity and a slightly better coding gain. Moreover, one of the codes can beinterpreted as two antennas fed by two conventional CPMs using the same databut with different alphabet sets. Inspection of these alphabet sets lead alsoto a simple explanation of the (small) spectrum broadening of Space Time CodedCPM.

L2 Orthogonal Space Time Code for Continuous Phase Modulation