Construction of quadri-phase complete complementary pairs applied in MIMO radar systems

Multiple input multiple output (MIMO) radar systems employ the orthogonal signals to improve the system performance. Some results show that there are no complete orthogonal signals in the single code field, even refer to the binary, polyphase and the plural sequences, the maximum of both the auto-correlation function (ACF) and the cross-correlation function (CCF) can not equal to zero at the all delays. The paper utilizes the recursive algorithm to construct a class complete complementary pairs (CC-pairs) based on complementary pair in the dual codes field. The conclusion implies that the CC-pairs satisfy the complete orthogonality required for MIMO radar systems and open a new direction in orthogonal signal design.