Design of odd-periodic complementary sequence set

Two or more binary sequences are called as a set of odd-periodic complementary binary sequences (OPCS) if the sum of their respective odd-periodic autocorrelation function is a delta function. In this paper, the definition of OPCS is given and the construction and synthesizing methods of OPCS is discussed. OPCS can be derived from the odd-perfect almost binary sequence introduced by Luke. The relation of the sets of odd-periodic complementary binary sequences with the sets of aperiodic and periodic complementary binary sequences is pointed out. The sets of aperiodic complementary binary sequences are also the sets of odd-periodic complementary binary sequences. The odd length OPCS and PCS can be transformed into each other.