The Structure Of The Zero Correlation Zone Period Complementary Sequence Sets

In order to solve the approximate synchronous code division multiple access（AS-CDMA） system in the multipath, multiple access interference problems, the researchers put forward the concept of zero correlation zone complementary sequence set. Zero-correlation zone complementary sequences sets have larger sets size compared with the conventional complementary sequences sets and can support more users in communication systems. Based on perfect sequences and row-orthogonal matrices, we construct two zero-correlation zone complementary sequences sets with large cardinality.We used mixed technology to construct them, First of all, we use the perfect sequence in the autocorrelation function, its autocorrelation values are perfect. Then we define the unit modular row orthogonal matrix.Based on the perfect sequence and unit modular row orthogonal matrix, we construct two kinds of complementary sequence set with larger zero correlation zone.（1）The first one is an optimal zero-correlation zone complementary sequences sets （M,N）ZPCS_M2^NM₁ and constructed by using the properties of perfect sequences and row-orthogonal matrices.（2）The second one is an almost optimal zero-correlation zone complementary sequences sets （M,N）ZPCS_M2^NM₁ and constructed by using the same method.Where M is the order number for orthogonal matrix, N is the perfect sequence length. 1M and2 M are factors of M and meet certain conditions,1N for the factor of N and meet certain conditions.