Construction of Complementary Sequence Sets Based on Generating Function

In this paper, an approach is introduced to generate Hadamard matrix of order 2ⁿ and complementary sequence sets based on generating function. Hadamard matrix of order 2ⁿ plays an important role in many sequence constructions. Complementary sequence sets work in flock in multicarrier CDMA to eliminate multipath interference and multiple access interference because of their perfect auto-correlation and cross-correlation properties. Based on generating function, a group of desired sequences can be generated conveniently for multi-target applications such as multiuser and multi-antenna systems. Generating functions are expressed by binary vector, XOR and AND operations, which greatly facilitates the physical implementation of sequence generation.