A Generalization of Binary Zero-Correlation Zone Sequence Sets Constructed from Hadamard Matrices

摘要

The present paper introduces a new construction of a class of binary sequence set having a zero-correlation zone (hereafter binary ZCZ sequence set). The cross-correlation function and the side-lobe- of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. This paper shows that such a construction generates a binary ZCZ sequence set from an arbitrary pair of Hadamard matrices of common size. Since the proposed sequence construction generates a sequence set from an arbitrary pair of Hadamard matrices, many more types of sequence sets can be generated by the proposed sequence construction than is possible by a sequence construction that generates sequence sets from a single arbitrary Hadamard matrix.