A constructive representation for the Fourier dual of, the Zadoff-Chu sequences

作者：Li, Chih Peng^*; Huang, Wei Chieh

来源：IEEE Transactions on Information Theory, 2007, 53(11): 4221-4224.

DOI：10.1109/TIT.2007.907336

• discrete Fourier transform (DFT)
• Fourier dual
• perfect sequence
• Zadoff-Chu sequence

In this paper, a complex matrix C consisting of a set of perfect sequences is studied. The matrix C is constructed by taking the inverse discrete Fourier transform (DFT) of a diagonal matrix, in which the diagonal elements comprise an arbitrary periodically perfect sequence gamma. Properties of the matrix C are presented. In addition, the Fourier dual E of the matrix C is investigated. When gamma is a Zadoff-Chu sequence for the case of N even, M = 1, and g = 0, an explicit representation for the matrix E is derived.

• 出版日期2007-11
• 单位中山大学