摘要
利用二维离散傅里叶变换(DFT)的一些性质,将Gunther提出的关于同时计算一个N点实序列的DFT和另一个N点实序列的DFT的逆离散傅里叶变换(IDFT)的4个新的直接公式中的第1和第4个公式,以及他提出的关于同时计算2个N点实序列的DFT的新公式推广到了二维的情形,并给出了相关证明。这些结果在处理实信号时是非常有用的。
Using some properties of two-dimensional discrete Fourier transform （DFT）, this paper deduces the first and the fourth formulas of the four new direct formulas proposed by Gunther to simultaneously calculate the DFT of a real N-point sequence and the inverse DFT（IDFT） of the DFT of another real N-point sequence to the case of two dimensions. Meanwhile, the paper deduces the new formulas proposed by Gunther to simultaneously calculate the DFT of two real N-point sequences to the case of two dimensions, too. These deduced formulas and some properties of two-dimensional DFT are proved. These results are very useful in real digital signal processing.
出处
《成都理工大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第6期691-696,共6页
Journal of Chengdu University of Technology: Science & Technology Edition
基金
数学地质四川省高校重点实验室资助
现代通信国家重点实验室基金资助项目(51436010505SC010)
四川省教育厅自然科学青年基金资助项目(2006B057)
关键词
二维实序列
离散傅里叶变换
逆离散傅里叶变换
real two-dimensional sequence
discrete Fourier transform
inverse discrete Fourier transform
