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TRANSFORMATIONS FOR DIMENSION REDUCTION AND EXPANSION OF THE DISCRETE FOURIER TRANSFORM UNDER SCANNING

机译：扫描下离散傅里叶变换的尺寸减小和扩展的变换

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Direct relationships are developed between the discrete Fourier transform of a two-dimensional (rectangular) array and the discrete Fourier transform of the one-dimensional array formed by scanning the two-dimensional one. The forward and inverse relations both take the form of sums involving certain coefficients which are defined as a sum of complex exponential func¬tions. It is shown that these coefficients can be expressed by a relatively simple formula. The method can be readily generalized for the reduction of dimension of transforms of arrays of higher dimensionality.

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作者
Eugene A. Margerum;
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年度 1974
页码 1-18
总页数 18
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Discrete Fourier Transform - Dimension Reducing - Mapping;

机译：离散傅立叶变换 - 降维 - 映射;

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专利

1. FAST COMPUTATION OF THE MULTIDIMENSIONAL DISCRETE FOURIER TRANSFORM AND DISCRETE BACKWARD FOURIER TRANSFORM ON SPARSE GRIDS [J] . YING JIANG, YUESHENG XU Mathematics of computation . 2014,第289期

机译：稀疏网格上多维离散傅里叶变换和离散向后傅里叶变换的快速计算
2. Parallel Computation of Multidimensional Discrete Orthogonal Transforms Reducible to a Discrete Fourier Transform [J] . M. A. Chicheva Pattern recognition and image analysis: advances in mathematical theory and applications in the USSR . 2011,第3期

机译：可分解为离散傅立叶变换的多维离散正交变换的并行计算
3. Enlargement and reduction of image/video via discrete cosine transform pair, part 1: novel three-dimensional discrete cosine transform and enlargement [J] . Shu-Mei Guo, Chen-Bang Li, Chia-Wei Chen, Journal of electronic imaging . 2007,第4期

机译：通过离散余弦变换对放大和缩小图像/视频，第1部分：新颖的三维离散余弦变换和放大
4. Near-field to far-field transformation of cylindrical scanning antenna measurement using two dimension fast-fourier transform [C] . Catur Apriono, Nofrizal, Mochamad Dandy Firmansyah, 2017 15th International Conference on Quality in Research : International Symposium on Electrical and Computer Engineering . 2017

机译：使用二维快速傅立叶变换测量圆柱扫描天线的近场到远场变换
5. VLSI implementation of multidimensional discrete Fourier transform and discrete cosine transform. [D] . Yu, Sungwook. 2000

机译：VLSI实现了多维离散傅里叶变换和离散余弦变换。
6. A Parallel Framework with Block Matrices of a Discrete Fourier Transform for Vector-Valued Discrete-Time Signals [O] . Pablo Soto-Quiros 2015

机译：矢量值离散时间信号的具有离散傅立叶变换的块矩阵的并行框架
7. Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform [O] . 1999

机译：有限信号的分数傅里叶级数展开和离散时间分数傅里叶变换的双扩展
8. Coordinate Axes, Location of Origin, and Redundancy for the One and Two-Dimensional Discrete Fourier Transform [R] . Ioup, G. E., Ioup, J. W. 1985

机译：一维和二维离散傅里叶变换的坐标轴，原点位置和冗余

TRANSFORMATIONS FOR DIMENSION REDUCTION AND EXPANSION OF THE DISCRETE FOURIER TRANSFORM UNDER SCANNING

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