Three-dimensional fourier transform processing method for...

Details Three-dimensional fourier transform processing method for... Three-dimensional fourier transform processing method for...

2006-06-14

2008-12-16

Bui, Bryan (Department: 2863)

Data processing: measuring, calibrating, or testing

Measurement system in a specific environment

Electrical signal parameter measurement system

Reexamination Certificate

active

07467053

ABSTRACT:
When a three-dimensional Fourier transform is performed on the data x (i, j, k), the Fourier transform is performed on each two-dimensional plane formed by a first dimension and a second dimension (two-dimensional array defined by i and j). Since data is stored in a continuous area in the direction in which index i expressing the first dimension continues, the transform of the first dimension is performed such that i can be continuous. When the Fourier transform of the second dimension expressed by j is performed, data is accessed such that i can continuously changes not by continuously changing j. The Fourier transform of the third dimension is performed with i continuously changed on each plane defined by i and k. Reversed bits are obtained by simultaneously exchanging the first dimensions and the second dimensions.

REFERENCES:
Charles Van Loan, Computational Frameworks for the Fast Fourier Transform, Society for Industrial and Applied Mathematics, Philadelphia, 1992, pp. vii-xiii, 1-121, 188-205.

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