“Fourier Matrix”的概念、定义、习题解题方法及翻译-数学辞典

单词

Fourier Matrix

释义

Fourier Matrix

The Square Matrix with entries given by

(1)

for

, 1, 2, ...,

, and normalized by

to make it a Unitary. The Fouriermatrix

is given by

(2)

and the

matrix by

(3)

In general,

(4)

with


	(5)

where

is the

Identity Matrix. Note that the factorization (which is the basis of the FastFourier Transform) has two copies of

in the center factor Matrix.

See also Fast Fourier Transform, Fourier Transform

References

Strang, G. ``Wavelet Transforms Versus Fourier Transforms.'' Bull. Amer. Math. Soc. 28, 288-305, 1993.

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