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Fourier Transforms

傅里叶变换

A very common scenario in the analysis of experimental data is the taking of data as a function of time and the need to analyze that data as a function of frequency. The transformation from a "signal vs time" graph to a "signal vs frequency" graph can be done by the mathematical process known as a Fourier transform. While there are other kinds of Fourier transforms, the transform from a time to a frequency function serves as an important example.

在实验数据分析中,一个非常常见的场景是将数据作为时间的函数来获取,并需要将该数据作为频率的函数进行分析。将“信号 vs 时间”图转换为“信号 vs 频率”图可以借助一种称为傅里叶变换的数学过程。虽然存在其他类型的傅里叶变换,但从时间函数到频率函数的变换是一个重要的例子。
Fourier Series
傅里叶级数
Fast Fourier transform (FFT)
快速傅里叶变换 (FFT)
Index

Statistics concepts

Reference
Schroeder
App. B
Ch 2
索引 统计概念 参考 Schröder 附录 B 第2章
 
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