Research methods and basic theories used in this thesis, such as Fourier transform and fractional Fourier transform, are also emphasized in detail.
首先，概括介绍了哈特莱变换以及基于这种变换的图像编码方法，引入了哈特莱变换的分数形式。
In the theory of the system, the tools of Fourier analysis or Fourier transform enable us to analyze the response of a LTI system, such as a circuit, to such sinusoidal inputs.
在系统理论中，付里叶分析与付里叶变换的工具使我们能够对一个线性时不变系统在正弦激励下的响应进行分析，比如一个电路对正弦输入下的响应。
An implicit method is employed in solving diffusion term and projection term, such as Gauss-Seidel iteration method, Fast Fourier Transform.
在求解扩散项和投影项时，采用隐式的求解方法，例如高斯—塞德尔迭代法、快速傅里叶变换。
Advanced signal processing techniques such as discrete wavelet transform (DWT) and a corrected multiresolution Fourier transform (MFT) are applied to investigate the vibration and current transients.
信号处理的先进技术，如离散小波变换(DWT)和纠正多分辨傅立叶变换(MFT中)是适用于调查的振动和电流瞬变。
First, face images are processed by a 2D Fourier transform that has some effective properties such as a linear transform, and is invariant against spatial translation.
首先对人脸图像进行傅里叶变换，得到其具有位移不变特性的振幅谱表征。
It proved that using the Waterfall based on Short-Time Fourier Transform to analyze non-balanced signal has many advantages such as.
实践证明：用基于短时傅里叶变换的瀑布图来分析非平稳信号，具有分辨率高、特征提取结果更为精确的特点。
It proved that using the Waterfall based on Short-Time Fourier Transform to analyze non-balanced signal has many advantages such as.
实践证明：用基于短时傅里叶变换的瀑布图来分析非平稳信号，具有分辨率高、特征提取结果更为精确的特点。
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