That's part of what makes Fourier wonderful. "Nonetheless, for some signal-processing applications, banded matrices could prove more efficient than the Fourier transform."
那是傅里叶变换美妙的部分，但对于某些信号处理应用来说，带状矩阵可以比傅里叶变换更加高效。
That s part of what makes Fourier wonderful. Nonetheless, for some signal-processing applications, banded matrices could prove more efficient than the Fourier transform.
那是傅里叶变换美妙的部分，但对于某些信号处理应用来说，带状矩阵可以比傅里叶变换更加高效。
One of the most common digital-signal-processing techniques is the discrete Fourier transform (DFT), which breaks a signal into its component frequencies and can be represented as a matrix.
最常见的数字信号处理技术之一是离散傅立叶变换（DFT），它把一个信号分解成它的组成频率，并表示成一个矩阵。
When they turned these measurements into a series of waves using a mathematical trick called a Fourier transform, the waves increased in magnitude as their frequency decreased.
当他们把测量结果通过傅立叶变换分解成一组波时，这组波随着频率减小而增幅巨大。
Fourier transform looks at the whole signal at once, Strang says.
“傅里叶变换一次性地考察整个信号，”Strang说。
“Fourier transform looks at the whole signal at once, ” Strang says.
“傅里叶变换一次性地考察整个信号，”Strang说。
What follows is a case study of an actual application - a discrete Fourier transform (DFT) - showing the performance improvements that result when compiling with various compiler options.
接下来的部分是一个实际程序的范例—一个离散的Fourier转变(DFT)—显示了在汇编不同汇编器选项时的改善结果。
MIT researchers developed one of the fastest software implementations of the Fourier transform, a technique for splitting a signal into its constituent frequencies.
MIT的研究者开发的最快的傅里叶变化，这一技术可以把信号分解为带有它自身成分的频率。
Each of its pixels is sensitive to specific incident angles and supplies a component of the mathematical operation called the Fourier Transform to produce an image about 20 pixels across.
它的每一个像素点都对指定的入射角十分敏感，并提供一部分称为“傅里叶变换”的数学运算以产生一张20像素的图像。
This paper presents calculation of frequency and phase difference of flow signals with spectrum analysis on basics of Fourier transform (DFT).
本文采用基于傅立叶变换(DFT)的频谱分析方法，计算流量信号的频率和相位差。
Although the filtering method in frequency domain can solve the time variant filtering problem based on Fourier transform, the method may appear a false anomaly in conjunct part between Windows.
频率域滤波方法虽然可解决时变滤波问题，但这种方法是基于傅里叶变换，在窗口与窗口之间的接合部位会出现假异常。
Physical meaning: the self-correlation function and the energy spectrum density function compose a Fourier transform pair.
物理含义：能量信号的自相关函数与能量谱密度函数构成傅立叶变换对。
The critical part of this sight is a holographic optical elements combined with a lensless Fourier transform hologram and a holographic beam transformer.
瞄准具的核心部件是由一块无透镜傅里叶变换位相全息图和一块全息光束变换器组成的全息光学元件。
The Fourier transform method has been used to analyze the influence of modal amplitude and phase fluctuations in a mode-locked laser on performance of its output pulse.
用傅里叶变换的方法分析了锁模激光器中模式间的相位和振幅涨落对锁模脉冲列特性的影响。
The success of the synthesis of the PEG TEFE silane was confirmed with (1)H NMR and Fourier transform infrared spectroscopy (FTIR).
TEFE硅烷的成功组装已经在（1）HNMR和傅里叶变换红外光谱（FTIR）分析中得到证实。
In this paper, a technology of implementation of the multichannel fractional Fourier transform (FRT) is proposed using holographic lens array.
提出利用全息透镜阵列来实现多通道分数傅里叶变换技术。
In this paper, we incorporate Fourier transform with Log-Polar transform to achieve rotation invariant texture analysis.
通过将对数极坐标和傅立叶变换结合，完成旋转不变的傅立叶纹理特征提取。
For discrete convolution equation set, generally, people use Fourier transform method to solve. But in some positions, zero frequency will lose.
对于离散卷积方程组，一般采用傅氏变换的方法求解，但在某些特定系数的情况下，零频率丢失。
Fourier transform is the basis for the coherent processing in radar imaging.
雷达成像现均采用基于傅里叶变换的相干处理。
A new optical image encryption method using anamorphic fractional Fourier transform and double random phase encoding is proposed.
提出一种利用变形分数傅里叶变换和双随机相位编码对图像加密的方法。
Theoretical analysis shows that the new deblurring function is the Fourier transform of inverse filtering function.
理论分析证明，此新消模糊函数是逆滤波函数的傅里叶变换。
One is the fast Fourier transform (FFT) accelerated algorithm.
一种是快速傅立叶变换(FFT)加速算法。
All this method is based on Fourier transform.
这个方法是以富氏变换为基础。
Single spherical refracting system as the most basic unit for performing fractional Fourier transform was proposed.
提出单球面折射系统可以作为光学分数傅里叶变换的最基本单元。
A method for storage of color films using Fourier transform holograms isp resented.
本文提出一种利用傅里叶变换全息图存储彩色胶片的方法。
The Fourier transform is a classical method for analyzing signal singularities.
傅立叶变换是分析信号奇异性的传统方法。
The Fourier transform is a classical method for analyzing signal singularities.
傅立叶变换是分析信号奇异性的传统方法。
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