Fourier analysis, also known as Fourier transformation, is a fundamental concept in mathematics and engineering. It is named after the French mathematician Joseph Fourier and is widely used in fields such as signal processing, physics, and data analysis. This technique allows complex functions to be expressed as a sum of simpler trigonometric functions, which helps in understanding and manipulating various phenomena. In a simple terminology, Fourier analysis breaks down a signal or function into its constituent frequencies, enabling the analysis of the signal with respect to its frequency components. For example, in electrical engineering, Fourier analysis is used to analyze the frequency content of signals in audio, video, and communication systems, facilitating the design and optimization of these systems. In summary, Fourier analysis is a powerful tool with diverse applications, contributing to the understanding and advancement of various scientific and engineering fields.
傅里叶分析,fourier analysis
1)fourier analysis傅里叶分析
1.Feature extraction arithmetic researching based on Fourier analysis in optical correlation recognition;光学相关识别中基于傅里叶分析的特征提取算法研究
2.Determination of MHD mode with spatial Fourier analysis;空间傅里叶分析法识别MHD扰动模式
3.Wavelet analysis develops from Fourier analysis.小波分析是傅里叶分析的发展与延拓。
英文短句/例句
1.fourier analysis of crystal structure晶体结构傅里叶分析法
2.fourier analyzer傅里叶分析器谐波分析器
3.Fourier Analysis and Analogue of Magneto-Optic Disc Readout Signal光磁盘读出信号的傅里叶分析及模拟
4.Fourier analysis is the mathematical method used to break sounds down into sine waves.傅里叶分析是将声音分解为正弦波的数学方法。
5.The data is calculated by using the wavelet transformation and Fourier transformation.利用小波分析和傅里叶分析方法对资料进行处理，分析结果表明。
6.fast-Fourier-transform analyzer快速傅里叶变换分析仪
7.FTIS(Fourier Transform Infrared Spectroscopy)傅里叶变换红外线分光光谱分析
8.fast-Fourier-transform spectrum analyzer快速傅里叶变换频谱分析仪
9.FT-IR Spectrometric Analysis of Aluminum Triphosphate三磷酸铝的傅里叶变换红外光谱分析
10.Fourier transform infrared spectroscopy傅里叶变换红外分光镜
11.Fourier-Bessel integral傅里叶－贝塞耳积分
12.Analysis on F·L·Y Transformation of Interfering with the infrared Light Photometer;干涉型红外分光光度计的傅里叶变换的分析
13.Phase-space analysis for fractional Fourier transform of first-order optical system一阶光学系统分数傅里叶变换的相空间分析
14.FOURIER SPECTRAL ANALYSIS FOR PRISM-THIN FILM WAVEGUIDE COUPLING棱镜-薄膜波导耦合的傅里叶频谱分析方法
15.Development of Network Harmonic Analyser Based on Fast Foutier Transform;快速傅里叶变换电网谐波分析仪的研究
16.Using fourier series to analyze the factor which decide timbre;利用傅里叶级数分析决定乐音音色的因素
17.FT-IR Spectrum Analysis of the Herbal Medicine Soldago Decurrens Lour;傅里叶变换红外光谱用于一枝黄花的分析
18.Simulation Analysis of Pavement Evenness Based on Inverse Fast Fourier Transform基于快速傅里叶逆变换的路面平整度仿真分析
相关短句/例句
fourier transform傅里叶分析
1.Fault diagnosis of power electronic circuits with discretefourier transform;用傅里叶分析法诊断电力电子电路的故障
2.On the base of Fourier transform method, the quantum actions between light and the periodic structure in time and space are discussed.讨论了空间周期结构（如光栅、晶格等）和时间周期性对光波和物质波的作用，即动量和能量的量子化变化，并用傅里叶分析和相对论的方法对其进行了分析论证，提出了一种对于运动和物体相互作用在概念上的处理方法。
3)short-time Fourier analysis短时傅里叶分析
1.In order to determine the appropriate time window width and center ofshort-time Fourier analysis(STFT),a method combining STFT and mathematical morphology is presented to analyze the components of a transient signal.为了提取恰当的短时傅里叶分析(STFT)时间窗宽度和中心,进而利用STFT分析暂态信号成分,提出了基于数学形态学的STFT方法。
2.In view of the cross-term signals of time-frequency distribution,a brief survey is given about the ways and characteristics ofshort-time Fourier analysis,Wigner-Vill distribution and some other evolved time-frequency distributions and its reset principles.针对时频分布的交叉干涉项信号简述了短时傅里叶分析、Winger-Vill分布和由其演化的几种时频分布方法、特点以及时频分布的重排原理。
4)Fourier analysis of image图像傅里叶分析
5)2-D Fourier phase analysis傅里叶相位分析
1.The2-D Fourier phase analysis is used to process 1 minute intervalIR imagery in order to retrieve the cloud motionwind field.根据二维傅里叶相位分析原理,对1 min间隔的IR云图进行由云推导风的反演。
6)Fourier"s analysis method傅里叶分析方法
延伸阅读
傅里叶分析傅里叶分析Fourieranalysis分析学中18世纪以后逐渐形成的一个重要分支，主要研究函数的傅里叶变换及其性质。又称调和分析。在经历了近2个世纪的发展之后，研究领域已从直线群、圆周群扩展到一般的抽象群。关于后者的研究又称为群上的傅里叶分析，以区别于前者的经典傅里叶分析。傅里叶分析，作为数学的一个分支，无论在概念或方法上都广泛地影响着数学其他分支的发展。数学中很多重要思想的形成，都与傅里叶分析的发展过程密切相关。法国科学家J.-B.-J.傅里叶由于当时工业上处理金属的需要，从事热流动的研究。他在题为《热的解析理论》一文中，发展了热流动方程，并且指出如何求解；在求解过程中，他提出了任意周期函数都可以用三角级数来表示的想法。他的这种思想，虽然缺乏严格的论证，但对近代数学以及物理、工程技术却都产生了深远的影响，成为傅里叶分析的起源。
