小波（Wavelet)这一术语，顾名思义，“小波”就是小区域、长度有限

小波（Wavelet)这一术语，顾名思义，“小波”就是小区域、长度有限、均值为0的波形。所谓“小”是指它具有衰减性；而称之为“波”则是指它的波动性，其振幅正负相间的震荡形式。与Fourier变换相比，小波变换是时间（空间）频率的局部化分析，它通过伸缩平移运算对信号（函数)逐步进行多尺度细化，最终达到高频处时间细分，低频处频率细分，能自动适应时频信号分析的要求，从而可聚焦到信号的任意细节，解决了Fourier变换的困难问题，成为继Fourier变换以来在科学方法上的重大突破。有人把小波变换称为“数学显微镜”。

結果 (英文) 1:

Wavelet (Wavelet) this term is, as the name suggests, "Wavelet" is the small area, wave of limited length, the value is 0. The so-called "small" means it has a decay rate of and called "wave" refers to the volatility, the amplitudes between positive and negative phases of shock forms. Compared with the Fourier transform, wavelet transform (spatial) frequency localization analysis, it signals through the telescopic pan operations (functions) gradually multiscale thinning and eventually reaches high frequency time segments, low-frequency frequency segments, can automatically adapt to requirements of time-frequency signal analysis, thereby focusing the signal of any detailsSolves the problem of Fourier transform, becoming the major breakthroughs in the scientific method since the Fourier transform. Wavelet transform was called "mathematical microscope".

結果 (英文) 2:

Wavelet (Wavelet) term, by definition, "wavelet" is a small area, the length is limited, mean waveform zero. The so-called "small" means it has a decay; while the "wave" refers to its volatility, its amplitude shocks in the form of positive and negative phases. Compared with the Fourier transform, wavelet transform is the time (space) localization analysis of frequency shift it by stretching operation on the signal (function) Multiscale gradually refined, and ultimately achieve high frequency time segments, low frequency frequency segments can automatically adapt to the requirements of time-frequency signal analysis, which can focus on any detail of the signal, to solve the difficult problem of Fourier transform, Fourier transform since become a major breakthrough in the scientific method. Some of the wavelet transform is called "mathematical microscope."

結果 (英文) 3:

Wavelet transform (Wavelet) is a term, as the name implies, "wavelet" is a small region, finite length, mean 0 waveform. The so-called "small" means it has decay; and called it the "wave" refers to its volatility, the amplitude of positive and negative shocks form. Compared with the Fourier transform, the wavelet transform is a time frequency analysis (spatial) localization, it through the telescopic translation operations to signal (function) gradually multiscale, ultimately achieve high frequency time segments, low frequency subdivision, can automatically adapt to the time-frequency signal analysis requirements, which can focus on any signal details,To solve the difficult problem of Fourier transform, become a major breakthrough in the scientific method of Fourier transform. Someone put the wavelet transform called "mathematical microscope".