英语翻译The wavelet analysis procedure is to adopt a wavelet pro
英语翻译
The wavelet analysis procedure is to adopt a wavelet prototype function,called an analyzing wavelet or mother wavelet.Temporal analysis is performed with a contracted,high-frequency version of the prototype wavelet,while frequency analysis is performed with a dilated,low-frequency version of the same wavelet.Because the original signal or function can be represented in terms of a wavelet expansion (using coefficients in a linear combination of the wavelet functions),data operations can be performed using just the corresponding wavelet coefficients.And if you further choose the best wavelets adapted to your data,or truncate the coefficients below a threshold,your data is sparsely represented.This sparse coding makes wavelets an excellent tool in the field of data compression.
The wavelet analysis procedure is to adopt a wavelet prototype function,called an analyzing wavelet or mother wavelet.Temporal analysis is performed with a contracted,high-frequency version of the prototype wavelet,while frequency analysis is performed with a dilated,low-frequency version of the same wavelet.Because the original signal or function can be represented in terms of a wavelet expansion (using coefficients in a linear combination of the wavelet functions),data operations can be performed using just the corresponding wavelet coefficients.And if you further choose the best wavelets adapted to your data,or truncate the coefficients below a threshold,your data is sparsely represented.This sparse coding makes wavelets an excellent tool in the field of data compression.
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小波分析过程采取了一个叫做分析小波或者母小波的小波原型函数.时序分析采用了原型小波的一个压缩过的高频版本,而频域分析采取了同一个小波的扩张低频版本.因为原始信号或者函数可以表示为小波的展开（使用小波函数的线性组合的系数）,数据操作可以仅仅使用相应的小波系数.此外,如果更进一步选择适应你的数据的最优小波,或者截去低于某个阈值的系数,你就得到一个（你的数据的）稀疏表示.这个稀疏编码（的办法）使得小波成为数据压缩领域中的一个优秀的工具.
注：is performed with直译意思是“用什么来执行、运转”,其实就是“采取、采用”等意思,后者是更符合中文习惯的表达方式.
注：is performed with直译意思是“用什么来执行、运转”,其实就是“采取、采用”等意思,后者是更符合中文习惯的表达方式.
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