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基于连续统快速傅里叶变换的红外光谱处理技术 被引量:13

Continuum Based Fast Fourier Transform Processing of Infrared Spectrum
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摘要 为实现红外光谱对遥感地物准确的识别,消除高频噪声是光谱特征分析和提取的重要环节。利用光谱连续统处理方法,结合信号时域分析领域快速傅里叶变换提出了一种新的红外光谱滤波方法。该方法首先对红外光谱进行光谱连续统去除,利用快速傅里叶变换将去连续统后光谱转换到频域,设计低通滤波器滤除高频噪声,然后通过快速傅里叶反变换将频域信号转换到时域,最后对信号进行光谱连续统恢复,得到滤除噪声后的红外光谱信号。对比实验表明,连续统快速傅里叶滤波方法比常规的时域滤波方法有更好、更快的滤波效果,解决了传统快速傅里叶红外光谱滤波的吉布斯现象。该方法操作简便、运行速度快捷、滤波效果好,满足了红外光谱地物识别对光谱高质量的要求。 To recognize ground objects with infrared spectrum,high frequency noise removing is one of the most important phases in spectrum feature analysis and extraction.A new method for infrared spectrum preprocessing was given combining spectrum continuum processing and Fast Fourier Transform(CFFT).Continuum was firstly removed from the noise polluted infrared spectrum to standardize hyper-spectra.Then the spectrum was transformed into frequency domain(FD)with fast Fourier transform(FFT),separating noise information from target information.After noise eliminating from useful information with a low-pass filter,the filtered FD spectrum was transformed into time domain(TD)with fast Fourier inverse transform.Finally the continuum was recovered to the spectrum,and the filtered infrared spectrum was achieved.Experiment was performed for chlorite spectrum in USGS polluted with two kinds of simulated white noise to validate the filtering ability of CFFT by contrast with cubic function of five point(CFFP)in time domain and traditional FFT in frequency domain.A circle of CFFP has limited filtering effect,so it should work much with more circles and consume more time to achieve better filtering result.As for conventional FFT,Gibbs phenomenon has great effect on preprocessing result at edge bands because of special character of rock or mineral spectra,while works well at middle bands.Mean squared error of CFFT is 0.000 012 336 with cut-off frequency of 150,while that of FFT and CFFP is 0.000 061 074 with cut-off frequency of 150 and 0.000 022 963 with 150 working circles respectively.Besides the filtering result of CFFT can be improved by adjusting the filter cut-off frequency,and has little effect on working time.The CFFT method overcomes the Gibbs problem of FFT in spectrum filtering,and can be more convenient,dependable,and effective than traditional TD filter methods.
出处 《光谱学与光谱分析》 SCIE EI CAS CSCD 北大核心 2009年第12期3279-3282,共4页 Spectroscopy and Spectral Analysis
基金 国家"十一五"科技支撑计划重点项目(2006BAB07B00)资助
关键词 连续统去除 快速傅里叶变换 红外光谱 噪声滤波 吉布斯 Continuum removing FFT Infrared spectrum Noise filtering Gibbs
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