Tailoring Noise Spectrum to Improve the Signal-to-noise Ratios of LC/MS Peaks with Matched Filter and Second Derivative Filter

碩士 === 國立中正大學 === 化學所 === 94 === Liquid chromatography – mass spectrometer (LC/MS) is a conventional chemical analysis instrument to determine ultra-trace level (50 ng/mL or lower) samples. In this thesis, we modify popular signal processing methods such as matched filtering and second derivative fi...

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Main Authors: Shu-Min Chiang, 江淑敏
Other Authors: Shau-Chun Wang
Format: Others
Language:zh-TW
Published: 2006
Online Access:http://ndltd.ncl.edu.tw/handle/24303191743660959266
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spelling ndltd-TW-094CCU050650122015-10-13T10:45:17Z http://ndltd.ncl.edu.tw/handle/24303191743660959266 Tailoring Noise Spectrum to Improve the Signal-to-noise Ratios of LC/MS Peaks with Matched Filter and Second Derivative Filter 修飾雜訊光譜配合匹配濾波器與二次微分濾波器改善液相層析質譜訊號峰之訊雜比 Shu-Min Chiang 江淑敏 碩士 國立中正大學 化學所 94 Liquid chromatography – mass spectrometer (LC/MS) is a conventional chemical analysis instrument to determine ultra-trace level (50 ng/mL or lower) samples. In this thesis, we modify popular signal processing methods such as matched filtering and second derivative filtering to minimize the noise intensities riding on weak LC/MS peaks. The signal-to-noise (S/N) ratios of LC/MS signals have been enhanced significantly with our modifications. Matched filtering that is a popular technique to improve chromatographic signals. Matched filtering, which consists of a cross correlation between one chromatographic analyte peak with a reference signal of similar peak shape. In our previous work, we found, because matched filter works as a low-pass filter in the frequency domain, it cannot effectively eliminate the low frequency components in flicker noises contributed by spike-like noises appeared on chromatograms. When the chromatograms are first through matched filter, we implement an multiplication computation against another artificial chromatogram added with thermal noises. As a result, low frequency noises remained in the filtered chromatograms are shifted toward higher frequency regime. When the noise-modified chromatogram is processed with the second matched filter, more noises are eliminated to accomplish higher S/N ratio enhancement. For example, the improvement ratio of despiramine analyte is about 2.3 with the first matched filtering procedures. Even two consecutive matched filters cannot provide any further improvement. In contrast, with the noise modification steps using multiplication computation, the improvement ratio is improved to 14.2 when the second matched filter is performed. Second derivative filtering, of which the major application is to remedy the drifting problem of chromatogram base-line, is made into the reference peak with two differentials for the originally level and smooth reference peak and then cross-correlation with analyte chromatographic peaks. Using simulation studies we have found that needs to consider two parameters, the width and shaped of reference peak when second derivative filter is implemented. Especially, the S/N ratio improvement is dependent on the reference peak shape when the width of reference peak is less than that of analyte peak. Regardless the reference peak shape, the best improvement is found when the width of reference peak is two to two and half times of that of analyte peak. Finally, we also use the same multiplication computation as the above to modified the noises on the second derivative filtered chromatogram. Due to the noise frequency range shifting, when the second derivative fitler is performed one more time, the S/N ratio improvement is significantly enhanced. Shau-Chun Wang 王少君 2006 學位論文 ; thesis 84 zh-TW
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sources NDLTD
description 碩士 === 國立中正大學 === 化學所 === 94 === Liquid chromatography – mass spectrometer (LC/MS) is a conventional chemical analysis instrument to determine ultra-trace level (50 ng/mL or lower) samples. In this thesis, we modify popular signal processing methods such as matched filtering and second derivative filtering to minimize the noise intensities riding on weak LC/MS peaks. The signal-to-noise (S/N) ratios of LC/MS signals have been enhanced significantly with our modifications. Matched filtering that is a popular technique to improve chromatographic signals. Matched filtering, which consists of a cross correlation between one chromatographic analyte peak with a reference signal of similar peak shape. In our previous work, we found, because matched filter works as a low-pass filter in the frequency domain, it cannot effectively eliminate the low frequency components in flicker noises contributed by spike-like noises appeared on chromatograms. When the chromatograms are first through matched filter, we implement an multiplication computation against another artificial chromatogram added with thermal noises. As a result, low frequency noises remained in the filtered chromatograms are shifted toward higher frequency regime. When the noise-modified chromatogram is processed with the second matched filter, more noises are eliminated to accomplish higher S/N ratio enhancement. For example, the improvement ratio of despiramine analyte is about 2.3 with the first matched filtering procedures. Even two consecutive matched filters cannot provide any further improvement. In contrast, with the noise modification steps using multiplication computation, the improvement ratio is improved to 14.2 when the second matched filter is performed. Second derivative filtering, of which the major application is to remedy the drifting problem of chromatogram base-line, is made into the reference peak with two differentials for the originally level and smooth reference peak and then cross-correlation with analyte chromatographic peaks. Using simulation studies we have found that needs to consider two parameters, the width and shaped of reference peak when second derivative filter is implemented. Especially, the S/N ratio improvement is dependent on the reference peak shape when the width of reference peak is less than that of analyte peak. Regardless the reference peak shape, the best improvement is found when the width of reference peak is two to two and half times of that of analyte peak. Finally, we also use the same multiplication computation as the above to modified the noises on the second derivative filtered chromatogram. Due to the noise frequency range shifting, when the second derivative fitler is performed one more time, the S/N ratio improvement is significantly enhanced.
author2 Shau-Chun Wang
author_facet Shau-Chun Wang
Shu-Min Chiang
江淑敏
author Shu-Min Chiang
江淑敏
spellingShingle Shu-Min Chiang
江淑敏
Tailoring Noise Spectrum to Improve the Signal-to-noise Ratios of LC/MS Peaks with Matched Filter and Second Derivative Filter
author_sort Shu-Min Chiang
title Tailoring Noise Spectrum to Improve the Signal-to-noise Ratios of LC/MS Peaks with Matched Filter and Second Derivative Filter
title_short Tailoring Noise Spectrum to Improve the Signal-to-noise Ratios of LC/MS Peaks with Matched Filter and Second Derivative Filter
title_full Tailoring Noise Spectrum to Improve the Signal-to-noise Ratios of LC/MS Peaks with Matched Filter and Second Derivative Filter
title_fullStr Tailoring Noise Spectrum to Improve the Signal-to-noise Ratios of LC/MS Peaks with Matched Filter and Second Derivative Filter
title_full_unstemmed Tailoring Noise Spectrum to Improve the Signal-to-noise Ratios of LC/MS Peaks with Matched Filter and Second Derivative Filter
title_sort tailoring noise spectrum to improve the signal-to-noise ratios of lc/ms peaks with matched filter and second derivative filter
publishDate 2006
url http://ndltd.ncl.edu.tw/handle/24303191743660959266
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