Detection and estimation of heteroscedastic noise by means of the wavelet transform

被引：17

作者：

Mittermayr, CR

Rosenberg, E

Grasserbauer, M

机构：

[1] Institute of Analytical Chemistry, Vienna University for Technology, A-1060 Vienna

来源：

ANALYTICAL COMMUNICATIONS | 1997年 / 34卷 / 02期

关键词：

D O I：

10.1039/a608073a

中图分类号：

O65 [分析化学];

学科分类号：

070302 ; 081704 ;

摘要：

The ability of the wavelet transform (WT) to detect and estimate heteroscedastic noise was determined. The WT provides information in both the time and the frequency domains which is necessary for the detection of heteroscedastic noise. By a simple F-test applied to non-overlapping intervals of wavelet coefficients differences in the variance can be detected. By fitting a smoothed version of the signal versus a smoothed estimate of the local variance the proportionality factor can be estimated.

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收藏

页码：73 / 75

页数：3

相关论文

共 11 条

[1] APPROPRIATE CALIBRATION FUNCTIONS FOR CAPILLARY ELECTROPHORESIS .2. HETEROSCEDASTICITY AND ITS CONSEQUENCES [J].

BAUMANN, K ;

WATZIG, H .

JOURNAL OF CHROMATOGRAPHY A, 1995, 700 (1-2) :9-20

[2] WAVELET TRANSFORM FOR THE EVALUATION OF PEAK INTENSITIES IN FLOW-INJECTION ANALYSIS [J].

BOS, M ;

HOOGENDAM, E .

ANALYTICA CHIMICA ACTA, 1992, 267 (01) :73-80

[3] Instrumental noise distribution in electronic absorption spectrometry [J].

Cirovic, DA ;

Jacobsen, RM ;

Brereton, RG .

ANALYTICAL COMMUNICATIONS, 1996, 33 (07) :231-234

[4] NOMENCLATURE IN EVALUATION OF ANALYTICAL METHODS INCLUDING DETECTION AND QUANTIFICATION CAPABILITIES (IUPAC RECOMMENDATIONS 1995) [J].

CURRIE, LA .

PURE AND APPLIED CHEMISTRY, 1995, 67 (10) :1699-1723

[5] NON-CONSTANT VARIANCE REGRESSION TECHNIQUES FOR CALIBRATION-CURVE-BASED ANALYSIS [J].

GARDEN, JS ;

MITCHELL, DG ;

MILLS, WN .

ANALYTICAL CHEMISTRY, 1980, 52 (14) :2310-2315

[6] EVOLVING FACTOR-ANALYSIS IN THE PRESENCE OF HETEROSCEDASTIC NOISE [J].

KELLER, HR ;

MASSART, DL ;

LIANG, YZ ;

KVALHEIM, OM .

ANALYTICA CHIMICA ACTA, 1992, 263 (1-2) :29-36

[7] HEURISTIC EVOLVING LATENT PROJECTIONS - RESOLVING 2-WAY MULTICOMPONENT DATA .1. SELECTIVITY, LATENT-PROJECTIVE GRAPH, DATASCOPE, LOCAL RANK, AND UNIQUE RESOLUTION [J].

KVALHEIM, OM ;

LIANG, YZ .

ANALYTICAL CHEMISTRY, 1992, 64 (08) :936-946

[8] PREPROCESSING OF ANALYTICAL PROFILES IN THE PRESENCE OF HOMOSCEDASTIC OR HETEROSCEDASTIC NOISE [J].

KVALHEIM, OM ;

BRAKSTAD, F ;

LIANG, YZ .

ANALYTICAL CHEMISTRY, 1994, 66 (01) :43-51

[9] HEURISTIC EVOLVING LATENT PROJECTIONS - RESOLVING 2-WAY MULTICOMPONENT DATA .2. DETECTION AND RESOLUTION OF MINOR CONSTITUENTS [J].

LIANG, YZ ;

KVALHEIM, OM ;

KELLER, HR ;

MASSART, DL ;

KIECHLE, P ;

ERNI, F .

ANALYTICAL CHEMISTRY, 1992, 64 (08) :946-953

[10] Wavelets and signal processing [J].

Rioul, Olivier ;

Vetterli, Martin .

IEEE SIGNAL PROCESSING MAGAZINE, 1991, 8 (04) :14-38