NDLI: Random noise reduction capability of the Hermit polynomial based Least Squares Fourier Transform method

Content Provider	Springer Nature Link
Author	Vass, P.
Copyright Year	2012
Abstract	Treating the Fourier transform as an over-determined inverse problem is a new conception for determining the frequency spectrum of a signal. The concept enables us to implement several algorithms depending on the applied inversion tool. One of these algorithms is the Hermit polynomial based Least Squares Fourier Transform (H-LSQ-FT). The H-LSQ-FT is suitable for reducing the influence of random noise. The aim of the investigation presented in the paper was to study the noise reduction capability of the H-LSQ-FT in some circumstances. Four wavelet-like signals with different properties were selected for testing the method. Examinations were completed on noiseless and noisy signals. The H-LSQ-FT provided the best noise reduction for the noisy signal having low peak frequency and wide band width. Finally, the results obtained by the H-LSQ-FT were compared to those of other traditional methods. It is showed that the H-LSQ-FT yields better noise filtering than these methods do.
Starting Page	328
Ending Page	343
Page Count	16
File Format	PDF
ISSN	12178977
Journal	Acta Geodaetica et Geophysica Hungarica
Volume Number	47
Issue Number	3
e-ISSN	15871037
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-02-27
Publisher Institution	Quarterly of the Hungarian Academy of Sciences
Publisher Place	Dordrecht
Access Restriction	Subscribed
Subject Keyword	inverse problem Hermit polynomials noise reduction Fourier transform Geophysics/Geodesy Least Squares method
Content Type	Text
Resource Type	Article
Subject	Building and Construction Geology Geophysics

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