The wavelet transform in aeromagnetic processing

Research output: Contribution to journalArticle

60 Citations (Scopus)

Abstract

The discrete wavelet transform (DWT) provides an effective and efficient alternative to traditional Fourier and spatial-convolution processing techniques in the enhancement of aeromagnetic data. Standard operators such as horizontal and vertical derivatives, integrals of any order, and the Hilbert transform can be diagonalized in the wavelet domain, leading to an efficient algorithm. The DWT preserves the spatial localization of the components of the signal, allowing for intelligent discrimination between noise and signal in a given frequency range. This, for example, allows for more accurate calculation of higher order derivatives from noisy signals than is possible with conventional techniques. Additional accuracy can be gained by using a cycle-spinning algorithm to minimize local artifacts from the DWT denoising procedure.
Original languageEnglish
Pages (from-to)1003-1013
JournalGeophysics
Volume64
Issue number4
DOIs
Publication statusPublished - 1999

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Discrete wavelet transforms
Wavelet transforms
wavelet
transform
Processing
Derivatives
Convolution
aeromagnetic survey
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abstract = "The discrete wavelet transform (DWT) provides an effective and efficient alternative to traditional Fourier and spatial-convolution processing techniques in the enhancement of aeromagnetic data. Standard operators such as horizontal and vertical derivatives, integrals of any order, and the Hilbert transform can be diagonalized in the wavelet domain, leading to an efficient algorithm. The DWT preserves the spatial localization of the components of the signal, allowing for intelligent discrimination between noise and signal in a given frequency range. This, for example, allows for more accurate calculation of higher order derivatives from noisy signals than is possible with conventional techniques. Additional accuracy can be gained by using a cycle-spinning algorithm to minimize local artifacts from the DWT denoising procedure.",
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The wavelet transform in aeromagnetic processing. / Ridsdill-Smith, T.A.; Dentith, Mike.

In: Geophysics, Vol. 64, No. 4, 1999, p. 1003-1013.

Research output: Contribution to journalArticle

TY - JOUR

T1 - The wavelet transform in aeromagnetic processing

AU - Ridsdill-Smith, T.A.

AU - Dentith, Mike

PY - 1999

Y1 - 1999

N2 - The discrete wavelet transform (DWT) provides an effective and efficient alternative to traditional Fourier and spatial-convolution processing techniques in the enhancement of aeromagnetic data. Standard operators such as horizontal and vertical derivatives, integrals of any order, and the Hilbert transform can be diagonalized in the wavelet domain, leading to an efficient algorithm. The DWT preserves the spatial localization of the components of the signal, allowing for intelligent discrimination between noise and signal in a given frequency range. This, for example, allows for more accurate calculation of higher order derivatives from noisy signals than is possible with conventional techniques. Additional accuracy can be gained by using a cycle-spinning algorithm to minimize local artifacts from the DWT denoising procedure.

AB - The discrete wavelet transform (DWT) provides an effective and efficient alternative to traditional Fourier and spatial-convolution processing techniques in the enhancement of aeromagnetic data. Standard operators such as horizontal and vertical derivatives, integrals of any order, and the Hilbert transform can be diagonalized in the wavelet domain, leading to an efficient algorithm. The DWT preserves the spatial localization of the components of the signal, allowing for intelligent discrimination between noise and signal in a given frequency range. This, for example, allows for more accurate calculation of higher order derivatives from noisy signals than is possible with conventional techniques. Additional accuracy can be gained by using a cycle-spinning algorithm to minimize local artifacts from the DWT denoising procedure.

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DO - 10.1190/1.1444609

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JO - Geophysics

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