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Título del libro: Proceedings Of The 15th International Conference On Ground Penetrating Radar, Gpr 2014
Título del capítulo: Multiresolution analysis based on Mallat pyramidal algorithm applied to GPR data

Autores UNAM:
DORA CELIA CARREON FREYRE;

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Autores externos:

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Idioma:
Inglés

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Año de publicación:
2014

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Palabras clave:

Algorithms; Discrete Fourier transforms; Discrete wavelet transforms; Frequency domain analysis; Geological surveys; Multiresolution analysis; Wavelet analysis; Wavelet decomposition; Wavelet transforms; Decomposition methods; Electrical discontinuity; Frequency components; Mallat pyramidal algorithm; Orthogonal projection; Successive approximations; Time frequency analysis; Time-frequency planes; Ground penetrating radar systems

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Resumen:

The implementation of the Pyramidal Mallat algorithm to GPR data, according to the analysis of its transient nature, is proposed. This is a decomposition method of the discrete wavelet transform which introduces a variable and scalable wavelet length, with compact support and limited band in the frequency domain. GPR data were analyzed in a time-frequency plane and are synthesized at different levels of resolution through octaves of frequency allowing noise removal[7]. This technique allows the improvement of radargrams in urban areas since the characteristic noise mask the main reflectors. In those cases the application of the Discrete Fourier Transform, designed for data analysis in which the frequency does not vary with time, is limited. Discrete Wavelet Transform is an alternative tool for analysis of transient data because it determines that time corresponds to each frequency component and also allows to reconstruct the data in a sequence of successive approximation spaces, such as orthogonal subspaces. The binding of them define L2(R) and each orthogonal projection represents a level of data resolution. In this paper the results obtained for different types of wavelets from the Daubechies family are presented. © 2014 IEEE.

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Entidades citadas de la UNAM:

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Fuente:


ISBN:
9781479967896
Editorial:
Institute of Electrical and Electronics Engineers Inc.

Tipo de producto:
Conference Paper

DOI:
10.1109/ICGPR.2014.6970505