Seismic tomography inversion of velocity field parameterized by Haar wavelet series

2017 ◽  
Author(s):  
Alexsandro G. Cerqueira ◽  
Wilson M. Figueiró ◽  
Paulo E.M. Cunha
Keyword(s):  
Velocity Field ◽  
Seismic Tomography ◽  
Haar Wavelet ◽  
Tomography Inversion ◽  
Wavelet Series

scholarly journals SEISMIC TOMOGRAPHY USING METROPOLIS METHOD OF VELOCITY FIELDS PARAMETERIZED BY HAAR WAVELET SERIES

2016 ◽  
Vol 34 (2) ◽  
Author(s):  
Alexsandro Guerra Cerqueira ◽  
Wilson Mouzer Figueiró ◽  
Paulo Eduardo Miranda Cunha
Keyword(s):  
Velocity Field ◽  
Seismic Tomography ◽  
Seismic Waves ◽  
Seismic Velocity ◽  
Haar Wavelet ◽  
Velocity Fields ◽  
Metropolis Method ◽  
Geological Models ◽  
Qualitative Models ◽  
Wavelet Series

ABSTRACT. The representation of compressional seismic waves velocity fields from geological models through numerical parameters has a strong geophysical importance, because, it makes possible to quantify such qualitative models, allowing its mathematical manipulation. In this way, the parameterization by Haar wavelet series may be seen as an attractive alternative.Keywords: parameterization, Haar wavelet series, pyramid algorithm, seismic tomography, seismic velocity field, traveltime data, Metropolis method. RESUMO. A representação de campos de velocidades sísmicas compressionais, através de parâmetros numéricos, é de importância básica na geofísica, pois torna possível a quantificação de modelos, antes qualitativos, permitindo assim que sejam matematicamente manipulados. A parametrização por série ondaleta Haar pode ser vista como uma alternativa atrativa para quantificar tais modelos...Palavras-chave: parametrização, série ondaleta Haar, inversão sísmica tomográfica, campo de velocidade sísmica, dados de tempo de trânsito, método Metropolis.

MINIMIZATION OF CIRCUIT DESIGN USING PERMUTATION OF HAAR WAVELET SERIES

2005 ◽  
Vol 14 (03) ◽  
pp. 483-495
Author(s):  
BOGDAN J. FALKOWSKI ◽  
RADOMIR S. STANKOVIĆ ◽  
DRAGAN JANKOVIĆ
Keyword(s):  
Wavelet Transform ◽  
Circuit Design ◽  
Haar Wavelet ◽  
Circuit Synthesis ◽  
Circuit Realization ◽  
Haar Wavelet Transform ◽  
Haar Functions ◽  
Wavelet Series

The paper discusses complexity of circuit realization through Haar wavelet series. The efficiency in circuit synthesis using a method for minimization of the number of non-zero Haar coefficients by permutation of binary coordinates of indices of Haar functions is considered. Some applications of Haar wavelet transform and efficient ways of its calculation for logic domain are also discussed.

Minimization of Haar wavelet series and Haar spectral decision diagrams for discrete functions

2005 ◽  
Vol 31 (3) ◽  
pp. 203-216
Author(s):  
Radomir S. Stanković ◽  
Dragan Janković ◽  
Bogdan J. Falkowski
Keyword(s):  
Haar Wavelet ◽  
Decision Diagrams ◽  
Discrete Functions ◽  
Wavelet Series
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