Representación canónica

ADVERTISEMENT
From SEG Wiki
Jump to: navigation, search
This page is a translated version of the page Canonical representation and the translation is 62% complete.

Other languages:
English • ‎español
Digital Imaging and Deconvolution: The ABCs of Seismic Exploration and Processing
DigitalImaging.png
Series Geophysical References Series
Title Digital Imaging and Deconvolution: The ABCs of Seismic Exploration and Processing
Author Enders A. Robinson and Sven Treitel
Chapter 7
DOI http://dx.doi.org/10.1190/1.9781560801610
ISBN 9781560801481
Store SEG Online Store

What is the canonical representation of a causal wavelet? Let be the minimum-phase wavelet with the same amplitude spectrum as that of the causal wavelet w. Then is called the minimum-phase counterpart of w. The canonical representation' states that any causal wavelet w can be represented as the convolution of its minimum-phase counterpart and a causal all-pass wavelet p; that is,


(58)

Because the inverse of a minimum-phase wavelet is minimum phase, it follows that is minimum phase and hence is causal. From the canonical representation, we see that the inverse wavelet is given by


(59)

Two cases can occur. In the first case, the causal wavelet w is itself minimum phase. Then the causal all-pass wavelet is trivial, so the inverse wavelet is simply . In this case, the inverse wavelet is minimum phase and causal.

In the second case, the causal wavelet w is not minimum phase. Then the causal all-pass wavelet p is not trivial and therefore its inverse is a one-sided noncausal wavelet. In this case, the inverse wavelet is a two-sided noncausal wavelet.


Sigue leyendo

Sección previa Siguiente sección
Autocorrelación Ondículas de fase cero
Capítulo previo Siguiente capítulo
Frecuencia Sintéticos

Tabla de contenido


Also in this chapter


Vínculos externos

find literature about
Canonical representation/es
SEG button search.png Datapages button.png GeoScienceWorld button.png OnePetro button.png Schlumberger button.png Google button.png AGI button.png