Higher‐order statistics based coherency estimation algorithm

2003 ◽  
Author(s):  
Wenkai Lu ◽  
Yandong Li ◽  
Shanwen Zhang ◽  
Huanqin Xiao
Keyword(s):  
Order Statistics ◽  
Estimation Algorithm ◽  
Higher Order ◽  
Higher Order Statistics

Higher-order-statistics and supertrace-based coherence-estimation algorithm

Geophysics ◽  
2005 ◽  
Vol 70 (3) ◽  
pp. P13-P18 ◽  
Author(s):  
Wenkai Lu ◽  
Yandong Li ◽  
Shanwen Zhang ◽  
Huanqin Xiao ◽  
Yanda Li
Keyword(s):  
Order Statistics ◽  
Geometric Mean ◽  
Real Data ◽  
Estimation Algorithm ◽  
Higher Order ◽  
Data Cube ◽  
Order Moment ◽  
Higher Order Statistics ◽  
Data Set ◽  
Coherence Estimation

This article proposes a new higher-order-statistics-based coherence-estimation algorithm, which we denote as HOSC. Unlike the traditional crosscorrelation-based C1 coherence algorithm, which sequentially estimates correlation in the inline and crossline directions and uses their geometric mean as a coherence estimate at the analysis point, our method exploits three seismic traces simultaneously to calculate a 2D slice of their normalized fourth-order moment with one zero-lag correlation and then searches for the maximum correlation point on the 2D slice as the coherence estimate. To include more seismic traces in the coherence estimation, we introduce a supertrace technique that constructs a new data cube by rearranging several adjacent seismic traces into a single supertrace. Combining our supertrace technique with the C1 and HOSC algorithms, we obtain two efficient coherence-estimation algorithms, which we call ST-C1 and ST-HOSC. Application results on the real data set show that our algorithms are able to reveal more details about the structural and stratigraphic features than the traditional C1 algorithm, yet still preserve its computational efficiency.

Evaluation of a new Power Quality index, based in Higher Order Statistics

2017 ◽  
Vol 1 (15) ◽  
pp. 37-42
Author(s):  
J.M. Sierra-Fernández ◽  
J.J. González De La Rosa ◽  
A. Agüera-Pérez ◽  
J.C. Palomares Salas ◽  
O. Florencias-Oliveros
Keyword(s):  
Order Statistics ◽  
Power Quality ◽  
Quality Index ◽  
Higher Order ◽  
Higher Order Statistics
Sign in / Sign up

Export Citation Format

Share Document