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Blind Deconvolution of Seismic Signals in Time and Frequency Domain : a Study on 2004 Sumatra Earthquake

초록

영어

Blind deconvolution of Green’s Function (GF) as well as the Source Time Function (STF) is a fundamental problem in seismic signal processing. This paper presents a comparative study of two blind deconvolution methods for determining the Green’s function as well as the source time function from the recorded seismic data. We have tested these algorithms on the December 26, 2004 Sumatra earthquake (Mw=9.3). An improvised Least Mean Square (LMS) algorithm has been used to improve the multi-pulse method proposed earlier by Cookey et al. [1]. We have also evaluated the performance of this improvised multi-pulse method against the Frequency-Domain Blind Deconvolution (FDBD) method. The FDBD method is based on Mutual Information Rate (MIR) proposed by Larue et al. [3]. These methods have also been tested for some of the records of the earthquake at different stations worldwide available on IRIS-dataset. We have found the azimuthal dependency of the source time function on these records. We have also compared both the methods using synthetic as well as real data. The STFs recovered on different stations using multi-pulse model and FDBD method show similarity in shape and duration as well. However the proposed improvisation on the multipulse method is computationally efficient.

목차

Abstract
 1. Introduction
 2. Seismic Blind Deconvolution
 3. The Blind Deconvolution methods
  3.1. Multi-pulse Method
  3.2. Frequency Domain Blind Deconvolution (FDBD)
 4. Estimation of Source Time Function
  4.1. Modified LMS Method for Deconvolution
 5. Experimental Results and Discussion
  5.1. Validation using Synthetic data
  5.2. Validation of Modified Multi-pulse Algorithm
  5.3. Validation of Frequency-Domain Blind Deconvolution
  5.4. Extraction of STF and GF Using Modified Multi-pulse Model
  5.5. Extraction of STF and GF using Frequency Domain Blind Deconvolution
 6. Conclusions
 References

저자정보

  • Kedarnath Senapati Institute of Mathematics and Applications
  • Santosh Dhubia Department of Geology and Geophysics, Indian Institute of Technology
  • Aurobinda Routray Department of Electrical Engineering Indian Institute of Technology
  • William Kumar Mohanty Department of Geology and Geophysics Indian Institute of Technology

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