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Study on the Maximum Entropy Method Spectral Analysis and Deconvolution

Author: MengJiang
Tutor: YangZhengHua
School: Chang'an University
Course: Earth Exploration and Information Technology
Keywords: Maximum Entropy Spectral analysis Deconvolution
CLC: P631.4
Type: Master's thesis
Year: 2009
Downloads: 260
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Abstract


Of this thesis is to study the maximum entropy spectral analysis method based on the principle of maximum entropy method and maximum entropy deconvolution method . Maximum entropy spectral analysis is outside the limited data measured data do not make any assumptions of uncertainty , but the information entropy maximum premise , the unknown function using iterative methods recursive out spectral analysis method . Power spectrum obtained by the application of maximum entropy method , the peak is sharp resolution higher than the conventional method . A high resolution maximum entropy deconvolution Hovenia is the deconvolution order prediction error is obtained by recursive reflection coefficient sequence , so the maximum entropy deconvolution is a recursive algorithm deconvolution . Thesis through maximum entropy spectral analysis method principle , the establishment of maximum entropy spectral analysis method and program implementation. Mathematical model of the data with the measured data to complete the maximum entropy method spectral analysis in the different sampling points the contrast maximum entropy spectrum and Fourier spectrum , as well as the maximum entropy spectral changes in a different order , verify the maximum entropy spectral analysis of high resolution features. Paper application the deconvolution principle of maximum entropy , maximum entropy deconvolution method and procedures to achieve complete theoretical model data and physical model data and field data , the maximum entropy deconvolution , and its results with pulse deconvolution results were compared ; minimum-phase filter processing of data at the same time to achieve the maximum entropy deconvolution , and anti its results with the same treatment pulse convolution results without the minimum-phase filter processing maximum entropy deconvolution results contrast, the to draw maximum entropy deconvolution high resolution , tracking weak phase axis superiority .

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