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CONTENTS
1 Introduction ............................................................................................................................1
1.1 Background and Meaning ...............................................................................................1
1.2 Research Status................................................................................................................1
1.3 Main Work and Structure of This Thesis ........................................................................2
2 Mutual Information Rate and Its Fast Estimation Algorithm.................................................4
2.1 Basic Consept ..................................................................................................................4
2.1.1 Entropy Rate.............................................................................................................4
2.1.2 Mutual Information Rate ..........................................................................................4
2.1.3 Negative Entropy......................................................................................................5
2.1.4 Kurtosis ....................................................................................................................5
2.2 Estimation Algorithms ....................................................................................................6
2.2.1 Fast Algorithm for Probability Density Function.....................................................6
2.2.2 Fast Algorithm for Mutual Information Rate ...........................................................9
2.2.3 Fast Algorithm for Score Function.........................................................................10
2.3 Convolution Model of Seismic Record .........................................................................12
3 Mutual Information Rate Based Blind Deconvolution in Time Domain .............................14
3.1 MIR Minimized Algorithm for Blind Deconvolution in Time Domain .......................14
3.1.1 Principle of Algorithm............................................................................................14
3.1.2 Implementation of Algorithm.................................................................................17
3.2 Processing and Analysis for Synthesized Signal...........................................................17
3.2.1 Processing and Analysis for Noise Free Signal......................................................17
3.2.2 Processing and Analysis for Noise Added Signal ..................................................19
3.3 Summary .......................................................................................................................21
4 Mutual Information Rate Based Blind Deconvolution in Frequency Domain.....................22
4.1 MIR Minimized Algorithm for Blind Deconvolution in Frequency Domain ...............22
4.1.1 Principle of Algorithm............................................................................................22
4.1.2 Noise Impact and Improved Method......................................................................23
4.1.3 Criterion for Initial Value Selection.......................................................................26
4.1.4 Implementation of Algorithm.................................................................................27
4.2 Processing and Analysis for Synthesized Signal...........................................................27
4.3 Processing and Analysis for Real Seismic Data............................................................30
4.3.1 Processing and Analysis for Single Seismic Record..............................................30
4.3.2 Processing and Analysis for Seismic Data .............................................................30
4.4 Summary .......................................................................................................................31
5 Robust Wavelet Estimation Based on Mutual Information Rate .........................................32
5.1 Noise Sensitivity Analysis for MIR Criterion...............................................................32