mi l ! 1, i ai m II'' i fill ill iiiiliiii II 5 CONTENTS PRLFACE 7 1. INTRODUCTION 9 2. COMPUTATI... more mi l ! 1, i ai m II'' i fill ill iiiiliiii II 5 CONTENTS PRLFACE 7 1. INTRODUCTION 9 2. COMPUTATION Ol DIGITAL WIENER FILTERS 2.1. Definition of least squares filters 12 2.2. The normal equations 14 2.3 Filter determination by means of orthogonalization 15 2.4. Determination of the optimum spike position 20 2.5. Determination of the optimum output shape position 21 2.6. Derivation of the filter 23 2.7. Computational aspects 23 2.8. The phase-lag of a seismic wavelet 26 3. SEISMIC SIGNALS IN NOISE 4. THE CENTER OI A RANDOM NOISF REALIZATION OF 1 INITE DURATION 4.1. Introduction 30 4.2. The center of a realization of white noise 4.2.1. Characterization of white noise 4.2.2. Experimental evaluation of mean, variance and skewness 4.2.3. Derivation of mean and variance 4.3. The center of a realization of seismic noise 4.3.1 Characterization of seismic noise 4.3.2. Experimental evaluation of mean, variance and skewness 4.3.3. Derivation of mean and variance 4.3.4. Approximate evaluation of mean and variance 4.4. Conclusions
mi l ! 1, i ai m II'' i fill ill iiiiliiii II 5 CONTENTS PRLFACE 7 1. INTRODUCTION 9 2. COMPUTATI... more mi l ! 1, i ai m II'' i fill ill iiiiliiii II 5 CONTENTS PRLFACE 7 1. INTRODUCTION 9 2. COMPUTATION Ol DIGITAL WIENER FILTERS 2.1. Definition of least squares filters 12 2.2. The normal equations 14 2.3 Filter determination by means of orthogonalization 15 2.4. Determination of the optimum spike position 20 2.5. Determination of the optimum output shape position 21 2.6. Derivation of the filter 23 2.7. Computational aspects 23 2.8. The phase-lag of a seismic wavelet 26 3. SEISMIC SIGNALS IN NOISE 4. THE CENTER OI A RANDOM NOISF REALIZATION OF 1 INITE DURATION 4.1. Introduction 30 4.2. The center of a realization of white noise 4.2.1. Characterization of white noise 4.2.2. Experimental evaluation of mean, variance and skewness 4.2.3. Derivation of mean and variance 4.3. The center of a realization of seismic noise 4.3.1 Characterization of seismic noise 4.3.2. Experimental evaluation of mean, variance and skewness 4.3.3. Derivation of mean and variance 4.3.4. Approximate evaluation of mean and variance 4.4. Conclusions
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