Digital Deconvolution

Covering ideas and methods while concentrating on fundamentals, this book includes wave motion; digital imaging; digital filtering; visualization aspects of the seismic reflection method; sampling theory; the frequency spectrum; synthetic seismograms; wavelet processing; deconvolution; seismic attributes; phase rotation; and seismic attenuation.

Deconvolution of Geophysical Time Series in the Exploration for Oil and Natural Gas

CD-ROM contains source code listings, problem sets, and an eBook version with full text search

Convolution is the most important operation that describes the behavior of a linear time-invariant dynamical system. Deconvolution is the unraveling of convolution. It is the inverse problem of generating the system's input from knowledge about the system's output and dynamics. Deconvolution requires a careful balancing of bandwidth and signal-to-noise ratio effects. Maximum-likelihood deconvolution (MLD) is a design procedure that handles both effects. It draws upon ideas from Maximum Likelihood, when unknown parameters are random. It leads to linear and nonlinear signal processors that provide high-resolution estimates of a system's input. All aspects of MLD are described, from first principles in this book. The purpose of this volume is to explain MLD as simply as possible. To do this, the entire theory of MLD is presented in terms of a convolutional signal generating model and some relatively simple ideas from optimization theory. Earlier approaches to MLD, which are couched in the language of state-variable models and estimation theory, are unnecessary to understand the essence of MLD. MLD is a model-based signal processing procedure, because it is based on a signal model, namely the convolutional model. The book focuses on three aspects of MLD: (1) specification of a probability model for the system's measured output; (2) determination of an appropriate likelihood function; and (3) maximization of that likelihood function. Many practical algorithms are obtained. Computational aspects of MLD are described in great detail. Extensive simulations are provided, including real data applications.

Presents an advanced overview of Digital Signal Processing and its applications to exploration seismology, for electrical engineers, geophysicists and petroleum professionals.

Deconvolution is a technique in signal or image processing that is applied to recover information. When it is employed, it is usually because instrumental effects of spreading and blurring have obscured that information. In 1996, Deconvolution of Images and Spectra was published (Academic Press) as a second edition of Jansson's 1984 book, Deconvolution with Applications in Spectroscopy. This landmark volume was first published to provide both an overview of the field, and practical methods and results. The present Dover edition is a corrected reprinting of the second edition. It incorporates all the advantages of its predecessors by conveying a clear understanding of the field while providing a selection of effective, practical techniques. The authors assume only a working knowledge of calculus, and emphasize practical applications over topics of theoretical interest, focusing on areas that have been pivotal to the evolution of the most effective methods. This tutorial is essentially self-contained. Readers will find it practical and easy to understand.

The Analogue-to-digital converter (ADC) is the most pervasive block in electronic systems. With the advent of powerful digital signal processing and digital communication techniques, ADCs are fast becoming critical components for system’s performance and flexibility. Knowing accurately all the parameters that characterise their dynamic behaviour is crucial, on one hand to select the most adequate ADC architecture and characteristics for each end application, and on the other hand, to understand how they affect performance bottlenecks in the signal processing chain. Dynamic Characterisation of Analogue-to-Digital Converters presents a state of the art overview of the methods and procedures employed for characterising ADCs’ dynamic performance behaviour using sinusoidal stimuli. The three classical methods – histogram, sine wave fitting, and spectral analysis – are thoroughly described, and new approaches are proposed to circumvent some of their limitations. This is a must-have compendium, which can be used by both academics and test professionals to understand the fundamental mathematics underlining the algorithms of ADC testing, and as an handbook to help the engineer in the most important and critical details for their implementation.

Introduction to Digital Filtering in Geophysics

This book describes the seismic methods used in geophys ical exploration for oil and gas in a comprehensive, non rigorous, mathematical manner. I have used it and its predecessors as a manual for short courses in seismic methods, and it has been extensively revised time and again to include the latest advances in our truly remark able science. I once called it, "Advanced Seismic Inter pretation," but the geophysicists who attended the courses always wondered when I was going to start dis cussing interpretation. They discovered at the end that I never did discuss interpretation as they knew it. No men tion was made of reflection picking, posting times, map ping, contouring, and things they already knew perfectly well. Instead, I discussed Fourier transforms, sampling theory, impulse responses, distortion operators, Wiener filters, noise in f-k space, velocity spectra, wave-equation migration, and direct detection of hydrocarbons as each of these topics appeared on the seismic scene. I wanted the geophysicists to think beyond the routine ofinterpre tation, to develop a better understanding of why seismic sections look as they do, to have a better feel for what digital processing is doing, for good or evil, to the seismic data. I attempted to stretch their minds. Whitehead said it best: "A mind once stretched by a new idea can never shrink to its former dimension. " May this book be a suc cessful mind-stretcher. R. L.

Originating in 1967 as notes to accompany a basic seminar for the Canadian SEG and then expanded in 1968 as an SEG Continuing Education course, this text focuses on how to choose processes and parameters for any given field data.