Time sequence analysis in geophysics
Time sequence analysis is the study of relations between a sequence of data points or sequence of signals in order to determine the physical properties of the earth. Providing an up-to-date treatment on time series and time sequence, this book is intended for senior or graduate students in seismology, geomagnetism and exploratory geophysics.
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INTRODUCTORY OBSERVATIONS l
CONVOLUTION OF A TIME SERIES
FAST FOURIER TRANSFORMS
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actual output algorithm amplitude attenuation auto correlation function autocovariance axes Backus band pass filter Butterworth filter coefficients coherence components computed convolution correlation function cosine covariance cross correlation deconvolution defined desired output diagram Dirac comb Dirac delta function equation example Exploration Geophysicists fast Fourier transform Fourier series frequency domain Geophys Geophysics given impulse response input signal integral inverse filter Kanasewich Laplace transform layer linear low pass filter matrix maximum entropy method minimum phase motion multiplication negative normalized Nyquist frequency obtained operator oscillations periodogram phase spectrum plane polarization poles power spectrum random record recursive reflection Ricker wavelet Robinson seismograms shown in figure Society of Exploration spectral analysis spectral estimate technique theory tion traces transfer function truncated unit circle variance vector velocity filter wavelet waves white noise Wiener zero phase shift