Time sequence analysis in geophysics / E.R. Kanasewich.

Format:

Book

Author/Creator:

Kanasewich, E. R.

Language:

English

Subjects (All):

Geophysics--Mathematics.

Geophysics.

Time-series analysis.

Spectral theory (Mathematics).

Physical Description:

1 online resource (495 p.)

Edition:

3rd ed.

Place of Publication:

Edmonton : University of Alberta Press, 1981.

Language Note:

English

Summary:

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.

Contents:

""Contents""; ""Preface to the third edition""; ""1. Introductory observations""; ""1.1 Historical notes""; ""1.2 Applications of time sequence analysis""; ""1.3 References""; ""2. Convolution of a time series""; ""2.1 Introduction""; ""2.2 Convolution as a digital integration""; ""2.3 Convolution as a geometric operation of folding""; ""2.4 Convolution as a geometric operation of sliding""; ""2.5 Convolution as an algebraic operation - z transformation""; ""2.6 Convolution of analog signals""; ""2.7 Convolution algorithm""; ""2.8 References""; ""3. Fast Fourier transforms""

""3.1 Fourier series""""3.2 The discrete Fourier transform""; ""3.3 The principle of the fast Fourier transform""; ""3.4 Fast Fourier transform using matrix notation""; ""3.5 Fourier transformation of very long data sets""; ""3.6 Simultaneous computation of two Fourier transforms""; ""3.7 Two-dimensional Fourier transforms""; ""3.8 Fast Fourier computer programs""; ""3.9 References""; ""4. Laplace transforms and complex s plane representation""; ""4.1 Introduction""; ""4.2 The Laplace transform""; ""4.3 Examples of Laplace transformation""; ""4.4 Translation of a function""

""4.5 References""""5. Impulse response, convolution and the transfer function""; ""5.1 The impulse response""; ""5.2 Convolution in the frequency domain""; ""5.3 The transfer function""; ""5.4 References""; ""6. Correlation and covariance""; ""6.1 Definitions""; ""6.2 Properties of the autocovariance function""; ""6.3 Vibratory sources""; ""6.4 Multivariate regression""; ""6.5 References""; ""7. Wiener-Khintchine theorem and the power spectrum""; ""7.1 The periodogram""; ""7.2 Wiener-Khintchine theorem""; ""7.3 Cross-power spectrum""; ""7.4 Compensation for instrument response""

""7.5 References""""8. Aliasing""; ""8.1 The Nyquist frequency""; ""8.2 Aliasing""; ""8.3 References""; ""9. Power spectral estimates""; ""9.1 Introduction""; ""9.2 Effects of data truncation""; ""9.3 Tapering the data""; ""9.4 Daniell power spectral estimate""; ""9.5 Bartlett's power spectral estimate""; ""9.6 Prewhitening""; ""9.7 Matrix formulation of the power spectrum""; ""9.8 Spectral estimates using the autocovariance""; ""9.9 References""; ""10. Joint spectral analysis on two data sets""; ""10.1 Cross covarience with the fast Fourier transform""

""10.2 Cross-spectral analysis and coherence""""10.3 Coherency""; ""10.4 Bispectral analysis""; ""10.5 Spectral estimation of a moving average process""; ""10.6 References""; ""11. Maximum entropy spectral analysis""; ""11.1 Data adaptive spectral analysis methods""; ""11.2 The concept of entropy""; ""11.3 Maximum entropy spectral analysis""; ""11.4 Order of the AR process""; ""11.5 The autocovariance function""; ""11.6 Extension of maximum entropy method""; ""11.7 References""; ""12. The maximum likelihood method of spectral estimation""; ""12.1 Introduction""

""12.2 Comparison of MEM and MLM methods""

Notes:

Description based upon print version of record.

Includes bibliographies and indexes.

ISBN:

1-4593-0464-0

1-4175-9195-1