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OverviewFull Product DetailsAuthor: Claude Duchon (University of Oklahoma) , Robert Hale (Colorado State University)Publisher: John Wiley & Sons Inc Imprint: John Wiley & Sons Inc Dimensions: Width: 17.50cm , Height: 1.80cm , Length: 25.20cm Weight: 0.649kg ISBN: 9780470971994ISBN 10: 0470971991 Pages: 262 Publication Date: 30 December 2011 Audience: College/higher education , Undergraduate Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsSeries foreword vii Preface ix 1. Fourier analysis 1 1.1 Overview and terminology 2 1.2 Analysis and synthesis 6 1.3 Example data sets 14 1.4 Statistical properties of the periodogram 23 1.5 Further important topics in Fourier analysis 47 Appendix 1.A Subroutine foranx 83 Appendix 1.B Sum of complex exponentials 86 Appendix 1.C Distribution of harmonic variances 86 Appendix 1.D Derivation of Equation 1.42 92 Problems 93 References 99 2. Linear systems 101 2.1 Input–output relationships 102 2.2 Evaluation of the convolution integral 104 2.3 Fourier transforms for analog data 110 2.4 The delta function 113 2.5 Special input functions 118 2.6 The frequency response function 122 2.7 Fourier transform of the convolution integral 128 2.8 Linear systems in series 130 2.9 Ideal interpolation formula 132 Problems 137 References 142 3. Filtering data 143 3.1 Recursive and nonrecursive filtering 144 3.2 Commonly used digital nonrecursive filters 150 3.3 Filter design 159 3.4 Lanczos filtering 161 Appendix 3.A Convolution of two running mean filters 173 Appendix 3.B Derivation of Equation 3.20 176 Appendix 3.C Subroutine sigma 177 Problems 180 References 182 4. Autocorrelation 183 4.1 Definition and properties 184 4.2 Formulas for the acvf and acf 188 4.3 The acvf and acf for stationary digital processes 192 4.4 The acvf and acf for selected processes 195 4.5 Statistical formulas 201 4.6 Confidence limits for the population mean 206 4.7 Variance of the acvf and acf estimators 211 Appendix 4.A Generating a normal random variable 215 Problems 216 References 221 5. Lagged-product spectrum analysis 223 5.1 The variance density spectrum 223 5.2 Relationship between the variance density spectrum and the acvf 226 5.3 Spectra of random processes 230 5.4 Spectra of selected processes 232 5.5 Smoothing the spectrum 236 Appendix 5.A Proof of Equation 5.11 239 Appendix 5.B Proof of Equation 5.12 240 Problems 241 References 243 Index 245Reviews<p> In summary, I unequivocally endorse this book as avaluable contribution to the literature of time series analysis inthe geosciences. It is clear and includes examples that make itaccessible for students; knowledgeable practitioners will also gainnew insights from this book. (Bulletin of theAmerican Meteorological Society, 1 September 2012) <p> ?In summary, I unequivocally endorse this book as a valuable contribution to the literature of time series analysis in the geosciences. It is clear and includes examples that make it accessible for students; knowledgeable practitioners will also gain new insights from this book.? (Bulletin of the American Meteorological Society, 1 September 2012) In summary, I unequivocally endorse this book as a valuable contribution to the literature of time series analysis in the geosciences. It is clear and includes examples that make it accessible for students; knowledgeable practitioners will also gain new insights from this book. ( Bulletin of the American Meteorological Society , 1 September2012) Author InformationClaude Edward Duchon, Professor Emeritus, School of Meteorology, University of Oklahoma Robert C. Hale, Research Scientist, Cooperative Institute for Research in the Atmosphere, Colorado State University Tab Content 6Author Website:Countries AvailableAll regions |
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