Page 9 - MATLAB Recipes for Earth Sciences

X Contents

4 Bivariate Statistics 61

4.1 Introduction 61
4.2 Pearson·s Correlation Coeffi cient 61
4.3 Classical Linear Regression Analysis and Prediction 68
4.5 Analyzing the Residuals 72
4.6 Bootstrap Estimates of the Regression Coeffi cients 74
4.7 Jackknife Estimates of the Regression Coeffi cients 76
4.8 Cross Validation 77
4.9 Reduced Major Axis Regression 78
4.10 Curvilinear Regression 80

5 Time-Series Analysis 85

5.1 Introduction 85
5.2 Generating Signals 85
5.3 Autospectral Analysis 91
5.4 Crossspectral Analysis 97
5.5 Interpolating and Analyzing Unevenly-Spaced Data 101
5.6 Nonlinear Time-Series Analysis (by N. Marwan) 106

6 Signal Processing 119

6.1 Introduction 119
6.2 Generating Signals 120
6.3 Linear Time-Invariant Systems 121
6.4 Convolution and Filtering 124
6.5 Comparing Functions for Filtering Data Series 127
6.6 Recursive and Nonrecursive Filters 129
6.7 Impulse Response 131
6.8 Frequency Response 134
6.9 Filter Design 139
6.10 Adaptive Filtering 143

7 Spatial Data 151

7.1 Types of Spatial Data 151
7.2 The GSHHS Shoreline Data Set 152
7.3 The 2-Minute Gridded Global Elevation Data ETOPO2 154
7.4 The 30-Arc Seconds Elevation Model GTOPO30 157