Preface |
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xi | |
Acknowledgments |
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xiii | |
About the Authors |
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xv | |
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1 | (4) |
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1 | (1) |
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1.2 Scope of Multiscale Spectral Analysis in Hydrology |
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1 | (2) |
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1.3 Organization of the Book Content |
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3 | (2) |
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Chapter 2 The Theory of Advanced Spectral Analysis Methods |
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5 | (40) |
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5 | (1) |
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2.2 Conventional Spectral Analysis Methods |
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6 | (2) |
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6 | (1) |
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2.2.2 Short-Time Fourier Transform (STFT) |
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7 | (1) |
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2.3 Advanced Spectral Analysis Methods |
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8 | (25) |
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8 | (2) |
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2.3.1.1 Theory of Wavelet |
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10 | (3) |
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2.3.1.2 Types of Wavelets and Levels of Decomposition |
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13 | (4) |
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2.3.1.3 Levels of Decomposition |
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17 | (1) |
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2.3.1.4 Cross Wavelet Spectrum |
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17 | (1) |
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2.3.1.5 Wavelet Coherence (WTC) |
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18 | (1) |
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2.3.2 Hilbert-Huang Transform |
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18 | (1) |
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2.3.2.1 Empirical Mode Decomposition |
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19 | (1) |
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2.3.2.2 Ensemble Empirical Mode Decomposition |
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20 | (1) |
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2.3.2.3 Complete Ensemble Empirical Mode Decomposition with Adaptive Noise (CEEMDAN) |
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21 | (1) |
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2.3.2.4 Multivariate Empirical Mode Decomposition |
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22 | (4) |
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2.3.2.5 Statistical Significance Test of IMF Components |
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26 | (1) |
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2.3.2.6 Hilbert Transform and Its Normalization-Direct Quadrature Scheme |
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27 | (5) |
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2.3.2.7 Time Dependent Intrinsic Correlation Analysis |
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32 | (1) |
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2.4 MEMD-based Hybrid Frameworks for Hydrological Applications |
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33 | (5) |
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2.4.1 MEMD-TDIC Coupled Framework for Investigating Multiscale Teleconnections |
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33 | (1) |
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2.4.2 MEMD-based Hybrid Scheme for Hydrologic Modeling |
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34 | (3) |
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2.4.3 MEMD-Scaling Theory Coupled Approach for Developing Rainfall Intensity-Duration-Frequency (IDF) Curves |
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37 | (1) |
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38 | (7) |
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Chapter 3 Wavelet Transform Applications for Hydrological Characterization |
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45 | (20) |
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45 | (1) |
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3.2 DWT Application for Trend Analysis of Rainfall |
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45 | (11) |
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3.2.1 Study Area and Rainfall Characteristics |
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45 | (2) |
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3.2.2 DWT-SQMK Coupled Approach for Trend Analysis |
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47 | (9) |
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3.3 Application of CWT and Wavelet Coherence for Analyzing Streamflow-Sediment Link |
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56 | (5) |
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3.3.1 Study Area and Data Details |
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56 | (1) |
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3.3.2 Wavelet Analysis of Streamflow and TSS Concentration |
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57 | (4) |
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61 | (4) |
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Chapter 4 Hilbert Huang Transform Applications for Characterization of Rainfall |
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65 | (58) |
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65 | (1) |
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66 | (1) |
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4.3 Trend Analysis of Rainfall Using Non-Parametric Tests and HHT |
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67 | (6) |
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4.3.1 Trend Analysis of AISMR and Monsoon Rainfall over Homogeneous Regions |
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67 | (1) |
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4.3.2 Trend Analysis of Rainfall in Kerala Subdivision |
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68 | (5) |
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4.4 Hilbert Huang Transform Analysis of Rainfall Time Series |
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73 | (20) |
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4.4.1 Hilbert Huang Transform Analysis of Monsoon Rainfall over India |
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73 | (14) |
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4.4.2 HHT Analysis of Rainfall at Subdivisional Scale |
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87 | (6) |
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4.5 Investigating Multiscale Teleconnections of ISMR |
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93 | (14) |
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4.5.1 Multiscale Investigation of Hydroclimatic Teleconnection Using HHT |
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93 | (1) |
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94 | (1) |
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4.5.3 Multiscale Decomposition and Teleconnections of AISMR Time Series |
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95 | (5) |
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4.5.4 TDIC Analysis of AISMR Time Series |
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100 | (4) |
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4.5.5 MEMD-based TDIC for Hydroclimatic Teleconnection |
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104 | (3) |
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4.6 Developing Hourly IDF Curves Based on Multivariate Empirical Mode Decomposition and Scaling Theory |
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107 | (7) |
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4.6.1 MEMD-EV-PWM Framework for Developing Hourly IDF Curves from Coarse Resolution Rainfall Data |
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108 | (1) |
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4.6.2 Developing IDF Curves for Colaba, Mumbai, from Hourly Data |
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108 | (3) |
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4.6.3 Development of Hourly IDF Curves for Cities in Kerala from Daily Data |
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111 | (3) |
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114 | (9) |
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Chapter 5 Multiscale Characterization of Streamflow and Sediment Load Using HHT |
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123 | (32) |
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123 | (1) |
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5.2 Multiscale Characterization of Streamflow and TSS Concentration from Mahanadi River, India |
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124 | (19) |
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5.2.1 Description of Datasets |
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124 | (1) |
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5.2.2 Multiscale Spectral Analysis of Streamflow and TSS Concentration Series |
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124 | (7) |
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5.2.3 Investigating the Streamflow-Sediment Link Using TDIC Analysis |
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131 | (7) |
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5.2.4 Multifractal Description of Daily Streamflow and TSS Datasets Using AOHSA |
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138 | (5) |
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5.3 MEMD-TDIC Coupled Framework for Investigating Multiscale Teleconnections of Reservoir Inflow |
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143 | (9) |
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143 | (1) |
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5.3.2 HHT Analysis of Reservoir Inflow Based on MEMD |
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144 | (2) |
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5.3.3 TDIC Analysis Between Reservoir Inflow and Large-Scale Climate Oscillations |
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146 | (6) |
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152 | (3) |
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Chapter 6 MEMD-based Hybrid Schemes for Hydrological Modeling |
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155 | (38) |
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155 | (1) |
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6.2 Prediction of Seasonal Rainfall Using MEMD-SLR Hybrid Model |
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155 | (9) |
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6.3 Modeling Short-term Drought Using the MEMD-based Hybrid Models |
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164 | (9) |
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6.4 Reservoir Inflow Prediction Using the MEMD-SLR Model |
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173 | (7) |
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6.5 Prediction of Daily Suspended Sediment Load Concentration |
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180 | (9) |
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189 | (4) |
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Chapter 7 Summary and Recommendations |
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193 | (2) |
Appendices |
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195 | (10) |
Index |
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205 | |