ALBERT

Note: Contents: 1 Introduction. - 1.1 Chapter Summary. - 1.2 The Meaning of the Book’s Title. - 1.3 Historical Background. - 1.4 How to Read This Book. - 1.5 Further Reading. - References. - PART 1 BASIC THEORETICAL CONCEPTS. - 2 Discrete-Time Signals and Systems. - 2.1 Chapter Summary. - 2.2 Basic Definitions and Concepts. - 2.3 Discrete-Time Signals: Sequences. - 2.3.1 Basic Sequence Operations. - 2.3.2 Basic Sequences. - 2.3.3 Deterministic and Random Signals. - 2.4 Linear Time-Invariant (LTI) Systems. - 2.4.1 Impulse Response of an LTI System and Linear Convolution. - 2.4.2 An Example of Linear Convolution. - 2.4.3 Interconnections of LTI Systems. - 2.4.4 Effects of Stability and Causality Constraints on the Impulse Response of an LTI System. - 2.4.5 Finite (FIR) and Infinite (IIR) Impulse Response Systems. - 2.4.6 Linear Constant-Coefficient Difference Equation (LCCDE). - 2.4.7 Examples of LCCDE. - 2.4.8 The Solutions of an LCCDE. - 2.4.9 From the LCCDE to the Impulse Response: Examples. - 2.4.10 Eigenvalues and Eigenfunctions of LTI Systems. - References. - 3 Transforms of Discrete-Time Signals. - 3.1 Chapter Summary. - 3.2 z-Transform. - 3.2.1 Examples of z-Transforms and Special Cases. - 3.2.2 Rational z-Transforms. - 3.2.3 Inverse z-Transform. - 3.2.4 The z-Transform on the Unit Circle. - 3.2.5 Selected z-Transform Properties. - 3.2.6 Transfer Function of an LTI System. - 3.2.7 Output Sequence of an LTI System. - 3.2.8 Zeros and Poles: Forms for Rational Transfer Functions. - 3.2.9 Inverse System. - 3.3 Discrete-Time Fourier Transform (DTFT). - 3.3.1 An Example of DTFT Converging in the Mean-Square Sense. - 3.3.2 Line Spectra. - 3.3.3 Inverse DTFT. - 3.3.4 Selected DTFT Properties. - 3.3.5 The DTFT of a Finite-Length Causal Sequence. - 3.4 Discrete Fourier Series (DFS). - 3.4.1 Selected DFS Properties. - 3.4.2 Sampling in the Frequency Domain and Aliasing in the Time Domain. - 3.5 Discrete Fourier Transform (DFT). - 3.5.1 The Inverse DFT in Terms of the Direct DFT. - 3.5.2 Zero Padding. - 3.5.3 Selected DFT Properties. - 3.5.4 Circular Convolution Versus Linear Convolution. - 3.6 Fast Fourier Transform (FFT). - 3.7 Discrete Trigonometric Expansion. - 3.8 Appendix: Mathematical Foundations of Signal Representation. - 3.8.1 Vector Spaces. - 3.8.2 Inner Product Spaces. - 3.8.3 Bases in Vector Spaces. - 3.8.4 Signal Representation by Orthogonal Bases. - 3.8.5 Signal Representation by Standard Bases. - 3.8.6 Frames and Biorthogonal Bases. - 3.8.7 Summary and Complements. - References. - 4 Sampling of Continuous-Time Signals. - 4.1 Chapter Summary. - 4.2 Sampling Theorem. - 4.3 Reconstruction of a Continuous-Time Signal from Its Samples. - 4.4 Aliasing in the Frequency Domain and Anti-Aliasing Filter. - 4.5 The Uncertainty Principle for the Analog Fourier Transform. - 4.6 Support of a Continuous-Time Signal in the Time and Frequency Domains. - 4.7 Appendix: Analog and Digital Frequency Variables. - References. - 5 Spectral Analysis of Deterministic Discrete-Time Signals. - 5.1 Chapter Summary. - 5.2 Issues in Practical Spectral Analysis. - 5.2.1 The Effect of Windowing. - 5.2.2 The Effect of Spectral Sampling. - 5.3 Classical Windows. - 5.4 The Kaiser Window. - 5.5 Energy and Power Signals and Their Spectral Representations. - 5.6 Correlation of Deterministic Discrete-Time Signals. - 5.6.1 Correlation of Energy Signals. - 5.6.2 Correlation of Power Signals. - 5.6.3 Effect of an LTI System on Correlation Properties of Input and Output Signals. - 5.7 Wiener-Khinchin Theorem. - 5.7.1 Energy Signals and Energy Spectrum. - 5.7.2 Power Signals and Power Spectrum. - References. - PART 2 DIGITAL FILTERS. - 6 Digital Filter Properties and Filtering Implementation. - 6.1 Chapter Summary. - 6.2 Frequency-Selective Filters. - 6.3 Real-Causal-Stable-Rational (RCSR) Filters. - 6.4 Amplitude Response. - 6.5 Phase Response. - 6.5.1 Phase Discontinuities and Zero-Phase Response. - 6.5.2 Linear Phase (LP). - 6.5.3 Generalized Linear Phase (GLP). - 6.5.4 Constraints on GLP Filters. - 6.6 Digital Filtering Implementation. - 6.6.1 Direct Forms. - 6.6.2 Transposed-Direct Forms. - 6.6.3 FIR Direct and Transposed-Direct Forms. - 6.6.4 Direct and Transposed-Direct Forms for LP FIR Filters. - 6.6.5 Cascade and Parallel Forms. - 6.7 Zero-Phase Filtering. - 6.8 An Incorrect Approach to Filtering. - 6.9 Filtering After Downsampling. - 6.9.1 Theory of Downsampling. - 6.9.2 An Example of Filtering After Downsampling. - References. - 7 FIR Filter Design. - 7.1 Chapter Summary. - 7.2 Design Process. - 7.3 Specifications of Digital Filters. - 7.3.1 Constraints on the Magnitude Response. - 7.3.2 Constraints on the Phase Response. - 7.4 Selection of Filter Type: IIR or FIR?. - 7.5 FIR-Filter Design Methods and Approximation Criteria. - 7.6 Properties of GLP FIR Filters. - 7.6.1 Factorization of the Zero-Phase Response. - 7.6.2 Zeros of the Transfer Function. - 7.6.3 Another Form of the Adjustable Term. - 7.7 Equiripple FIR Filter Approximations: Minimax Design. - 7.8 Predicting the Minimum Filter Order. - 7.9 MPR Algorithm. - 7.10 Properties of Equiripple FIR Filters. - 7.11 The Minimax Method for Bandpass Filters. - References. - 8 IIR Filter Design. - 8.1 Chapter Summary. - 8.2 Design Process. - 8.3 Lowpass Analog Filters. - 8.3.1 Laplace Transform. - 8.3.2 Transfer Function and Design Parameters. - 8.4 Butterworth Filters. - 8.5 Chebyshev Filters. - 8.5.1 Chebyshev-I Filters. - 8.5.2 Chebyshev-II Filters. - 8.6 Elliptic Filters. - 8.7 Normalized and Non-normalized Filters. - 8.8 Comparison Among the Four Analog Filter Types. - 8.9 From the Analog Lowpass Filter to the Digital One. - 8.9.1 Bilinear Transformation. - 8.9.2 Design Procedure. - 8.9.3 Examples. - 8.10 Frequency Transformations. - 8.10.1 From a Lowpass to a Highpass Filter. - 8.10.2 From a Lowpass to a Bandpass Filter. - 8.10.3 From a Lowpass to a Bandstop Filter . - 8.11 Direct Design of IIR Filters. - 8.12 Appendix. - 8.12.1 Trigonometric Functions with Complex Argument. - 8.12.2 Elliptic Integrals. - 8.12.3 Jacobi Elliptic Functions. - 8.12.4 Landen-Gauss Transformation. - 8.12.5 Elliptic Rational Function. - References. - PART 3 SPECTRAL ANALYSIS. - 9 Statistical Approach to Signal Analysis. - 9.1 Chapter Summary. - 9.2 Preliminary Considerations. - 9.3 Random Variables. - 9.4 Ensemble Averages. - 9.5 Stationary Random Processes and Signals. - 9.6 Ergodicity. - 9.7 Wiener-Khinchin Theorem for Random Signals and Power Spectrum. - 9.8 Cross-Power Spectrum of Two Random Signals. - 9.9 Effect of an LTI System on a Random Signal. - 9.10 Estimation of the Averages of Ergodic Stationary Signals. - 9.10.1 General Concepts in Estimation Theory. - 9.10.2 Mean and Variance Estimation. - 9.10.3 Autocovariance Estimation. - 9.10.4 Cross-Covariance Estimation. - 9.11 Appendix: A Road Map to the Analysis of a Data Record. - References. - 10 Non-Parametric Spectral Methods. - 10.1 Chapter Summary. - 10.2 Power Spectrum Estimation. - 10.3 Periodogram. - 10.3.1 Bias. - 10.3.2 Variance. - 10.3.3 Examples. - 10.3.4 Variance Reduction by Band- and Ensemble-Averaging. - 10.4 Bartlett’s Method. - 10.5 Modified Periodogram. - 10.6 Welch’s Method. - 10.7 Blackman-Tukey Method. - 10.8 Statistical Significance of Spectral Peaks. - 10.9 MultiTaper Method. - 10.10 Estimation of the Cross-Power Spectrum of Two Random Signals. - 10.11 Use of the FFT in Power Spectrum Estimation. - 10.12 Power Spectrum Normalization. - References. - 11 Parametric Spectral Methods. - 11.1 Chapter Summary. - 11.2 Signals with Rational Spectra . - 11.3 Stochastic Models and Processes. - 11.3.1 Autoregressive-Moving Average (ARMA) Model. - 11.3.2 Autoregressive (AR) Model. - 11.3.3 Moving Average (MA) Model. - 11.3.4 How the AR and MA Modeling Approaches Are Theoretically Related. - 11.3.5 First-Order AR and MA Models: White, Red and Blue Noise. - 11.3.6 Higher-Order AR Models. - 11.4 The AR Approach to Spectral Estimation. - 11.5 AR Modeling and Linear Prediction. - 11.6

Note: Contents ISOLA Code for Multiple-Point Source Modeling—Review / Jiří Zahradník and Efthimios Sokos Seismic Moment Tensors in Anisotropic Media: A Review / Václav Vavryčuk The Frequency-Domain Moment-Tensor Inversion: Retrieving the Complete Source Moment-Tensor Spectra and Time Histories / Xiaoning Yang, Brian W. Stump and Mason D. Macphail Berkeley Seismic Moment Tensor Method, Uncertainty Analysis, and Study of Non-double-couple Seismic Events / Douglas S. Dreger Estimating Stability and Resolution of Waveform Inversion Focal Mechanisms / S. Scolaro, C. Totaro, D. Presti, Sebastiano D’Amico, G. Neri and B. Orecchio The Method of Cataclastic Analysis of Discontinuous Displacements / Yu. L. Rebetsky and A. Yu. Polets Challenges in Regional Moment Tensor Resolution and Interpretation / Simone Cesca and Sebastian Heimann The Role of Moment Tensors in the Characterization of Hydraulic Stimulations / Ismael Vera Rodriguez, James Rutledge and Sergey Stanchits Constrained Moment Tensors: Source Models and Case Studies / Jan Šílený Seismic Deformation Derived from Moment Tensor Summation: Application Along the Hellenic Trench / Anastasia Kiratzi, Christoforos Benetatos and Filippos Vallianatos Estimation of Empirical Green’s Tensor Spatial Derivative Elements: A Preliminary Study Using Strong Motion Records in Southern Fukui Prefecture, Japan / Michihiro Ohori Retrieval of the Seismic Moment Tensor from Joint Measurements of Translational and Rotational Ground Motions: Sparse Networks and Single Stations / Stefanie Donner, Heiner Igel, Céline Hadziioannou and the Romy group Overview of Moment Tensor Analysis in New Zealand / John Ristau Applications of Moment Tensor Solutions to the Assessment of Earthquake Hazard in Canada / J. F. Cassidy, H. Kao, John Ristau and A. Bent Intraplate Earthquakes in Europe—Source Parameters from Regional Moment Tensor Analysis / Jochen Braunmiller Source Characteristics of the January 8, 2013 (M W = 5.7) and May 24, 2014 (M W = 6.8) North Aegean Earthquakes Sequence / Doğan Kalafat, Kıvanç Kekovalı and Ali Pınar Investigating the Focal Mechanisms of the August 4th, 2003, Mw 7.6, South Orkney Islands Earthquake and its Aftershocks Sequence / M. P. Plasencia Linares, M. Guidarelli, M. Russi and G. F. Panza Waveform Modelling of 2009 Bhutan Earthquake of Magnitude 6.1 (Mw) Using Local Network Data of North East India / Santanu Baruah and Midusmita Boruah Resolving the Tectonic Stress by the Inversion of Earthquake Focal Mechanisms. Application in the Region of Greece. A Tutorial / Ioannis G. Kassaras and Vasilis Kapetanidis Relative Locations of Clustered Earthquakes in the Sea of Marmara and States of Local Stresses in the East of the Central Marmara Basin / Yasemin Korkusuz Öztürk and Nurcan Meral Özel Focal Mechanisms of Earthquakes and Stress Field of the Earth Crust in Azerbaijan / G. J. Yetirmishli and S. E. Kazimova Seismotectonic Crustal Strains of the Mongol-Baikal Seismic Belt from Seismological Data / Alena Seredkina and Valentina Melnikova The Stress State of Seismic Areas of the Central and East Asia / Yu. L. Rebetsky, A. Yu. Polets, O. A. Kuchay and N. A. Sycheva The Significance of Crustal Velocity Model in Moment Tensor Solutions: A Case Study of Yedisu Earthquakes / Fatih Turhan, Musavver Didem Cambaz and Jiří Zahradník An Overview of the Seismicity and Tectonics of the Black Sea / Doğan Kalafat Coulomb Stress Changes in the Area of December 2013–January 2014 Sannio-Matese Seismic Sequence (Southern Italy) / Santanu Baruah and Sebastiano D’Amico Active Faulting in the Earth’s Crust of the Baikal Rift System Based on the Earthquake Focal Mechanisms / Vladimir A. Sankov and Anna A. Dobrynina Quaternary Stress Field and Faulting in the Western Part of the Catanzaro Trough (Calabria, Southern Italy) / F. Brutto, F. Muto, M. F. Loreto, Sebastiano D’Amico, N. De Paola, V. Tripodi and S. Critelli A Seismogenic Zone Model for Seismic Hazard Studies in Northwestern Africa / J. A. Peláez, J. Henares, M. Hamdache and C. Sanz de Galdeano A Trial Modeling of Perturbed Repeating Earthquakes Combined by Mathematical Statics, Numerical Modeling and Seismological Observations / Keisuke Ariyoshi, Shunichi Nomura, Naoki Uchida and Toshihiro Igarashi Getting Started with GMT: An Introduction for Seismologists / Matthew R. Agius Devices for a Rotational Ground Motion Measurement / Leszek R. Jaroszewicz and Anna Kurzych

Note: Contents Part I Setting the Scene The Anthropocene—What Does It Entail for Science? / Gesche Krause The Role of Knowledge Exchange in Earth System Science—The Earth System Knowledge Platform (ESKP) / Gesche Krause, Ute Münch, Jana Kandarr, Oliver Jorzik and Pia Klinghammer The AWI Approach at the Science-Stakeholder Interface / Gesche Krause, Klaus Grosfeld and Wolfgang Hiller Part II Dialogue Approaches of ESKP Contributions to AWI Knowledge Transfer Regional Awareness on Sea Level Rise Effects—What Do We Know About the South-Eastern North Sea Coast? / Nina Eschweiler, Tobias Dolch and Christian Buschbaum Climate Change and Biodiversity—Implications for the Local Fisheries Sector / Christina Hörterer, Maximilian Schupp, Andreas Benkens and Bela H. Buck Linking Biodiversity Research Communities / Sonja Knapp, Alexandra Kraberg, Stephan Frickenhaus, Stefan Klotz, Oliver Schweiger and Gesche Krause Engaging Forecast Users During the Year of Polar Prediction / Winfried Hoke, Kirstin Werner, Helge Goessling and Thomas Jung Governance of Resources for Arctic Sustainable Policy and Practice (GRASP)—Stakeholder Mapping / Sebastian Knecht, Andreas Herber and Kathrin Stephen Building Bridges at the Arctic Science-Policy Interface / Volker Rachold Part III Data-Products of ESKP Contributions to AWI Knowledge Transfer The Web Portal ‘meereisportal.de’ in Context of ESKP / Klaus Grosfeld, Renate Treffeisen, Jölund Asseng and Georg Heygster Knowledge Transfer by the Global Terrestrial Network for Permafrost (GTN-P) / Boris K. Biskaborn and Hugues Lantuit A Web-Based Information System for Macrobenthic Biodiversity in the German North Sea / Jan M. Holstein Tackling Marine Litter—LITTERBASE / Melanie Bergmann, Mine B. Tekman, Andreas Walter and Lars Gutow Part IV Modelling Approaches of ESKP Contributions to AWI Knowledge Transfer Arctic Sea Ice Change, Large-Scale Atmospheric Circulation Patterns and Extreme Climate and Weather in Europe / Ralf Jaiser and Dörthe Handorf Extending and Visualizing the TsunAWI Simulation Database of the Indonesia Tsunami Early Warning System (InaTEWS) / Antonia Immerz, Sven Harig and Natalja Rakowsky Streamflow Forecasting and Biodiversity / Monica Ionita, Madlene Pfeiffer and Stephan Frickenhaus Part V Pathways to Formalizing Knowledge Transfer Accompanying ESKP Projects—Development of a Process Assessment Strategy Within ESKP@AWI / Gesche Krause and Maximilian Felix Schupp Science and Society—The Time to Interact / Gesche Krause, Klaus Grosfeld and Annette Breckwoldt Erratum to: A Web-Based Information System for Macrobenthic Biodiversity in the German North Sea / Jan M. Holstein

Note: Contents: Introduction ; Natural Disasters in Developing Countries ; Experiencing Natural Disasters: How This Influences Risk Aversion and Trust ; The Demand for Microinsurance Products Against Disaster Risk ; Going Forward: Building Resilience with Microinsurance ; Conclusion

Note: Contents: 1 The ecosystem of Kongsfjorden, Svalbard / Haakon Hop and Christian Wiencke Part I. Atmospheric conditions 2 The atmosphere above Ny-Ålesund : climate and global warming, ozone and surface UV radiation / Marion Maturilli, Inger Hanssen-Bauer, Roland Neuber, Markus Rex, and Kåre Edvardsen Part II. Oceanography, sea ice and underwater light regime 3 The Kongsfjorden Transect : seasonal and inter-annual variability in hydrography / Vigdis Tverberg, Ragnheid Skogseth, Finlo Cottier, Arild Sundfjord, Waldemar Walczowski, Mark E. Inall, Eva Falck, Olga Pavlova, and Frank Nilsen 4 Changes in sea-ice extent and thickness in Kongsfjorden, Svalbard (2003-2016) / Olga Pavlova, Sebastian Gerland, and Haakon Hop 5 The underwater light climate in Kongsfjorden and its ecological implications / Alexey K. Pavlov, Eva Leu, Dieter Hanelt, Inka Bartsch, Ulf Karsten, Stephen R. Hudson, Jean-Charles Gallet, Finlo Cottier, Jonathan H. Cohen, Jørgen Berge, Geir Johnsen, Marion Maturilli, Piotr Kowalczuk, Sławomir Sagan, Justyna Meler, and Mats A. Granskog Part III. Pelagic production, phytoplankton and zooplankton 6 Phytoplankton seasonal dynamics in Kongsfjorden, Svalbard and the adjacent shelf / Else N. Hegseth, Philipp Assmy, Józef M. Wiktor, Józef Wiktor Jr., Svein Kristiansen, Eva Leu, Vigdis Tverberg, Tove M. Gabrielsen, Ragnheid Skogseth, and Finlo Cottier 7 Zooplankton in Kongsfjorden (1996-2016) in relation to climate change / Haakon Hop, Anette Wold, Mikko Vihtakari, Malin Daase, Slawomir Kwasniewski, Marta Gluchowska, Silke Lischka, Friedrich Buchholz and Stig Falk-Petersen Part IV. Benthic microbes, macroalgae and fauna 8 Living on cold substrata : new insights and approaches in the study of microphytobenthos ecophysiology and ecology in Kongsfjorden / Ulf Karsten, Iris Schaub, Jana Woelfel, Duygu S. Sevilgen, Carolin Schlie, Burkhard Becker, Angela Wulff, Martin Graeve, and Heiko Wagner 9 Biodiversity of benthic macro- and microalgae from Svalbard with special focus on Kongsfjorden / Stein Fredriksen, Ulf Karsten, Inka Bartsch, Jana Woelfel, Miriam Koblowsky, Rhena Schumann, Siri Røang Moy, Robert S. Steneck, Józef M. Wiktor, Haakon Hop, and Christian Wiencke 10. Kelps and environmental changes in Kongsfjorden : Stress perception and responses / Kai Bischof, Christian Buschbaum, Stein Frederiksen, Francisco J. L. Gordillo, Sandra Heinrich, Carlos Jiménez, Cornelius Lütz, Markus Molis, Michael Y. Roleda, Max Schwanitz, and Christian Wiencke 11. Ecological drivers of and responses by Arctic benthic communities, with an emphasis on Kongsfjorden, Svalbard / Markus Molis, Frank Beuchel, Jürgen Laudien, Maria Włodarska-Kowalczuk, and Christian Buschbaum Part V. Arctic fjord ecosystem model and autonomous marine observatories. 12. Outline of an Arctic fjord ecosystem model for Kongsfjorden-Krossfjorden, Svalbard / Pedro Duarte, Jan Marcin Weslawski, and Haakon Hop 13. Autonomous marine observatories in Kongsfjorden, Svalbard / Haakon Hop, Finlo Cottier, and Jørgen Berge Part VI. Kongsfjorden as harbinger of the future Arctic 14. Kongsfjorden as harbinger of the future Arctic : knowns, unknowns and research priorities / Kai Bischof, Peter Convey, Pedro Duarte, Jean-Pierre Gattuso, Maria Granberg, Haakon Hop, Clara Hoppe, Carlos Jiménez, Leonid Lisitsyn, Brezo Martinez, Michael Y. Roleda, Peter Thor, Józef M. Wiktor, and Geir Wing Gabrielsen