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This course covers the fundamental methods used for exploring the information content of observations related to kinematical and dynamical models
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English
English [CC]
FREE
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Description
Course content
- Table of Contents Unlimited
- Preface Unlimited
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- Frequency Domain Formulation Unlimited
- 1.1 Fourier Transforms and Delta Functions Unlimited
- 1.2 Fourier Series and Time-Limited Functions Unlimited
- 1.3 The Sampling Theorem Unlimited
- 1.4 Discrete Observations Unlimited
- 1.5 Aliasing Unlimited
- 1.6 Discrete Fourier Analysis Unlimited
- 1.7 Identities and Difference Equations Unlimited
- 1.8 Circular Convolution Unlimited
- 1.9 Fourier Series as Least-Squares Unlimited
- 1.10 Stochastic Processes Unlimited
- 1.11 Spectral Estimation Unlimited
- 1.12 The Blackman-Tukey Method Unlimited
- 1.13 Colored Processes Unlimited
- 1.14 The Multitaper Idea Unlimited
- 1.15 Spectral Peaks Unlimited
- 1.16 Spectrograms Unlimited
- 1.17 Effects of Timing Errors Unlimited
- 1.18 Cross-Spectra and Coherence Unlimited
- 1.19 Simulation Unlimited
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- Time Domain Methods Unlimited
- 2.1 Representations-1 Unlimited
- 2.2 Geometric Interpretation Unlimited
- 2.3 Representations-2 Unlimited
- 2.4 Spectral Estimation from ARMA Forms Unlimited
- 2.5 Karhunen-Loève Theorem and Singular Spectrum Analysis Unlimited
- 2.6 Wiener and Kalman Filters Unlimited
- 2.7 Gauss-Markov Theorem Unlimited
- 2.8 Trend Determination Unlimited
- 2.9 EOFs, SVD Unlimited
- Examples of Applications in Climate Unlimited
- 3.1 References Unlimited
Instructor
Massachusetts Institute of Technology
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