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This course covers the fundamental methods used for exploring the information content of observations related to kinematical and dynamical models

FREE
This course includes
Hours of videos

944 years, 4 months

Units & Quizzes

34

Unlimited Lifetime access
Access on mobile app
Certificate of Completion

Course Currilcum

  • Table of Contents Unlimited
  • Preface Unlimited
    • 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
    • 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