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

0

3

English

English [CC]

FREE

Description

Course content

  • Frequency Domain Formulation Unlimited
  • Fourier Transforms and Delta Functions Unlimited
  • Fourier Series and Time-Limited Functions Unlimited
  • The Sampling Theorem Unlimited
  • Discrete Observations Unlimited
  • Aliasing Unlimited
  • Discrete Fourier Analysis Unlimited
  • Identities and Difference Equations Unlimited
  • Circular Convolution Unlimited
  • Fourier Series as Least-Squares Unlimited
  • Stochastic Processes Unlimited
  • Spectral Estimation Unlimited
  • The Blackman-Tukey Method Unlimited
  • Colored Processes Unlimited
  • The Multitaper Idea Unlimited
  • Spectral Peaks Unlimited
  • Spectrograms Unlimited
  • Effects of Timing Errors Unlimited
  • Cross-Spectra and Coherence Unlimited
  • Simulation Unlimited
  • Time Domain Methods Unlimited
  • Representations-1 Unlimited
  • Geometric Interpretation Unlimited
  • Representations-2 Unlimited
  • Spectral Estimation from ARMA Forms Unlimited
  • Karhunen-Loève Theorem and Singular Spectrum Analysis Unlimited
  • Wiener and Kalman Filters Unlimited
  • Gauss-Markov Theorem Unlimited
  • Trend Determination Unlimited
  • EOFs, SVD Unlimited
  • Examples of Applications in Climate Unlimited
  • References Unlimited

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Instructor

Massachusetts Institute of Technology
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