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Related lectures (10)
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Vibration of Diatomic Molecules
Explores the vibration of diatomic AB molecules and Fourier series, emphasizing equations of motion and Dirichlet's theorem.
DFT definition: Fourier Basis and Basis Expansion
Covers the DFT definition, Fourier Basis, basis expansion, and signal representation.
Fourier Series: Complex Case
Covers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.
Signals & Systems I: Cross-Correlation and Convolution
Explores cross-correlation, signal detection, Hilbert spaces, orthogonal approximation, and image compression using DCT.
Finite Elements Method: Error Estimation
Explores a priori error estimation in the finite elements method, covering convergence analysis, orthogonality, weak formulations, and optimal precision.
Vector Representation of Signals
Explores the vector representation of signals, orthogonal functions, and Fourier series.
Signal Representations
Covers signal representations using Fourier transforms and projection theorems in the time-frequency plane.
Boundary Conditions and Basis Decomposition
Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.
Signals & Systems I: Vector Approximation and Signal Comparison
Explores vector approximation, signal detection, correlation, Fourier series, and signal comparison in signals and systems.
Fourier Series: Parseval Identity
Covers Fourier series, Parseval identity, orthonormal basis, and Oude equation motivation.
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