Trigonometric Interpolation: Approximation of Periodic Functions and Signals

Related lectures (29)

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Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.

Covers piecewise polynomial interpolation with splines, focusing on Lagrange interpolation with Chebyshev nodes and error convergence.

Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.

Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.

Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.

Provides an overview of polynomial interpolation techniques in numerical analysis, focusing on Lagrange interpolation and error estimation methods.

Explores numerical differentiation methods and round-off errors in computer computations.

Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.

Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.

Covers Lagrange interpolation as a unique polynomial of degree 2N through 2N + 1 points.