Trigonometric Interpolation: Approximation of Periodic Functions and Signals

This lecture covers the topic of trigonometric interpolation, focusing on the approximation of periodic functions and signals using distinct and equally spaced nodes. The instructor explains the use of Chebyshev-Gauss-Lobatto nodes to mitigate the Runge phenomenon and stability issues in polynomial interpolation. The lecture also delves into the stability of the interpolating polynomial and the behavior of the error function for increasing values of n.