Signals & Systems I: Uncertainty Relations and Gaussian Impulse

This lecture covers the uncertainty relations in signals and systems, focusing on the time-frequency localization and equivalent duration and bandwidth. It also delves into Gaussian impulse functions and their differential equations, as well as the pseudo-probability density and dispersion measurements. The instructor demonstrates the Heisenberg uncertainty relation and Gabor functions, emphasizing the strict equality of the Cauchy-Schwarz inequality in signal processing.