This lecture explains the concept of adaptive echo cancellation, a technique used to eliminate unwanted echoes in hands-free telephone conversations. The instructor covers the process of estimating and subtracting the echo from the return path of the signal using an adaptive filter, highlighting the challenges of time-varying impulse responses and the need for LMS filters to track signal changes. Through a detailed explanation and a simple block diagram example, the lecture demonstrates how the LMS adaptation quickly converges to minimize errors, even when the echo function changes, showcasing the effectiveness of echo cancellation techniques.