How general are adaptive-filtering techniques? [closed]

1. How does adaptive filtering work?
2. How adaptive filter can be used as noise cancellation?
3. How does adaptive algorithm work?
4. What are types of adaptive filters?

How does adaptive filtering work?

Adaptive filters are digital filters whose coefficients change with an objective to make the filter converge to an optimal state. The optimization criterion is a cost function, which is most commonly the mean square of the error signal between the output of the adaptive filter and the desired signal.

How adaptive filter can be used as noise cancellation?

The adaptive noise cancellation system assumes the use of two microphones. A primary microphone picks up the noisy input signal, while a secondary microphone receives noise that is uncorrelated to the information bearing signal, but is correlated to the noise picked up by the primary microphone.

How does adaptive algorithm work?

An adaptive algorithm is an algorithm that changes its behavior at the time it is run, based on information available and on a priori defined reward mechanism (or criterion).

What are types of adaptive filters?

The classical configurations of adaptive filtering are system identification, prediction, noise cancellation, and inverse modeling.