Adaptive algorithms that restore signal properties

This paper introduces the concept of designing adaptive filtering algorithms to exploit the presence of some invariant property possessed by a signal of interest. If this invariant property is disturbed by the interference or dispersion which degrades the signal´s quality, and if the disturbance can be sensed, then it can be used to guide an adaptive algorithm. Certain analytic requirements on this type of algorithm are discussed as well as their relation to well-known least squares and MSE algorithms.