Quadratic filters
B. Picinbono · 2005
Quadratic filters are the simplest non linear time-invariant systems and correspond to the second term of the Volterra expansion. Such filters are completely defined by their kernel which is a symmetric finite or infinite square matrix. Some examples are presented. The harmonic representation of such filters is discussed and also the calculation of the statistical properties of the output in the case of a Gaussian input. Finally some problems of implementation of such filters are discussed.