Towards a higher degree F-transform

The aim of this study is to show how the F-transform technique can be generalized from the case of constant components to the case of polynomial components. After a general presentation of an F m - transform, m ≥ 0 , a detailed characterization of the F 1 - transform is given. We apply a numeric integration technique in order to simplify the computation of F 1 - transform components. The inverse F m - transform, m > 0 , is defined similarly to the ordinary inverse F-transform. The quality of approximation using the inverse F m - transform increases with an increase in m.