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. (C) 2010 Elsevier B.V. All rights reserved.