Transform-domain polynomial filtering

Polynomial filters are nonlinear systems whose output is a truncated Volterra series expansion of the input or it is the solution of a recursive nonlinear difference equation [1], [2], [3]. In this paper, for implementing polynomial filters, the framework of transform-domain digital signal processing is considered. This approach, due to recent advances in time-recursive evaluation of signal transforms [4], seems to be useful in a large variety of applications.