A design method for parallel recursive least square adaptive Volterra filter

The adaptive Volterra filter (AVF), based on the discrete Volterra series, has been used to identify a nonlinear system, remove nonlinear distortion etc. Since AVF is an extension of conventional linear digital filters, the algorithms used in linear filters are easily used in AVF, and AVF is enough approximate to complicated systems due to its general function expansion. However, when long filter length is considered, or when high-order nonlinear characteristics are filtered, the computational complexity of AVF becomes extremely large and may be infeasible in real time applications with today´s technology. This paper presents a type of parallel adaptive Volterra filter (PAVF) to decrease the calculation complexity. Finally, to demonstrate the effectiveness of the proposed method, several results of computer simulation are presented.