Gm. Raz et Bd. Vanveen, BASEBAND VOLTERRA FILTERS FOR IMPLEMENTING CARRIER BASED NONLINEARITIES, IEEE transactions on signal processing, 46(1), 1998, pp. 103-114
A diagonal coordinate representation for Volterra filters is developed
and exploited to derive efficient Volterra filter implementations for
processing carrier based input signals, In the diagonal coordinate re
presentation, the output is expressed as a sum of linear filters appli
ed to modified input signals, Hence, linear filtering methods are empl
oyed to implement the nonlinear filter on a baseband version of the in
put, Downsampling is then used to reduce computational complexity. The
same approach is employed to develop efficient implementations for pr
ocessing continuous-time carrier-based signals, pulse amplitude-modula
ted signals, and frequency division multiplexed input signals.