To attenuate white noise, nonstationary noise and impulse noise are importa
nt for signal processing. In this letter, we present nonlinear fusion filte
rs (NFF) based on prediction and smoothing. By means of least square fittin
g of a polynomial, we define and give the operators of left prediction and
right prediction, left smoothing and right smoothing, central smoothing and
cross-validation smoothing. in simulated experiments, it is shown that the
present method is an effective one.