Thresholding the Radon-Wigner transform (RWT) followed by filtered bac
kprojection to the time-frequency plane reduces noise and cross-term p
ower for multicomponent linear-FM signals. Although the RWT is bilinea
r, it may be calculated as the magnitude-squared of two linear functio
ns. In this paper, we derive a linear synthesis algorithm from the RWT
and demonstrate its efficacy.