Fiber-optic filters can be used for processing wideband radio-frequency, mi
crowave, and millimetric signals directly in the optical domain avoiding co
stly electrooptic and optoelectronic conversions. Because these filters sum
signals on an intensity basis, they are bound to be positive and, hence, h
eavily restricted in their achievable performance. Nevertheless, such filte
rs are the only choice because positivity is a consequence of the underlyin
g physical mechanism. In this paper, the authors present a new design metho
dology to realize an arbitrary filter as a difference of two positive filte
rs, thus overcoming any performance limitation.