Fourier incoherent single channel holography (FISCH) is a method for recording spatially incoherent digital Fourier holograms. We present a general design of enhanced FISCH with a smaller optical path difference between interfering beams, when compared to our initial design [Opt. Lett. 37, 3723]. This reduction enables a proper system operation with a wider bandwidth. Potential resolution enhancement of the images reconstructed from the FISCH holograms consequentially follows.