It would be helpful to get more details on the "meaning" of the imaging model, equation (2). I think I get the model for m_hat (eqn (1)): basically, change the illumination abit, transform the image, convolve with the PSF to model the optics, then down-sample.

But I am not clear on how we go from that, to the equation for the nth image (eqn (2)).

Sorry for the late question . If you don't get to it, I won't mind.