  The Digital Correlated Double Sampling (DCDS) is a technique based on
multiple analog-to-digital conversions of every pixel when reading a CCD out.
This technique allows to remove analog integrators, simplifying the readout
electronics circuitry. In this work, a theoretical framework that computes the
optimal weighted coefficients of the pixels samples, which minimize the readout
noise measured at the CCD output is presented. By using a noise model for the
CCD output amplifier where white and flicker noise are treated separately, the
mathematical tool presented allows for the computation of the optimal samples
coefficients in a deterministic fashion. By modifying the noise profile, our
simulation results get in agreement and thus explain results that were in
mutual disagreement up until now.
