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A model for determining the cross-correlation function of partially correlated noise is presented. In this model a strong interferer is included and represented by a periodic signal common to both channels of the correlator. A general expression for the correlation function is deduced and verified. The power spectrum of a calculated correlation function is compared with a simulation. The results presented in this paper form a base for the design of modern multibit correlators. These are part of future generation radio astronomy receivers which increasingly have to cope with man-made interfering signals.