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We investigate the impact of instrumental systematic errors ininterferometric measurements of the cosmic microwave background (CMB)temperature and polarization power spectra. We simulate interferometric CMBobservations to generate mock visibilities and estimate power spectra using thestatistically optimal maximum likelihood technique. We define a quadratic errormeasure to determine allowable levels of systematic error that do not inducepower spectrum errors beyond a given tolerance. As an example, in this study wefocus on differential pointing errors. The effects of other systematics can besimulated by this pipeline in a straightforward manner. We find that, in orderto accurately recover the underlying B-modes for r=0.01 at 28<l<384,Gaussian-distributed pointing errors must be controlled to 0.7^\circ rms for aninterferometer with an antenna configuration similar to QUBIC, in agreementwith analytical estimates. Only the statistical uncertainty for 28<l<88 wouldbe changed at ~10% level. With the same instrumental configuration, we find thepointing errors would slightly bias the 2-\sigma upper limit of thetensor-to-scalar ratio r by ~10%. We also show that the impact of pointingerrors on the TB and EB measurements is negligibly small.

Maximum likelihood analysis of systematic errors in interferometric observations of the cosmic microwave background