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The power spectrum of redshifted 21 cm emission brightness temperaturefluctuations is a powerful probe of the Epoch of Reionization (EoR). However,bright foreground emission presents a significant impediment to its unbiasedrecovery from interferometric data. We build on the Bayesian power spectralestimation methodology introduced in Sims et al. 2016 and demonstrate thatincorporating a priori knowledge of the spectral structure of foregrounds inthe large spectral scale component of the data model enables significantlyimproved modelling of the foregrounds without increasing the model complexity.We explore two astrophysically motivated parametrisations of the large spectralscale model: (i) a constant plus power law model of the form$q_{0}+q_{1}(\nu/\nu_{0})^{b_{1}}$ for two values of $b_{1}$: $b_{1} =<\beta>_\mathrm{GDSE}$ and $b_{1} = <\beta>_\mathrm{EGS}$, the mean spectralindices of the Galactic diffuse synchrotron emission and extragalactic sourceforeground emission, respectively, and (ii) a constant plus double power lawmodel of the form $q_{0}+q_{1}(\nu/\nu_{0})^{b_{1}}+q_{2}(\nu/\nu_{0})^{b_{2}}$with $b_{1} = <\beta>_\mathrm{GDSE}$ and $b_{2} = <\beta>_\mathrm{EGS}$. Weestimate the EoR power spectrum from simulated interferometric data consistingof an EoR signal, Galactic diffuse synchrotron emission, extragalactic sourcesand diffuse free-free emission from the Galaxy. We show that, by jointlyestimating a model of the EoR signal with the constant plus double power lawparametrisation of the large spectral scale model, unbiased estimates of theEoR power spectrum are recoverable on all spatial scales accessible in the dataset, including on the large spatial scales that were found to be contaminatedin earlier work.

Joint estimation of the Epoch of Reionization power spectrum and foregrounds