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We use data from the first-year (Y1) observations of the DES collaboration tomeasure the galaxy angular power spectrum (APS), and search for its BAO featureusing a template-fitting method. We test our methodology in a sample of 1800DES Y1-like mock catalogs. The APS is measured with the pseudo-$C_\ell$ method,using pixelized maps constructed from the mock catalogs and the DES mask. Thecovariance matrix of the $C_\ell$'s in these tests are also obtained from themock catalogs. We use templates to model the measured spectra and estimatetemplate parameters firstly from the $C_\ell$'s of the mocks using twodifferent methods, a maximum likelihood estimator and a MCMC, findingconsistent results with a good reduced $\chi^2$. Robustness tests are performedto estimate the impact of different choices of settings used in our analysis.After these tests on mocks, we apply our method to a galaxy sample constructedfrom DES Y1 data specifically for LSS studies. This catalog comprises galaxieswithin an effective area of 1318 deg$^2$ and $0.6<z<1.0$. We fit the observedspectra with our optimized templates, considering models with and without BAOfeatures. We find that the DES Y1 data favors a model with BAO at the$2.6\,\sigma$ C.L. with a best-fit shift parameter of $\alpha=1.023\pm 0.047$.However, the goodness-of-fit is somewhat poor, with $\chi^2/$(dof) = 1.49. Weidentify a possible cause of this issue and show that using a theoreticalcovariance matrix obtained from $C_\ell$'s that are better adjusted to dataresults in an improved value of $\chi^2/$(dof) = 1.36 which is similar to thevalue obtained with the real-space analysis. Our results correspond to adistance measurement of $D_A(z_{\rm eff} = 0.81)/r_d = 10.65 \pm 0.49$,consistent with the main DES BAO findings. This is a companion paper to themain DES BAO article showing the details of the harmonic space analysis.

Dark Energy Survey Year 1 Results: Measurement of the Galaxy Angular Power Spectrum