Overview of the methodology presented below. We apply the formalism for discrete angular power spectra in three distinct ways: (i) Exact spherical harmonic coefficients can be computed from the discrete data, without the use of maps. In turn, angular power spectra can be computed from combinations of spherical harmonic coefficients. (ii) The angular power spectra themselves can be computed from the discrete data. This is inefficient for practical computation, but makes it possible to obtain exact expressions for the expected spectra. (iii) The discrete data can be turned into maps, and subsequently into spherical harmonic coefficients by means of a spherical harmonic transform. This can yield the same results as the discrete transformation.