We present two related techniques to measure the two-point correlation
function and the power spectrum with edge correction in any spatial dimensions.
The underlying algorithm uses fast Fourier transforms for calculating the
two-point function with an heuristically weighted edge corrected estimator.
Once the correlation function is measured, we estimate the power spectrum via
numerical integration of the Hankel transform connecting the two. We introduce
an efficient numerical technique based on Gauss-Bessel-quadrature and double
exponential transformation. This, combined with our, or any similar, two-point
function estimator leads to a novel edge corrected estimator for power spectra.
The pair of techniques presented are the Euclidean analogs of those developed
and widely used in cosmic microwave background research for spherical maps.Comment: 4 pages, 2 figures, submitted to ApJ