A sort buffer includes a phase sector determination circuit, a phase sector update circuit, and a phase sector completion circuit. The phase sector determination circuit is configured to determine a phase sector corresponding to a phase of a first sine and cosine sample pair received from an encoder or resolver. The phase sector update circuit is configured to determine whether a second sine and cosine sample pair corresponding to the phase sector is stored in a lookup table (LUT) and, in response to a determination that a second sine and cosine sample pair corresponding to the phase sector is not stored in the LUT, store the first sine and cosine sample pair in the LUT. The phase sector completion circuit is configured to determine whether the LUT has stored, for each of a plurality of phase sectors, a corresponding sine and cosine sample pair.