Systems and methods are disclosed for synchronization and positioning, one of which comprises determining a first phase offset for a known signal received at a first antenna by plotting a first arbitrary set of phase corrections and finding a phase offset corresponding to a greatest reflectional symmetry within the first arbitrary set of phase corrections, determining a second phase offset for a known signal received at a second antenna by plotting a second arbitrary set of phase corrections and finding a phase offset corresponding to a greatest reflectional symmetry within the second arbitrary set of phase corrections, calculating an angle of arrival for the known signal from the transmitter based on the first and the second phase offset for the known signal as received at the first antenna and the second antenna, and calculating a positioning vector for a direction of the transmitter.