  The problem of geolocation of a transmitter via time difference of arrival
(TDOA) and frequency difference of arrival (FDOA) is given as a system of
polynomial equations. This allows for the use of homotopy continuation-based
methods from numerical algebraic geometry. A novel geolocation algorithm
employs numerical algebraic geometry techniques in conjunction with the random
sample consensus (RANSAC) method. This is all developed and demonstrated in the
setting of only FDOA measurements, without loss of generality. Additionally,
the problem formulation as polynomial systems immediately provides lower bounds
on the number of receivers or measurements required for the solution set to
consist of only isolated points.
