1. A method for operating a range-gated Doppler radar in the presence of pulsed interference, the method comprising: receiving, with a radar antenna, reflected radar radiation; processing the received reflected radar radiation with a radar front-end processor to form a return vector, the return vector being a vector of range-gated radar returns; identifying the index k of an element, of the return vector, corrupted by pulsed interference; forming a first reduced progressive phasor vector, equal to the result of removing at least the k th element from a first full progressive phasor vector, the first full progressive phasor vector being a vector of complex numbers, the arguments of the elements of the first full progressive phasor vector being a linear function of their respective positions in the first full progressive phasor vector, the linear function having a slope proportional to a center frequency of a first Doppler filter; forming a reduced-rank overall covariance matrix equal to the result of removing at least the k th row and at least the k th column from a full-rank overall covariance matrix, the full-rank overall covariance matrix being equal to an identity matrix plus a weighted sum of one or more specific covariance matrices including a specific covariance matrix for ground clutter; and calculating a first reduced vector of weights for the first Doppler filter, the matrix product of the reduced overall covariance matrix and the first reduced vector of weights being equal to the first reduced progressive phasor vector.