In the problem of localizing the position of a point object over a metal reflecting surface, the application of an ultra-wideband signal in the centimeter wavelength range is analyzed using the method of signal recirculation in the loops of spatial recirculation of «emitter – target receiving element of antenna array emitter." The determination of the object coordinate over the metal surface is based on the calculation of the generalized correlation integral in spectral form for the frequency coefficients of the recirculation loops over all receiving elements, taking into account the coordinates of the true object, its mirror reflection and the reference point of space. The comparison of sounding results in the presence and absence of recirculation is given.