Localization techniques of radio emitters are widely used in civil and military applications. In civilian systems, the positioning of user equipment in mobile networks is one of the basic functionalities on which many modern telecommunications services are based. In military systems, the location of radio emitters is one of the main tasks performed by reconnaissance and electronic warfare systems. For these latter, the signal Doppler frequency (SDF) method was developed. SDF allows the emitter localization by a single sensor. In this method, the radio signal processing technique is based on an overlapping algorithm, which was introduced two years ago. In this paper, we present a novel two-stage overlapping algorithm, which relates to the processing of IQ radio signal samples and then to a data vector with determined Doppler frequency shift values. The proposed solution ensures greater accuracy in positioning the emitter using the SDF.