Range and Doppler ambiguities are common in radar, lidar, and acoustic systems. Resolving these ambiguities is important to achieve desirable geolocation and image quality performance in these systems. A new method is described to iteratively resolve the ambiguities. For Doppler ambiguity applications, a first PRF value and an initial Doppler frequency search window are selected. A new PRF is determined based on the ratio of the initial search window to the first PRF. The radar data of the first pair of PRF's is used to determine two modulo Doppler estimates. The modulo Doppler estimates are used to determine a new Doppler estimate with a confidence interval smaller than the first search window. The ratio of the new Doppler search window to the first PRF, is used to determine the next PRF. This process is iterated until the new Doppler search window is less than the first PRF.