A radar system for detecting positions of targets using a high resolution algorithm is presented. The number of incorrect target detections due to incorrect estimation of the number of radar reflections is reduced. A two-dimensional (azimuth and distance) peak having maximum power is detected, and a virtual beam formed centering on that peak. If that two-dimensional peak is buried in the virtual beam it is assumed to be a noise peak and removed. This is repeated for all two-dimensional peaks, thereby removing noise peaks and reducing the number of unnecessary target detections. The system can also correctly detect peaks that are close together at a certain resolution but have a power larger than the virtual beam.