Abstract: The use of complex analysis enables enable various new methods and strategies for the identification of a RF transmission source in a radar detector. The incoming signal (13) is processed using complex signal representations (I, Q), allowing for the recognition of signal patterns in the radio spectrum which may be hidden by conventional methods using only demodulation of signals which are in-phase with a local oscillator. The additional signal information can aid in overcoming signal and noise discrimination challenges faced by radar detectors using traditional band-limited, scalar sampling strategies, including the challenge of discriminating between police radar signals and other radar sources that utilize signals in the same frequency ranges (e.g., radar door openers, traffic sensors, vehicle-based collision avoidance, cruise control, blind spot monitor emitters).