In one aspect, the invention relates to an ultrasound imaging system that includes an ultrasound receiver configured to receive ultrasound signals scattered from a sample in real time; an acoustic beam former; and an ultrasound data demodulation system. In one embodiment, the ultrasound imaging system further includes a processing system configured to process demodulated scan data and perform ultrasound image generation and flow processing and a display configured to show ultrasound image data and blood flow velocity data relative to such image data. Signals that include positive flow information and negative flow information are separated from received signals using phase-filters and analytic signal transforms such that a first and a second autocorrelation signal processing stage is used to generate mean positive flow, mean negative flow, and variance data for such flows.