A new approach to processing and displaying received Doppler signals is disclosed. This approach starts with a set of N power spectra corresponding to each of N times. Those power spectra are then used to create of set of pixels for display with respect to an X axis and a Y axis so that the X coordinate of each pixel in the set corresponds to a time and the Y coordinate of each pixel in the set corresponds to a quantized power level. An attribute (e.g., color or intensity) of each pixel in the set is set to represent the highest velocity for the time-and-quantized-power-level combination that corresponds to the X and Y coordinates of each pixel in the set.