The system for three-dimensional rendering of signals has a computer system having acquired, streaming, or previously stored data in its memory representing multiple channels of signals in which each channel has a value which varies over a domain, e.g., time or frequency, and a display coupled to the computer. For each channel, the computer system segments the data of the channel into segments, orders the segments, renders on the display each of the segments, in which each of the rendered segments are aligned in such order along a three-dimensional perspective with gaps between adjacently rendered segments, and lines are rendered extending from each line of each one of the rendered segments to form a three-dimensional plane in the gap to the next successive one of the rendered ordered segments to form a three-dimensional continuous or discontinuous surface characterizing the channel. The surfaces of each of the channels are aligned on the display, and may be of different color, shading, and translucency, whereby channels of overlaid surfaces are viewable on the display.