1. An apparatus comprising: a storage device; a receiver configured to receive a component signal representative of a digitally filtered frequency-limited band obtained from a quasi-periodic waveform, wherein the component signal includes a plurality of component values; and means for reducing the plurality of component values into a fractional-phase representation of the component signal having a plurality of fractional phases, and wherein each fractional phase is associated with a phase label and includes one or more values representing at least one of an abscissa and an ordinate for each of one or more local cycles of the component signal, and for storing the fractional-phase representation on the storage device.