The "sound system" is a full amplifier and speaker sound system that receives line level audio from the radio system, while the "active bass" is a normal radio system with add-on front door woofers having a separate amplifier. It consists of additional woofers in the front doors which are powered by a separate amplifier in the trunk. It is otherwise a normal radio system with the rest of the speakers powered by the radio chassis in the usual manner. The bass amplifier gets its audio signal from the normal analog speaker output. On vehicles with a fader knob, I think it is wired to the center of the fader. The amplifier gets a turn on signal in the same manner as the antenna and the sound system stereo amps in a "sound system" equipped vehicle.
Do note that the door speakers in "sound system" and "active bass" equipped vehicles differ greatly in electro-acoustic properties and impedance so much so that they cannot be intermixed with, be replaced by, or replace the door speakers of a "sound system" equipped vehicle. Sometimes you can tell them apart easily enough because the "sound system" door speakers are open behind the drivers and vented to the interior of the door, while the "active bass" woofers are sealed to the inside of the door, but have a tuning port on the bottom. In general, they were pretty appalling, often being overbearing and loud compared to the rest of the radio system, especially if you like louder volume levels. These can be tamed by selective insertion of 300 to 500 ohms of resistance in the left and right audio input lines for the amplifier.