There are several synonyms that can be used for the term "active loudspeaker". One alternative is "powered speaker", which refers to speakers that have built-in amplifiers that power the sound output. Another term is "self-amplified speaker", which also denotes speakers with a self-contained amplification system. "Amplified PA speaker" can also be used, as these types of speakers are commonly seen in public address systems. "Active monitor speaker" is another synonym, as these speakers are designed for use in recording studios and other audio production environments. Lastly, the term "active speaker system" can also be used, which is a term that refers to any speaker system that includes built-in amplification.