I fully agree with jtt283. If you're using a good-quality UPS that is ALWAYS providing output power and recharging itself, that unit should be all the protection you need from power supply noise and spikes. However, low-cost UPS units are available that only keep themselves charged and do NOT supply any output when line power is available. In "normal" circumstances they just allow the power supply lines to feed directly through to the load, with some filtering to remove power line spikes. The filtering may or may not be very good. These units attempt to detect a power supply failure very quickly and switch the load from power line direct feed to UPS output feed so that the load is kept running smoothly.
Read the specifications of your UPS very carefully to determine how good it is in preventing power line noise, spikes and sags from reaching the load, and whether it is always on. A good unit, especially one that does deliver clean sine way output, probably does all of this well.