I guess the power supply is not so great on that unit, if it 'requires' a perfect sine wave. However, you can get true sine wave output(<5% THD) on APC's SmartUPS series of UPS units. You can get these starting at just a few hundred dollars. The lower cost BackUPS series uses 'stepped' sine wave output with much higher distortion. I have used both on a sensitive graphics monitor, and the BackUPS makes the monitor hum when on back-up power. The SmartUPS operates it on back-up power just like a normal connection to the wall socket.
-Chris