Reducing image noise in the Canon XH A1

The Canon XH A1 is not very old, but it is tape-based, which today seems quaint and dated! However, the camera shoots excellent images and its 20x zoom lens remains amazing. ¬†Even at 1440×1080 HDV, it shoots sharper and lower noise images than most of the consumer 1920×1080 camcorders. But when comparing to my Lumix GH-2 in daylight, the XH-A1 has some image noise that resembles film graininess. Some people actually...