Historical point of interest: the Big Ear telescope that recorded this was bulldozed to make way for a golf course.
http://www.bigear.org/about.htm
The Big Ear telescope "was larger than three football fields in size and equivalent in sensitivity to a circular dish 52.5 meters (175 feet) in diameter. The telescope consisted of a flat tiltable reflector measuring 340 feet long by 100 feet high (less when tilted), a fixed standing paraboloidal (curved) reflector which measured 360 feet long by 70 feet high, an aluminum-covered ground plane measuring 360 feet wide by 500 feet long, and two feed horns mounted on a movable assembly."
Obviously, an awful lot of pre-processing has to be done to get this down to a manageable data volume for analysis (100s of TBs), but if something gets lost in processing in the early stages, it's gone forever. Even managing and archiving the processed datasets will be a challenge.
Oh, and the second stage of the project was going to add 100x to those data volume numbers.