Find one of those DTV converter boxes that were sold at the time of analog to digital TV conversion - best source probably rummage or garage sale; don't pay more than $20 for one at EBay or Amazon. Hook it up to your antenna (assuming the issue here is inability to record *BROADCAST* TV - cable people usually require you to use their own DVRs) and the recorder; most of the boxes had a RF output settable to channel 3 or 4 and composite video/sound outputs, like an old cable box. The box converts DTV from your antenna to analog standard def (not great, but OK for some things) which can then be recorded. Works fine with my VCR for time-shifting sports and the like.
DVR as described in the article is the more general and far better-quality option, of course.