There will continue to be over the air broadcasts but they will be digital transmissions,not the old analogue signals. I copied the following from Wikipedia:
"DTV has several advantages over traditional, analog TV, the most significant being that digital channels take up less bandwidth (and the bandwidth needs are continuously variable, at a corresponding cost in image quality depending on the level of compression). This means that digital broadcasters can provide more digital channels in the same space, provide High-definition television service, or provide other non-television services such as multimedia or interactivity. DTV also permits special services such as multiplexing (more than one program on the same channel), electronic program guides and additional languages, spoken or subtitled. The sale of non-television services may provide an additional revenue source. In many cases, viewers perceive DTV to have superior picture quality, improved audio quality, and easier reception than analog.
However, DTV picture technology is still in its early stages. DTV images have some picture defects that are not present on analog television or motion picture cinema, due to present-day limitations of bandwidth and compression algorithms such as MPEG-2.
When a compressed digital image is compared with the original program source, some hard-to-compress image sequences may have digital distortion or degradation."
This of course means HDTV will be offered almost everywhere and transmissions can be made in wide-screen 16:9 format rather than the old 4:3 format.