The radio in my 90 Accord in cutting in and out.  It will play for a while
and then cut out (like it was turned off).  It will then come on again a few
minutes later, play for a while, and then cut out, etc.  My first thought
was that it was a loose wire or cold solder joint (a common problem, so I've
read).  So I took it out and resoldered all the connections to the plug
receptacle, but to no avail.  One other thing I've noticed is when it cuts
out it does not reset the station presets.  So the cut-out is more like it
was just turned off at the switch, rather than unplugged from the power
source.

Any ideas what might be going and whether it fixable?  (Time for a new
radio?)

Thanks for any help/advice.

Pat