I suspected there may be a poor connection in the power supply; pulled radio out, no obvious prob. Phoned the dealer who fitted the radio, to see about replacing it on warranty. They suggested I take it in. So I did.
Cutting to the chase.... the car has a master cut-off switch on the battery earth supply. The fuse for the radio is mounted on the earth line which connects to the cut-off switch. The fuse had blown, and the radio continued working through the earth on the aerial line. Only not working very well, of course.
Here endeth this lesson learned

