On the advice of Mercedes Technical they have tried several things and have now ordered a replacement roof antenna which they are fitting tomorrow. I will let you know the outcome.
Sadly this is likely to do nothing. This is because the roof antenna is for L Band DAB (and the windscreen antenna is for Band III.
All UK transmissions are on Band III.
Do you have any chargers plugged in or wired into the cigarette lighters? (such as a speed camera detector USB thing, or tom-tom power supply etc)
Cheers
Richard