Christopher Jefferies said the "horrifying experience" of his arrest led him to believe that suspects should not be named unless they are charged with an offence.
He said that during the nine weeks he spent on bail it was impossible for him to return to his flat or live "anything approaching a normal life".
I think that would be certainly an important step and it would prevent a great deal, certainly, of the distress which happened to members of my family, quite apart from what happened to me, because I think one shouldn't underestimate the way in which their lives were changed during the days that I was in custody as a result of the media harassment and the media intrusion.
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Police are trying to find the driver of the car following the incident in Kingfisher Close, Brownhills.
An unnamed man died at the scene, while a woman was pronounced dead after being taken to St George's Hospital, Tooting, south-west London.
Eastern areas will see a few showers coming in on the northeasterly breeze