The Rodale Institute has been working on this in a thirty year trial. Their rotation is complex and they are not strictly no till. Tilling once in seven years or so is part of the system. Bringing cover crops or hay into the rotation will certainly help reduce weed pressure.
http://rodaleinstitute.org/our-work/farming-systems-trial/farming-systems-trial-the-farming-systems/
They also pioneered the roller crimper
.
https://www.youtube.com/watch?v=PW4mwVJPS9A | 
Has anyone ever grew organic crops without tillage?
