There is existing work on testing the feasibility of impersonating other person's voice. We discuss them in our related work section at the end of the paper.
I think on the long run, SAS will no longer be a sufficient authentication technique due to advances in speech synthesis. To prolong ZRTP's life we propose usage of sentences instead of words/chars. This is discussed in detail in our best practices section.
I noticed that UX/UI is important and a guarantee that SAS should increase in length, what are some of the recommendations that you advise to have a good ZRTP implementation ?
Or should we start discussing the fadeoff of ZRTP and a change to something like Matrix protocol or even Signal's one ?
I know Signal attempts to prevent any data leakage by forcing the Opus codec to use a constant bitrate instead of its default VBR -- I'm not sure if Matrix implements anything similar yet.
Deep learning and ability to train on a specific callers' voice [1] then mimic it might be an interesting attack vector. In practice Silent Circle's implementation does something interesting and instead of SAS numbers use dictionary words. So you end up with something like "Pink Elephant Salad". Could probably MitM that. However callers are then supposed to make some extra puns or discuss it a bit and say something like "Ha-ha! Wonder how tasty the an elephant salad would be". And if after MitM-ing, the string to the other side was "Plastic Blue Llamas" then a MitM attack becomes more obvious.
[1] http://research.baidu.com/deep-voice-production-quality-text...