Apple TV airplay Stuttering on Yosemite
A possible workaround for the airplay/wifi issues is to use the following terminal command

sudo ifconfig awdl0 down 

This will disable AWDL &amp; Airdrop but will allow you to have bluetooth on with airplay...

sudo ifconfig awdl0 up 

will re-enable.

Credit to Mario Ciabarra who detailed the problem and solution in his blog post.

Another workaround that may be of benefit to some is to make sure ATV software is up to date, and then switch off bluetooth while using Airplay. This resolves the problem for me.

Also, I seem to get best results when in extended desktop mode instead of mirrored although I haven't tested it really. This was definitely the case in Mavericks.

Hope that helps!