And just to revive a very old thread because this information is relevant for all users regardless when the display problem first was posted—
I'll add this to the conversation:
• Monitor: 2008 Samsung 21" using DVI.
• Computer 1: 2007 Mac Mini, Snow Leopard 10.6.8.
• Computer 2: 2010 Mac Mini. Snow Leopard (10.6.8) one partition, El Capitan (10.11.6) the other partition.
For me, the wake from sleep white noise only occurs (for 5-8 seconds) on the 2010 Mac mini with a hdmi>DVI adapter running Snow leopard.
When the same 2010 Mac mini is booted into El Capitan, (instead of SL) the wake from sleep is fine. No noise.
The 2007 MacMini has no problems either.
So it's not a monitor problem.
Nor is it specifically an OS problem
Nor is it specifically a hardware problem.
Nor an adapter problem.
It's a combo