Does a PS2 Rock Band guitar controller work with the PS3 Guitar Hero games, and if so, how do I connect it?

A family friend had a PS2 Rock Band drum kit and guitar controller lying around, and I bought them off of him. The drums aren't a problem, but the guitar controller won't connect. I plugged in the USB transceiver, checked the batteries, checked the power switch, but it still won't connect. Any reasons?

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