Subject: When we have REM sleep what type brain waves(alpha or beta)we have?

From the sources I have read I have come to know that REM sleep is a 
paradoxical sleep.REM sleep brain waves look similar to the brain wave activity 
pattern of people who are awake. But does this awake state mean the Beta 
activity state or the alpha activity state (that is charecteristic of the first 
stage of sleep)during which any person is awake?

Then if the person is wide awake (the EEG records beta type of brain waves) 
what type of brain waves will he have if he gets emotional?  I suppose that the 
waves will be high frequency and low amplitude waves?  But do such waves have 
any name?(like alpha, beta, theta,delta.....?)

Thanks.

Re: When we have REM sleep what type brain waves(alpha or beta)we have?