Finding the Bandwidth of PSK Signal

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I've got a signal and I would like to find the 3 dB bandwidth. The signal has a center frequency of [tex]f_{c}[/tex] and a has a bandwidth shaping filter applied to it (ie, a root raised cosine filter).

The problem with finding the bandwidth, is that I have no equation for representing a PSK signal. For this reason, I can't take the Fourier transform to get the spectrum. If I could take the Fourier transform, then I could find the bandwidth, but this seems to be a necessary step that I'm unable to take.
 

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