Another neat program for spectral analysis is Sonic Visualiser.
http://www.sonicvisualiser.org/
It's free and open source.
With some tweaking its built-in spectrogram functionality is almost as good as that of CoolEdit Pro / Audition, even though it is not quite as customizable (color presets not editable, no dynamic range adjustment, no gamma adjustment)
The program is extensible through plugins, though I haven't tested any of those. Yet. <insert maniacal laughter here>
I've attached a Session Template to this post with settings I find to be suitable for source analysis. Extract it to
%userprofile%\.Sonic Visualiser\templates and load it via
File->Apply Session Template->Waveform and per-channel Spectrograms
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