As someone who is pure CS who hated EE, I now work in an EE shop as the only programmer performing most of the PC based DSP work, and the only thing I would recommend is this, <a href="http://www.dspguide.com/pdfbook.htm" rel="nofollow">http://www.dspguide.com/pdfbook.htm</a>.
More introductory DSP for non-EE people:<p><a href="http://jackschaedler.github.io/circles-sines-signals/" rel="nofollow">http://jackschaedler.github.io/circles-sines-signals/</a><p><a href="http://dsp.cs.cmu.edu/" rel="nofollow">http://dsp.cs.cmu.edu/</a>