How do I bandpass a signal in Mathematica 8

Question

I would like to use the bandpassing function that is available in newer versions of Mathematica but not Mathematica 8:

BANDPASSALPHA[x_] := 
 BandpassFilter[x, {8 Pi, 13 Pi}, SampleRate -> 500]

Is there a pice of custom code that would allow me to do this?

A crude filtering could be done with Fourier, a window and InverseFourier. If you want to use specific FIR/IIR filters with certain guarantees of performance in the pass/stop bands, then you're going to have to write a lot of the code yourself. If you have access to MATLAB (and the DSP toolbox), then I suggest using the functions from it in Mathematica 8. — rm -rf, Commented Sep 15, 2014 at 0:07
@rm-rf If you have time would you outline the steps that would need to be implemented for the accurate Mathematica 8 solution? — Mr.Wizard, Commented Sep 15, 2014 at 3:40
@Mr.Wizard No, sorry. It's a lot of time commitment and detail that's well beyond the scope of this site. OP still hasn't replied to my question re: MATLAB. If that's the case, then the second example here would be the best way to proceed. — rm -rf, Commented Sep 15, 2014 at 4:44
@rm-rf It sounds like you are already familiar with the process and I meant only a very brief outline. Nevertheless I completely understand you not wanting to take time for it, whatever the amount. — Mr.Wizard, Commented Sep 15, 2014 at 5:07

Igor Rivin · Accepted Answer · 2014-09-15 01:32:46Z

4

There is a paper by Slaney from 1989 with quite detailed code for filter design.

answered Sep 15, 2014 at 1:32

Igor Rivin

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