       Sorting into bins

• To: mathgroup at smc.vnet.net
• Subject: [mg119630] Sorting into bins
• From: Hugh Goyder <h.g.d.goyder at cranfield.ac.uk>
• Date: Wed, 15 Jun 2011 07:20:03 -0400 (EDT)

```I wish to sort a list of {{x,y}...} values into uneven bins using the
x values to locate the bin but have the bins contain the y values.
This seems like an application for BinLists but it only seems to work
on a list of x values. The motivation is to give a spectra in terms of
1/3 octaves which is a standard presentation in acoustics. Below I
construct the bin center frequencies cf, the bin boundaries bb and
generate a time history th,  spectra, yy and corresponding frequencies
xx. How do I then sort the list into my bins?

Thanks
Hugh Goyder

cf = Table[(1/100.) Round[100 (1000/1024) 2^n], {n, 1, 15, 1/3}];
bb = Table[Sqrt[cc[[i]]*cc[[i + 1]]], {i, 1, Length[cc] - 1}];
sr = 60000.;
th = Table[y, {y, 0, 1, 1/sr}]; n = Length[th];
yy = Take[
Fourier[th, FourierParameters -> {1, -1}], {1, Ceiling[n/2]}];
xx = Table[f, {f, 0, sr/2, sr/n}];
data = Transpose[{xx, yy}];

```

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