Cdex, Inc. (fka CDEX)

[capnmike]

CDEX uses Fast Fourier transforms, which have been described as the most important numerical algorithm[s] of our lifetime.

complex-data FFTs are so closely related to algorithms for related problems such as real-data FFTs, discrete cosine transforms, discrete Hartley transforms, and so on, that any improvement in one of these would immediately lead to improvements in the others (Duhamel & Vetterli, 1990).

http://en.wikipedia.org/wiki/Fast_Fourier_transform

Fast Fourier Transform simplified
‘Despite its strong bonds with Electrical Engineering , Fourier Analysis has nevertheless become indispensable’ in Quantum Physics, Biomedicine ,Oceanography , Civil Engineering , Mechanical Vibrations , Signal Processing , Computational Chemistry , Error Correcting Codes , Image Compression .. etc.

http://www.scribd.com/doc/33921253/Fast-Fourier-Transform

The properties tell us how the Fourier transform changes when the original signal undergoes certain changes. They are generally derived by going back to the definitions and manipulating the equations appropriately.

(this document also helped me get a very rough layman's guess/understanding of time domain vs frequency domain)
.....Fourier transform as a mapping from input signals (the time-domain representation) to output signals (the frequency domain representation)

http://www.princeton.edu/~cuff/ele201/kulkarni_text/frequency.pdf

My best guess is this is all about increased speed in getting the output signals. Just a guess. I think the portion of this I find most interesting, CDEX using the three optical processes TOGETHER/simultaneously, is shown in figure 6 at a high level. Still very unique from what I have compared elsewhere.

CDEX figures are helpful in seeing procedural sequence
CDEX figure 3 = Fast Fourier transforms
figure 6 depicts determination of Raman energy, determination of fluorescent energy, and determination of spectral reflected energy

http://www.freepatentsonline.com/20130120741.pdf

http://www.freepatentsonline.com/y2013/0120741.html

CDEX ValiMed G4 acceptance in the marketplace should tell if I am correct that this appears to be unique, elegant, and valuable IP.