I do not know the sites, where these signals are available for free downloads. Usually I will try to establish the contacts with experimentalists that work in some interesting areas of physics, chemistry and solve their problems that they have. 

Do you require 'truth' data too?

See ... 

https://www.researchgate.net/post/Does_anyone_know_a_program_to_fit_a_Gaussian_expansion_to_a_Slater_function

You might be able to help each other!

 Dear Hugh Lachlan Kennedy!

Thank you very much but this is not a similar problem!

Yes, I think that the Hugh's answer is not relevant. Any model data created by PC program can serve as the test digital signals. I support my previous opinion: any interesting treatment of real data is really interesting! Moving in this direction one can have a possibilitity to find some hidden physical\chemical effects. 

Mr. Dubrovkin,

You can download UV,IR,Raman data, and Chromatograms from NIST, for example. The website is: http://webbook.nist.gov/chemistry/

The format of the files is *.jdx, which can be opened by JCAMP-DX Data Viewer. It can be downloaded (free of charge) from the following web-site:

http://www.science.widener.edu/~bramer/jcamp/jdxmirror.html#32bit.

The *.jdx format can be converted into ASCIIs via GRAMS/AI (http://www.thermoscientific.com/en/product/grams-ai-spectroscopy-software.html) or Essential FTIR (for IR) (http://www.essentialftir.com/), however they are not free of charge.

Please bear in mind that such as chemometric analysis we have performed toward, for example, IR-spectra in [ref. 1-3], Raman spectra [Ref.2-5], UV-VIS, CD and fluorescence spectra in [Ref. 6], and chromatograms [Ref.5]. As far as the UV-patterns are symmetric the Gaussian function fits well the results, however for Raman and Chromatograms (often), we have used mixed-functions (Gauss-Lorentz) along with Boltzmann function (mixed to it also) and more. In addition we have tested the effect of smoothing using different approaches (Savitzky-Golay, Adjacent-averaging), signal-to-noise ratio, deconvolution as approach for determination of the number of sub-bands and more. The shown examples are only few ones.

[Ref. 1] Ivanova, B.; Tsalev, D.; Arnaudov, M. (2006) Validation of reducing-difference procedure for the interpretation of non-polarized infrared spectra of n-component solid mixtures, Talanta 69, 822-828.

[Ref. 2] Koleva, B.; Kolev, T.M.; Spiteller, M. (2008) Determination of cephalosporins in solid binary mixtures by polarized IR- and Raman spectroscopy, Journal of Pharmaceutical and Biomedical Analysis 48, 201-204.

[Ref. 3] Koleva, B.; Kolev, T.; Tsalev, D.; Spiteller, M. (2008) Determination of phenacetin and salophen analgetics in solid binary mixtures with caffeine by infrared linear dichroic and Raman spectroscopy

Journal of Pharmaceutical and Biomedical Analysis 46, 267-273.

[Ref. 3.] Lamshoft, M.; Ivanova, B.; Spiteller, M. (2011) Chemical identification and determination of sulfonamides in n-component solid mixtures within THz-region-solid-state Raman spectroscopic and mass spectrometric study, Talanta, 85, 2562-2575.

[Ref. 4] Ivanova, B., Spiteller, M. (2012) On the chemical identification and determination of flavonoids in solid-state, Talanta, 94C, 9-21

[Ref. 5] Ivanova, B., Spiteller, M. (2012) Quantitative solid-state Raman spectroscopic method for control of fungicides, Analyst, 137, 3355-3364

[Ref. 6] Ivanova, B., Spiteller, M. (2012) Quantitative analysis of the substituted N,N-dimethyl-tryptamines in the presence of natural alkaloids of type XII Natural Product Communications, 7(10) 1273-1276

Dear Dr. Bojidarka B. Ivanova!

Very useful answer! 

Regards, Joseph

you can download FTIR and FTRaman spectra in www.riodbol.ibase.net it give structure and some data as well as some information for your  experimental  work and theoretical work in gaussian