J. Bak, Rapid method for simulating gas spectra using reversed PCR temperature calibration models based on Hitran data, APPL SPECTR, 53(11), 1999, pp. 1375-1381
A computer program was produced to make rapid simulations of CO gas spectra
at a spectral resolution of 1 cm(-1) and at temperatures ranging from 295
to 845 K and concentrations from 5 to 400 mg/m(3). The program is based on
loadings and scores from three principal component regression (PCR) tempera
ture calibration models. Three sets of 12 Hitran-simulated high-density spe
ctra, each set spanning the entire temperature range at constant concentrat
ions (50, 150, and 300 mg/m(3)), were used as calibration spectra in the PC
R temperature models. All the spectra were convoluted with a sine-squared i
nstrumental line-shape function and reduced in the number of data points pr
ior to PCR modeling. The simulated spectra, calculated on the basis of the
PCR model parameters, were next scaled by using the areas of the spectra to
represent the input concentration. The program simulates spectra very rapi
dly, similar to 7 ms, which includes saving the simulated spectrum counting
962 data points to the hard disk. This is an improvement in computational
speed of a factor of more than 10(3) compared to performing all the calcula
tions from scratch. The actual program can be used to simulate CO spectra r
epresenting a uniform slab of gas at various temperatures, concentrations,
and pathlengths. The gain in speed of the calculations of the spectra is ba
sed on the fact that the PCR models include mathematical pretreatments and
compress the data effectively.