Estimation of spectral slit width and blind deconvolution of spectroscopic data by homomorphic filtering

A numerical method is developed to estimate the spectral slit width of a spectrophotometer which degrades the spectral resolution of the measured data. The slit width is estimated from the measured spectrum in certain conditions. This method is based on homomorphic filtering and utilizes the cepstrum of the average log Fourier spectrum of the section spectra. Computer simulations and experimental examples for infrared absorption spectra of ammonia gas demonstrate the potential of the method for practical applications to the preprocessing of deconvolution. A blind deconvolution method is also examined through the experimental result with an ammonia gas spectrum.