Abstract

Numerical methods are proposed for expanding the dynamic range and increasing the quantization resolution of Fourier transform infrared spectrum data. In these methods, an interferogram is oversampled at a rate higher than the Nyquist sampling rate. From the oversampled interferogram data, the full-range interferogram or the lost quantization bits are recovered by using the Gerchberg-Papoulis iterative algorithm, in-corporating constraints on the amplitude range of the interferogram and on the band limitation and non-negativity of the spectrum. Experimental results for IR absorption spectra of cyclohexene are shown in order to demonstrate the capabilities of the methods.

Dynamic range enhancement of Fourier transform infrared spectrum measurement using delta sigma modulation

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Zero-crossing sampling of Fourier-transform interferograms and spectrum reconstruction using the real-zero interpolation method

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Quantization error and dynamic range considerations for compressive imaging systems design

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Cong Gao, Jianhua Mao, and Ren Chen
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