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[New approach to resolution enhancement of Fourier transform spectrum]
Ying Dong1, Li-bin Xiang, Bao-chang Zhao
1Department of Precision Instruments and Mechanics, Tsinghua University, Beijing 100084, China.
Abstract:
Treating resolution enhancement of Fourier transform spectrum as the estimations of harmonic frequencies and amplitudes in the interferogram, the method based on eigenvalue analysis and linear fitting (EALF) was brought forward. EALF was divided into three steps: parameter estimation with total least squares, frequency estimation with eigenvalue analysis, and amplitude estimation with least squares fitting. The principle of the method was introduced. Computer experiment was presented to validate the principle. Characteristics of the method were discussed. The main advantages of EALF over alternative approaches to resolution enhancement of Fourier transform spectrum were summarized.