Interferogram spectrum reconstruction using modern spectral estimation

In this paper, we first discussed basic spectral estimation concepts and algorithms, then pointed out that the conventional spectrum reconstruction algorithm is virtually the same with Blackman-Tukey (BT) algorithm in spectral estimation. Then we use two different method (Auto-Regressive parametric model and eigenvector spectral estimation method) to reconstruct light spectrum from interferogram, and compared the results with conventional method for spectrum reconstruction. From the comparison we concluded that the modern spectrum estimation methods can well be adopted in Fourier Transform (FT) spectrum reconstruction and would perform excellent, especially when to get higher spectrum resolution from a short series of data recorded. Later we discussed the disadvantages and restrictions of the two methods used in the simulation. From these results and discussions, we suggested to implement various new spectral estimation method in FT spectrum reconstruction to get better performance.