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Optimal signal processing of nonlinearity in swept-source and spectral-domain optical coherence tomography

机译：扫频和谱域光学相干层析成像中非线性的最佳信号处理

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摘要

We demonstrate the efficiency of the convolution using an optimized Kaiser-Bessel window to resample nonlinear data in wavenumber for Fourier-domain optical coherence tomography (OCT). We extend our previous experimental demonstration that was performed with a specific swept-source nonlinearity. The method is now applied to swept-source OCT data obtained for various simulated swept-source nonlinearities as well as spectral-domain OCT data obtained from both simulations and experiments. Results show that the new optimized method is the most efficient for handling all the different types of nonlinearities in the wavenumber domain that one can encounter in normal practice. The efficiency of the method is evaluated through comparison with common methods using resampling through interpolation prior to performing a fast-Fourier transform and with the accurate but time-consuming discrete Fourier transform for unequally spaced data, which involves Vandermonde matrices.
机译：我们演示了使用优化的Kaiser-Bessel窗口对傅里叶域光学相干断层扫描（OCT）的波数中的非线性数据进行重采样的卷积效率。我们扩展了先前的实验演示，该演示是通过特定的扫频源非线性进行的。该方法现已应用于为各种模拟扫频源非线性而获得的扫频源OCT数据，以及从仿真和实验中获得的频谱域OCT数据。结果表明，这种新的优化方法是处理波数域中所有正常实践中可能遇到的所有不同类型非线性的最有效方法。通过与在执行快速傅立叶变换之前通过插值进行重采样的常规方法进行比较，并与涉及范德蒙德矩阵的不等距数据进行精确但费时的离散傅里叶变换进行比较，可以评估该方法的效率。

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