Flying College, Binzhou University, Binzhou 256600, China.
Aeronautic Information Technology Research Center, Binzhou University, Binzhou 256600, China.
Sensors (Basel). 2018 May 7;18(5):1455. doi: 10.3390/s18051455.
Previous research has shown that the effectiveness of selecting filter sets from among a large set of commercial broadband filters by a vector analysis method based on maximum linear independence (MLI). However, the traditional MLI approach is suboptimal due to the need to predefine the first filter of the selected filter set to be the maximum ℓ₂ norm among all available filters. An exhaustive imaging simulation with every single filter serving as the first filter is conducted to investigate the features of the most competent filter set. From the simulation, the characteristics of the most competent filter set are discovered. Besides minimization of the condition number, the geometric features of the best-performed filter set comprise a distinct transmittance peak along the wavelength axis of the first filter, a generally uniform distribution for the peaks of the filters and substantial overlaps of the transmittance curves of the adjacent filters. Therefore, the best-performed filter sets can be recognized intuitively by simple vector analysis and just a few experimental verifications. A practical two-step framework for selecting optimal filter set is recommended, which guarantees a significant enhancement of the performance of the systems. This work should be useful for optimizing the spectral sensitivity of broadband multispectral imaging sensors.
先前的研究表明，通过基于最大线性独立性（MLI）的向量分析方法从大量商业宽带滤波器中选择滤波器组是有效的。然而，由于需要预先定义所选滤波器组的第一个滤波器为所有可用滤波器中最大的 ℓ₂ 范数，因此传统的 MLI 方法并不理想。通过对每个滤波器都作为第一个滤波器的情况进行详尽的成像模拟，研究了最有竞争力的滤波器组的特征。从模拟中发现了最有竞争力的滤波器组的特征。除了条件数的最小化之外，性能最佳的滤波器组的几何特征包括沿第一个滤波器的波长轴的明显透射峰、滤波器峰值的一般均匀分布以及相邻滤波器的透射曲线的大量重叠。因此，通过简单的向量分析和少量的实验验证就可以直观地识别出性能最佳的滤波器组。建议采用实用的两步框架来选择最佳的滤波器组，这可以保证系统性能的显著提高。这项工作对于优化宽带多光谱成像传感器的光谱灵敏度应该是有用的。
