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基于阈值理论,提出了构建双探测器型120~180 nm远紫外(FUV)成像光谱仪的灵敏度和信噪比(SNR)计算模型的方法。首先研究了接收信号的光电流分布以及系统噪声的概率分布,然后引入探测概率和虚警概率因子,从而建立了仪器的灵敏度与SNR的计算模型。并根据电离层中粒子辐射波长的亮度范围,获得仪器的理论最小探测功率,它反映了仪器的灵敏度能够满足探测需求。为了验证计算模型的正确性,建立了实验系统进行验证,结果表明,该方法的计算结果和实验结果间的误差在能够接受的范围内,计算模型合理有效。
Based on the threshold theory, a method to construct the sensitivity and signal-to-noise ratio (SNR) calculation model of dual-detector 120-180 nm FUV imaging spectrometer was proposed. Firstly, the distribution of the photocurrent of the received signal and the probability distribution of the system noise are studied. Then, the probability of detection and the false alarm probability factor are introduced to establish the calculation model of the sensitivity and SNR of the instrument. According to the range of the brightness of the particle radiation wavelength in the ionosphere, the theoretical minimum detection power of the instrument is obtained, which reflects that the sensitivity of the instrument can meet the detection requirement. In order to verify the correctness of the calculation model, an experimental system was established to verify the results. The results show that the error between the calculated results and the experimental results is within the acceptable range, and the calculation model is reasonable and effective.