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在本文所研究的空间调制型傅里叶变换光谱仪中,在窄的光谱带宽内进行探测可以有效提高光谱的分辨率.为了研究光源辐射噪声对系统的影响,本文将辐射噪声归纳为一种高斯窄带的平稳随机过程,利用线性系统分析方法,根据统计学原理推导了辐射噪声作为随机变量通过干涉系统前后的输入信噪比与输出信噪比.然后,对于一个具有窄带矩形光谱的系统进行了计算仿真,得出了信噪比增益随着光程差在不同自相关度和互相关度取值时的变化情况.仿真结果表明,不同光程差下的信噪比增益在相关度空间是一单调的平滑曲面,增益极值始终沿着相关度圆的半径和周线移动,并且经过一个光程差又回到初始的位置.根据对信噪比增益的分析,可以将噪声的相关度取值控制在某一范围之内,并作为系统光源设计与测试的依据.
In the space-modulated Fourier transform spectrometer studied in this paper, the detection within a narrow spectral bandwidth can effectively improve the spectral resolution.In order to study the influence of the radiation noise on the system, this paper summarizes the radiation noise into a Gaussian Narrow-band stationary random process, the linear system analysis method is used to derive the input signal-to-noise ratio and the output signal-to-noise ratio of the radiated noise as a random variable before and after passing through the interference system according to the statistical principle.And then, for a system with narrowband rectangular spectrum The results show that the gain of signal-to-noise ratio in different optical path difference is in the correlation degree space is A monotonous smooth surface, the gain extremum always along the radius of the correlation circle and the circumference of the line, and after an optical path difference back to the original position.According to the analysis of signal-to-noise gain, the noise correlation The value of control within a certain range, and as the basis for the design and testing of the system light source.