Fisher information matrix for branching processes with application to electron-multiplying charge-coupled devices.
Fisher information matrix for branching processes with application to electron-multiplying charge-coupled devices.
复制标题
DOI：
10.1007/s11045-011-0150-7
复制
发表时间：
2012-09
影响因子：
2.5
通讯作者：
Ober RJ
中科院分区：
文献类型：
--
作者：
Chao J;Ward ES;Ober RJ
电荷耦合器件（CCD）的高量子效率使其成为各种应用中首选的成像技术。然而，在极低的光照条件下，从成像物体中检测到的光子很少，CCD就变得不合适了，因为它的读出噪声很容易压倒微弱的信号。电子倍增电荷耦合器件（EMCCD）是解决这一问题的一种方法，它可以随机放大采集到的信号以淹没读出噪声。在这里，我们发展了计算放大信号的费雪信息含量的理论，它被建模为分支过程的输出。具体地说，得到了放大的一般模型和几何模型以及放大信号的两种近似的Fisher信息表达式。所有表达式都适用于泊松分布初始信号的重要场景，这是光子探测等物理过程的特征。为了便于研究不同的数据模型，引入了一个“噪声系数”，它允许通过标量量对费雪信息进行分析和比较。我们将我们的结果应用于从其图像估计点源位置的问题，通过光学显微镜观察并由EMCCD检测。
The high quantum efficiency of the charge-coupled device (CCD) has rendered it the imaging technology of choice in diverse applications. However, under extremely low light conditions where few photons are detected from the imaged object, the CCD becomes unsuitable as its readout noise can easily overwhelm the weak signal. An intended solution to this problem is the electron-multiplying charge-coupled device (EMCCD), which stochastically amplifies the acquired signal to drown out the readout noise. Here, we develop the theory for calculating the Fisher information content of the amplified signal, which is modeled as the output of a branching process. Specifically, Fisher information expressions are obtained for a general and a geometric model of amplification, as well as for two approximations of the amplified signal. All expressions pertain to the important scenario of a Poisson-distributed initial signal, which is characteristic of physical processes such as photon detection. To facilitate the investigation of different data models, a “noise coefficient” is introduced which allows the analysis and comparison of Fisher information via a scalar quantity. We apply our results to the problem of estimating the location of a point source from its image, as observed through an optical microscope and detected by an EMCCD.
登录
查看更多内容
影响因子：
3.4
作者：
Thompson, RE;Larson, DR;Webb, WW
通讯作者：
Webb, WW
用于超分辨率成像的电子倍增电荷耦合、科学互补金属氧化物半导体和电荷耦合器件的定位能力和局限性
影响因子：
3.5
作者：
Quan, Tingwei;Zeng, Shaoqun;Huang, Zhen-Li
通讯作者：
Huang, Zhen-Li
影响因子：
3.4
作者：
Ober, RJ;Ram, S;Ward, ES
通讯作者：
Ward, ES
影响因子：
3.8
作者：
DeSantis MC;DeCenzo SH;Li JL;Wang YM
通讯作者：
Wang YM
DOI：
10.1364/josaa.12.000272
发表时间：
1995-02-01
影响因子：
1.9
作者：
SNYDER, DL;HELSTROM, CW;WHITE, RL
通讯作者：
WHITE, RL