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Fisher information matrix for branching processes with application to electron-multiplying charge-coupled devices
Jerry Chao1, E Sally Ward, Raimund J Ober
1Department of Electrical Engineering, University of Texas at Dallas, Richardson, TX 75080, USA.
Multidimensional Systems and Signal Processing
|October 11, 2012
Summary
Electron-multiplying charge-coupled devices (EMCCDs) improve low-light imaging by amplifying signals to overcome readout noise. This study develops theory to calculate Fisher information for EMCCD signals, aiding in precise measurements.
Area of Science:
- Physics
- Optical Engineering
- Signal Processing
Background:
- Charge-coupled devices (CCDs) are limited in low-light conditions due to readout noise overwhelming weak signals.
- Electron-multiplying charge-coupled devices (EMCCDs) amplify signals to mitigate readout noise, enhancing low-light performance.
Purpose of the Study:
- To develop a theoretical framework for calculating Fisher information content in EMCCD-amplified signals.
- To provide tools for analyzing and comparing different EMCCD data models and amplification scenarios.
Main Methods:
- Modeling the amplified EMCCD signal as a branching process.
- Deriving Fisher information expressions for general, geometric, and approximated amplification models.
- Introducing a 'noise coefficient' for scalar analysis and comparison.
Main Results:
- Obtained Fisher information expressions for various EMCCD amplification models under Poisson signal conditions.
- Demonstrated the utility of the 'noise coefficient' for comparing different data models.
- Applied the theory to a point source localization problem using EMCCD imaging.
Conclusions:
- The developed theory provides a robust method for quantifying information in EMCCD signals.
- The 'noise coefficient' offers a simplified approach to evaluating EMCCD performance.
- This work facilitates improved estimation accuracy in low-light imaging applications.
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