FISHER INFORMATION FOR EMCCD IMAGING WITH APPLICATION TO SINGLE MOLECULE MICROSCOPY

Area of Science:

• Optical microscopy
• Biophysics
• Image processing

Background:

• Charge-coupled devices (CCDs) are vital for biological imaging but struggle with low light due to readout noise.
• Electron-multiplying charge-coupled devices (EMCCDs) amplify signals to overcome readout noise in low-light conditions.

Purpose of the Study:

• To develop theoretical performance measures for parameter estimation using EMCCD images within a Fisher information framework.
• To enable direct comparison of CCD and EMCCD performance in biological imaging applications.

Main Methods:

• Extension of a previously established Fisher information framework.
• Derivation of Cramer-Rao lower bounds for parameter estimation from EMCCD images.
• Theoretical analysis of signal amplification effects on estimation accuracy.

Main Results:

• A theoretical framework for quantifying EMCCD performance in parameter estimation is established.
• The developed methods allow for a direct comparison of estimation accuracy between CCD and EMCCD systems.
• The study quantifies the advantages of EMCCDs in low-light imaging scenarios.

Conclusions:

• The developed theory provides a robust method for evaluating EMCCD imaging systems.
• This framework facilitates the selection of optimal imaging devices for low-light biological applications.
• The findings highlight the superior potential of EMCCDs for precise parameter estimation in challenging imaging conditions.