Information theoretic bounds of phase diversity for diversity polynomials and noise statistics

Jean J. Dolne; Harold B. Schall

doi:10.1117/12.563391

12 October 2004 Information theoretic bounds of phase diversity for diversity polynomials and noise statistics

Jean J. Dolne, Harold B. Schall

Proceedings Volume 5553, Advanced Wavefront Control: Methods, Devices, and Applications II; (2004) https://doi.org/10.1117/12.563391
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

Information theoretic bounds on the estimated Zernike coefficients for various diversity phase functions are analyzed in this paper. We will show that, in certain cases, defocus diversity may yield higher Cramer-Rao lower bound (CRLB) than some other diversity phase functions. Evaluating the performance of the phase diversity algorithm using simulated images, we find that for an extended scene and defocus diversity, the phase diversity algorithm achieves the CRLB for known objects and approaches the CRLB by about a factor of two for unknown objects.

Citation Download Citation

Jean J. Dolne and Harold B. Schall "Information theoretic bounds of phase diversity for diversity polynomials and noise statistics", Proc. SPIE 5553, Advanced Wavefront Control: Methods, Devices, and Applications II, (12 October 2004); https://doi.org/10.1117/12.563391

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