In this paper the use of the Cramer–Rao lower bound (CRLB) to aid in the design of diagnostic systems dealing with complex spectra is discussed. Specifically it is discussed how a priori knowledge, used to improve the estimation, can be included in the CRLB analysis. This provides improved predictions for the spectrometer characteristics that will lead to an optimal system.
Using Cramer–Rao theory as spectrometer design tool aimed at quantitative complex-spectrum analysisa)
J. F. F. Klinkhamer, N. C. J. van der Valk, M. G. von Hellermann, R. Jaspers; Using Cramer–Rao theory as spectrometer design tool aimed at quantitative complex-spectrum analysis. Rev. Sci. Instrum. 1 October 2008; 79 (10): 10F331. https://doi.org/10.1063/1.2971972
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