Using Cramer-Rao theory as spectrometer design tool aimed at quantitative complex-spectrum analysis

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.