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We analyze the photometric redshift catalog of the Sloan Digital Sky SurveyData Release 5 (SDSS DR5) to estimate the Fisher information in the galaxyangular power spectrum with the help of the Rimes-Hamilton technique. It isfound that the amount of Fisher information contained in the galaxy angularpower spectrum is saturated at lensing multipole scale 300<= l <= 2000 in theredshift range 0.1<= photo-z <0.5. At l=2000, the observed information is twoorders of magnitude lower than the case of Gaussian fluctuations. This supportsobservationally that the translinear regime of the density power spectrumcontains little independent information about the initial cosmologicalconditions, which is consistent with the numerical trend shown byRimes-Hamilton. Our results also suggest that the Gaussian-noise descriptionmay not be valid in weak lensing measurements.

Information Content in the Galaxy Angular Power Spectrum from the Sloan Digital Sky Survey and Its Implication on Weak Lensing Analysis