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We present measurements of parameters of the 3-dimensional power spectrum ofgalaxy clustering from 222 square degrees of early imaging data in the SloanDigital Sky Survey. The projected galaxy distribution on the sky is expandedover a set of Karhunen-Loeve eigenfunctions, which optimize the signal-to-noiseratio in our analysis. A maximum likelihood analysis is used to estimateparameters that set the shape and amplitude of the 3-dimensional powerspectrum. Our best estimates are Gamma=0.188 +/- 0.04 and sigma_8L = 0.915 +/-0.06 (statistical errors only), for a flat Universe with a cosmologicalconstant. We demonstrate that our measurements contain signal from scales at orbeyond the peak of the 3D power spectrum. We discuss how the results scale withsystematic uncertainties, like the radial selection function. We find that thecentral values satisfy the analytically estimated scaling relation. We havealso explored the effects of evolutionary corrections, various truncations ofthe KL basis, seeing, sample size and limiting magnitude. We find that theimpact of most of these uncertainties stay within the 2-sigma uncertainties ofour fiducial result.Comment: Fig 1 postscript problem correcte

Karhunen‐Loeve Estimation of the Power Spectrum Parameters from the Angular Distribution of Galaxies in Early Sloan Digital Sky Survey Data