Cosmological Parameters from Eigenmode Analysis of Sloan Digital Sky Survey Galaxy Redshifts

We present estimates of cosmological parameters from the application of the Karhunen-Loève transform to the analysis of the 3D power spectrum of density fluctuations using Sloan Digital Sky Survey galaxy redshifts. We use Ω_mh and f_b = Ω_b/Ω_m to describe the shape of the power spectrum, σ^L_8g for the (linearly extrapolated) normalization, and β to parametrize linear theory redshift space distortions. on scales k ≤ 0.16hMpc^--1, our maximum likelihood values are Ω_mh = 0.264 ± 0.043, f_b = 0.286 ± 0.065, σ^L_8g = 0.966 ± 0.048, and β = 0.45 ± 0.12. When we take a prior on Ω_b from WMAP, we find Ω_mh = 0.207 ± 0.030, which is in excellent agreement with WMAP and 2dF. This indicates that we have reasonably measured the gross shape of the power spectrum but we have difficulty breaking the degeneracy between and Ω_mh and f_b because the baryon oscillations are not resolved in the current spectroscopic survey window function.