We develop a novel method to extract key cosmological information, which is primarily carried by the baryon acoustic oscillations (BAO) and redshift space distortions (RSD), from spectroscopic galaxy surveys, based on a joint principal component analysis (PCA) and Karhunen-Lo`eve (KL) data compression scheme. Comparing to the traditional methods using the multipoles or wedges of the galaxy correlation functions, we find that our method is able to extract the key information more efficiently, with a better control of the potential systematics, which manifests it as a powerful tool for clustering analysis for ongoing and forthcoming galaxy surveys.
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