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We present the first phase in our ongoing work to use Sloan Digital SkySurvey (SDSS) data to create separate white dwarf (WD) luminosity functions fortwo or more different mass ranges. In this paper, we determine the completenessof the SDSS spectroscopic white dwarf sample by comparing a proper-motionselected sample of WDs from SDSS imaging data with a large catalog ofspectroscopically determined WDs. We derive a selection probability as afunction of a single color (g-i) and apparent magnitude (g) that covers therange -1.0 < g-i < 0.2 and 15 < g < 19.5. We address the observed upturn in logg for white dwarfs with Teff <~ 12,000K and offer arguments that the problem islimited to the line profiles and is not present in the continuum. We offer anempirical method of removing the upturn, recovering a reasonable mass functionfor white dwarfs with Teff < 12,000K. Finally, we present a white dwarfluminosity function with nearly an order of magnitude (3,358) morespectroscopically confirmed white dwarfs than any previous work.

White Dwarf Luminosity and Mass Functions from Sloan Digital Sky Survey Spectra