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This is the first in a series of papers in which we analyzemedium--resolution spectra of over 400 K and M giants in Baade's Window. Oursample was selected from the proper motion study of Spaenhauer et al. [AJ, 103,297 (1992)]. We have measured radial velocities for most of the sample, as wellas line--strength indices on the system of Faber et al. [ApJS, 57, 711 (1985)].We analyze the random and systematic errors in velocities and line strengths,and show that the bright (V < 16.0) stars in our sample are predominantlyforeground disk stars along the line--of--sight toward Baade's Window. We findthat most of the bulge K giants have stronger Mg absorption at a given colorthan do stars in the solar neighborhood. If the K giants in our sample aremoderately old, we suggest that on average they may have [Mg/Fe] ~ +0.3,consistent with the results of recent high--resolution spectroscopy in Baade'sWindow.

K Giants in Baade's Window. I. Velocity and Line-Strength Measurements