I present an atlas of near-infrared K-band spectra of 31 late-type giants a
nd supergiants and two carbon stars. The spectra were obtained at resolving
powers of 830 and 2000, and have a signal-to-noise ratio greater than or s
imilar to 100. These data are complemented with results from similar existi
ng libraries in both K and H band, and they are used to identify various to
ols useful for stellar population studies at moderate resolution. I focus o
n several of the most prominent absorption features and (1) investigate the
effects of spectral resolution on measurements of their equivalent width (
EW), (2) examine the variations with stellar parameters of the EWs, and (3)
construct composite indices as indicators of stellar parameters and of the
contribution from excess continuum sources commonly found in star-forming
and AGN galaxies. Among the features considered, the (CO)-C-12 (2,0) and (C
O)-C-12 (6,3) bandheads together with the Si I 1.59 mu m feature, first pro
posed by Oliva, Origlia, and coworkers, constitute the best diagnostic set
for stellar spectral classification and for constraining the excess continu
um emission. The Ca I 2.26 mu m and Mg I 2.28 mu m features offer alternati
ves in the K band to the (CO)-C-12 (6, 3) bandhead and Si I feature.