  Technological advances in instrumentation have led to an exponential increase
in exoplanet detection and scrutiny of stellar features such as spots and
faculae. While the spots and faculae enable us to understand the stellar
dynamics, exoplanets provide us with a glimpse into stellar evolution. While
the ubiquity of noise (e.g., telluric, instrumental, or photonic) is
unavoidable, combining this with increased spectrographic resolution compounds
technological challenges. To account for these noise sources and resolution
issues, we use a temporal multifractal framework to study data from the SOAP
2.0 tool, which simulates a stellar spectrum in the presence of a spot, a
facula or a planet. Given these controlled simulations, we vary the resolution
as well as the signal-to-noise (S/N) ratio to obtain a lower limit on the
resolution and S/N required to robustly detect features. We show that a spot
and a facula with a 1% coverage of the stellar disk can be robustly detected
for a S/N (per pixel) of 35 and 60 respectively, for any spectral resolution
above 20,000, while a planet with a radial velocity (RV) of 10 m/s can be
detected for a S/N (per pixel) of 600. Rather than viewing noise as an
impediment, our approach uses noise as a source of information.
