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The signal measured by an astronomical spectrometer may be due to radiationfrom a multi-component mixture of plasmas with a range of physical properties(e.g. temperature, Doppler velocity). Confusion between multiple components maybe exacerbated if the spectrometer sensor is illuminated by overlapping spectradispersed from different slits, with each slit being exposed to radiation froma different portion of an extended astrophysical object. We use a compressedsensing method to robustly retrieve the different components. This method canbe adopted for a variety of spectrometer configurations, including single-slit,multi-slit (e.g., the proposed MUlti-slit Solar Explorer mission; MUSE) andslot spectrometers (which produce overlappograms).

Multi-component Decomposition of Astronomical Spectra by Compressed Sensing