# Multi-component Decomposition of Astronomical Spectra by Compressed Sensing

## TL;DR

This paper introduces a compressed sensing approach for decomposing complex astronomical spectra into multiple components, improving the analysis of multi-source plasma signals in various spectrometer configurations.

## Contribution

It presents a novel compressed sensing method tailored for multi-component spectral decomposition applicable to diverse spectrometer setups.

## Key findings

- Successfully separates overlapping spectral components.
- Robustly retrieves plasma properties from complex spectra.
- Applicable to multiple spectrometer designs.

## Abstract

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