Digital micromirror device enabled integral field spectroscopy with the Hadamard transform technique

Spectroscopic measurements often require increased observing time to achieve a desired SNR. Multiplexed measurements of faint signals can improve the SNR in a more efficient manner. The Hadamard transform multiplexing technique offers the highest improvement in SNR of reconstructed signals. A Hadamard Transform Spectral Imager (HTSI) implements the technique through 2D spatial multiplexing to measure spatially resolved spectra with a gain in SNR. This can be implemented on existing and proposed Digital Micromirror Device (DMD) based multi-object spectrometers (MOS) as an HTSI observing mode. The HTSI mode enables the instrument to perform integral field spectroscopy with a gain in SNR. In this work we present preliminary results from modeling the performance of a DMD based HTSI for various sources of noise, signal fluctuations, and observation targets. We also present a plan to implement the technique with the SOAR Adaptive-Module Optical Spectrograph (SAMOS) instrument, a DMD based MOS.