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We research the requirements of High Contrast Imaging when combined with thecross correlation (CC) of high resolution spectra with known spectroscopictemplates for detecting and characterising exoplanets in reflected light. Wesimulate applying the technique to a potentially habitable Proxima b-likeplanet and show that the O$_2$ A-band spectral feature could feasibly bedetected on nearby rocky exoplanets using future instruments on the ELT . Thetechnique is then more widely analysed showing that detections of planets andO$_2$ with signal to noise in the CC function (SNR$_{CC}$) > 3 can be obtainedwhen the signal to noise of the simulated planet spectrum (SNR$_{spec}$) isfrom 0.25 to 1.2. We place constraints on the spectral resolution, instrumentcontrast, point spread function (PSF), exposure times and systematic error instellar light subtraction for making such detections. We find that accuratestellar light subtraction (with 99.99% removal) and PSFs with high spatialresolutions are key to making detections. Lastly a further investigationsuggests the ELT could potentially discover and characterise planets of allsizes around different spectral type stars, as well as detecting O$_2$ onSuper-Earths with habitable zone orbits around nearby M stars.

High Resolution Spectroscopy and High Contrast Imaging with the ELT : looking for O$_2$ in Proxima b