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This lecture explores the fascinating topic of exoplanet hunting, starting with the vastness of the universe and the discovery of the first exoplanet. The instructor explains the radial velocity method used by Michel Mayor and Didier Queloz, and then delves into the transit method, illustrating how planets passing in front of stars can be detected through changes in light flux. The role of digital signal processing in denoising images and extracting light curves is highlighted, with a glimpse into the future of exoplanet detection through missions like CHEOPS.