“…Real-time characterization techniques have been instrumental in gaining insights into fundamental aspects of photonics, nonlinear dynamics, chaotic systems, and complexity. ,,,, For instance, DFT techniques first allowed for the experimental study of incoherent frequency conversion processes, such as modulation instability (MI): The technique enabled the capture of nonrepetitive single-shot spectra with high-throughput (typically at MHz laser repetition rate), thus allowing the identification of extreme event formation, the statistical analysis of broadband spectral fluctuations, and the quantification of correlation features within complex noise-driven dynamics. ,,− Moreover, when combining DFT with time-lens approaches, one can gain insight into the optical field build-up and evolution within a laser cavity. ,− Due to its simplicity and efficiency, DFT techniques have become a standard characterization tool, covering applications such as laser development, ultrafast microscopy, spectroscopy, or velocimetry. − …”