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Signal processing is a vast engineering field focused on retrieving, modifying, and preserving data contained within intricate signals and visual data. Techniques in this domain encompass: information compression, analog-to-digital transformation, signal and image recovery/enhancement, adaptive filtering, decentralized sensing and computation, and machine-driven pattern recognition. From the initial development of the fast Fourier transform (FFT) to modern widespread MP3/JPEG/MPEG compression standards, signal processing has powered numerous innovations that enhance daily life. Applications span: medical imaging systems (cardiac scan algorithms and cross-modality image alignment), digital sound technology (MP3 players and noise-reducing headphones), satellite navigation (GPS and location-enabled mobile devices), smart vehicle sensors (airbag triggers and crash detection systems), multimedia gadgets (handheld devices and smartphones), and digital forensics (online surveillance and voice recognition systems). The University of Michigan approaches signal processing as a scientific discipline where novel techniques are mathematically developed and applied using core theories that enable forecasting of method constraints and reliability. UM's signal processing investigations are pioneering fresh frameworks, approaches, and innovations that will keep influencing medical diagnostics and treatments, radar technology, sensor systems, visual data compression, telecommunications, and other sectors.