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Signal processing is a vast engineering field focused on retrieving, modifying, and preserving data contained within intricate signals and visual media. Techniques in this domain encompass: information compression, analog-to-digital transformation, signal and image recovery/enhancement, adaptive filtering, decentralized sensing and processing, and computerized pattern recognition. From the pioneering era of the fast Fourier transform (FFT) to contemporary widespread compression standards like MP3/JPEG/MPEG, signal processing has fueled numerous innovations that enhance modern life. Applications span: medical imaging systems (cardiac scan algorithms and cross-modal image alignment), digital audio technology (MP3 players and noise-reducing headphones), satellite navigation (GPS and location-enabled mobile devices), smart vehicle sensors (airbag triggers and crash avoidance 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 performance boundaries and reliability. UM's signal processing research is pioneering fresh models, methodologies, and technologies that will keep influencing medical diagnostics and treatments, radar imaging, sensor networks, visual data compression, telecommunications, and other vital sectors.