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Signals that carry information play a central role in technology and engineering---ranging from sound and images to MRI, communication, radar, and robotic control. This course teaches mathematical tools to analyze, manipulate, dissect, and preserve information signals. For example, many continuous signals can be perfectly represented through sampling (Nyquist theorem), which leads to digital signals. A major focus of the course is the Fourier transform. We also study linear time-invariant systems, modulation, quantization, and stability (Laplace transform and z-transform). Lab design projects in Matlab include a "Shazam" music ID system.