21-435 Applied Harmonic Analysis

9 units, Carnegie Mellon University

This course serves as a broad introduction to harmonic analysis and its applications, particularly in 1dimensional signal processing and in image processing, for undergraduate students in mathematics, engineering, and the applied sciences. Topics include Discrete Fourier transform and fast Fourier transform Fourier series and the Fourier transform Hilbert spaces and applications Shannon sampling theorem, bandlimited functions, uncertainty principle Wavelets and multiresolution analysis Applications in image processing. Three 50 minute lectures

Prerequisites: (21-355 or 21-235 or 21-455) and (21-241 or 21-242)

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