Excursions In Harmonic Analysis, Volume 4: The February Fourier Talks At The Norbert Wiener Center (applied And Numerical Harmonic Analysis)

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002? 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include:? Special Topics in Harmonic Analysis? Applications and Algorithms in the Physical Sciences? Gabor Theory? RADAR and Communications: Design, Theory, and Applications The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering Front Matter....Pages i-xviii Front Matter....Pages 1-2 Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS....Pages 3-25 Bridging erasures and the infrastructure of frames....Pages 27-64 Choosing Function Spaces in Harmonic Analysis....Pages 65-101 Existence of frames with prescribed norms and frame operator....Pages 103-117 Front Matter....Pages 119-121 Phase Transitions in Phase Retrieval....Pages 123-147 Sparsity-Assisted Signal Smoothing....Pages 149-176 A Message-Passing Approach to Phase Retrieval of Sparse Signals....Pages 177-204 Importance sampling in signal processing applications....Pages 205-228 Front Matter....Pages 229-230 Finite Dimensional Dynamical Sampling: An Overview....Pages 231-244 Signal Processing on Weighted Line Graphs....Pages 245-259 Adaptive Signal Processing....Pages 261-290 Cornerstones of Sampling of Operator Theory....Pages 291-332 Front Matter....Pages 333-334 Spectral Correlation Hub Screening of Multivariate Time Series....Pages 335-366 A Spectral Analysis Approach for Experimental Designs....Pages 367-395 The Synchrosqueezing transform for instantaneous spectral analysis....Pages 397-406 Supervised non-negative matrix factorization for audio source separation....Pages 407-420 Back Matter....Pages 421-428