Excursions in Harmonic Analysis, Volume 1 (eBook)

Part 1 Sampling Theory.- Unions of Subspaces for Data Modeling and Subspace Clustering.- Fusion frames and Unbiased Basic Sequences.- Sampling in Spaces of Bandlimited Functions on Commutative Spaces.- Smooth Interpolation of Data by Efficient Algorithms.- An Overview of Time and Multiband Limiting.- A Panorama of Sampling Theory.- Part II Remote Sensing.- Multistatic Radar Waveforms for Imaging of Moving Targets.- Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer.- An Introduction to Hyperspectral Image Data Modeling.- Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers.- Theory of Passive Synthetic Aperture Imaging.- Part III Mathematics of Data Processing.- Golay-Rudin-Shapiro Polynomials and Phased Arrays.- Multi-Resolution Geometric Analysis for Data in High Dimensions.- On the Fourth-Order Structure Function of a Fractal.- Harmonic Analysis of Databases and Matrices.- The Structure of Sidelobe-Preserving Operator Groups.- Zeros of some Self-Reciprocal Polynomials.- Part IV Applications of Data Processing.- Generalized Mutual Interdependence Analysis of Noisy Channels.- Approximation Methods for the Recovery of Shapes and Images from Gradients.- FM Perturbations due to Near-Identity Linear Systems.- Eddy Current Sensor Signal Processing for Stall Detection.- State Dependent Channels: Strong Converse and Bounds on Reliability Function.