Sampling: Theory and Applications

The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.C. The papers highlight state-of-the-art advances and trends in sampling theory and related areas of application, such as signal and image processing. Chapters have been written by prominent mathematicians, applied scientists, and engineers with an expertise in sampling theory. Claude Shannons 100th birthday is also celebrated, including an introductory essay that highlights Shannons profound influence on the field. The topics covered include both theory and applications, such as:Compressed sensingNon-uniform and wave samplingA-to-D conversionFinite rate of innovationTime-frequency analysisOperator theoryMobile sampling issuesSampling: Theory and Applications is ideal for mathematicians, engineers, and applied scientists working in sampling theory or related areas.

Claude Shannon: American Genius.- Reconstruction of Signals: Uniqueness and Stable Sampling.- Sampling Theory in a Fourier Algebra Setting.- Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions.- Prolate Shift Frames and Sampling of Bandlimited Functions.- A Survey on the Unconditional Convergence and the Invertibility of Frame Multipliers with Implementation.