Compressed Sensing and its Applications

Compressed sensing was introduced in 2006 as a novel technique in signal processing which exploits the sparseness or compressibility of a signal to efficiently acquire and reconstruct signals. Since then, the area attracted significant attention and the mathematical concepts of the theory are now quite well understood. Parallel to the progress in mathematics, the potential applications of compressed sensing have been explored by many international groups of engineers and applied mathematicians, achieving very promising advances in various areas such as communication theory, imaging sciences, optics, radar technology, sensor networks, or tomography. Since many applications have reached a mature state, the research center MATHEON, in Berlin focusing on "Mathematics for Key Technologies," invited leading researchers on applications of compressed sensing from mathematics, computer science and engineering to the MATHEON Workshop: Compressed Sensing and its Applications to be held December 2013. It will be the first workshop specifically focusing on the applications of compressed sensing. To make this book accessible for those unfamiliar with compressed sensing, the book will not only contain chapters on various applications of compressed sensing written by plenary and invited speakers, but will also provide a general introduction providing an overview into compressed sensing. The book is aimed at both graduate students and researchers in the areas of applied mathematics, computer science and engineering as well as other applied scientists interested in the potential and applications of the novel methodology of compressed sensing. For those readers who are not already familiar with compressed sensing, an introduction to the basics of this theory will be included.