Compressed Sensing and its Applications

Compressed Sensing and its Applications, edited by Holger Boche and published by Birkhäuser in 2015, emerged as part of the Applied and Numerical Harmonic Analysis series. The volume was created to synthesize ongoing research in the rapidly evolving field of sparse signal recovery, bridging theoretical mathematical foundations with practical engineering implementations. It draws from a dedicated workshop where researchers sought to unify disparate approaches to signal processing, reflecting a period when compressed sensing was transitioning from a purely academic curiosity into a cornerstone of modern data acquisition and compression technologies.

The text was compiled to address the increasing complexity of data recovery in high-dimensional spaces. By assembling contributions from leading mathematicians and engineers, the editors aimed to provide a comprehensive reference for researchers navigating the shift toward sub-Nyquist sampling rates. The collection was well-received within the academic community for its rigorous analytical focus, serving as a primary resource for students and practitioners working on the mathematical optimization behind sparse signal reconstruction.