This book presents a unified framework for understanding the state-of-the-art in signal processing for wireless communications. Dr. Xiadong Wang and Dr. H. Vincent Poor focus on the development, analysis, and use of explicit algorithms for performing advanced processing tasks that arise in receiver design for emerging wireless systems, and provide a comprehensive set of algorithms for addressing physical issues, including multi-path, dispersion, interference, dynamism, and multiple-antenna systems. Many of the methods detailed here were developed by the co-authors themselves, notably in the areas of turbo processing, multiple-antenna systems, and low-complexity adaptive algorithms.