This book introduces a powerful new approach to solving complex optimization problems in wireless communication: the Augmented Lagrangian Method (ALM)-based Manifold Optimization (MO) framework. Modern wireless systems such as 5G and beyond must meet demanding requirements for speed, reliability, sensing, and energy efficiency, all while operating under strict physical and hardware constraints. Traditional optimization methods often fall short when faced with the nonconvex, high-dimensional nature of these problems.

By combining MO, which respects the underlying geometric structure of feasible solutions, with the ALM, which robustly handles constraints, this book provides a unified solution strategy for many of the most challenging wireless design problems. Readers will find clear explanations of the mathematical foundations, detailed algorithms, and illustrative examples that connect theory to practice.

Special features include step-by-step treatments of beamforming for integrated sensing and communication (ISAC), simultaneous wireless information and power transfer (SWIPT), backscatter communication, and reconfigurable intelligent surfaces (RIS). Simulation results, tables, and illustrations further enhance understanding.

The book’s most important contribution is its ability to bridge theory and real-world application, equipping researchers, engineers, and graduate students with the tools to design next-generation communication systems that are efficient, reliable, and future-ready.

Chintha Tellambura (Fellow, IEEE) received the B.Sc. degree with First-Class Honours in Electrical and Electronic Engineering from the University of Moratuwa, Sri Lanka, the M.Sc. degree in Electrical Engineering from King’s College London, UK, and the Ph.D. degree in Electrical Engineering from the University of Victoria, Canada. From 1997 to 2002, he was with Monash University, Australia. He is currently a Professor in the Department of Electrical and Computer Engineering at the University of Alberta, Canada.

Dr. Tellambura has authored or coauthored more than 650 journal and conference papers. His research interests include wireless communication theory, 6G wireless technologies, and machine learning for next-generation communication systems.

He was elected an IEEE Fellow in 2011 for contributions to physical-layer wireless communication theory and a Fellow of the Canadian Academy of Engineering in 2017. His work has been recognized with several awards, including Best Paper Awards at the IEEE Communication Theory Symposium and IEEE ICC, as well as the McCalla Professorship and the Killam Annual Professorship from the University of Alberta. He has also made extensive editorial contributions to the IEEE community, including service with IEEE Transactions on Communications and IEEE Transactions on Wireless Communications.

Diluka Galappaththige (Member, IEEE) is a Postdoctoral Research Fellow with the Department of Electrical and Computer Engineering at the University of Alberta, Canada. He received the B.Sc. degree with First-Class Honours in Electrical and Electronic Engineering from the University of Peradeniya, Sri Lanka, in 2017, and the Ph.D. degree in Electrical and Computer Engineering from Southern Illinois University Carbondale, USA, in 2021.

Dr. Galappaththige is a recipient of the NSERC Postdoctoral Fellowship (2024-2026). His research interests include massive multiple-input multiple-output systems (co-located and cell-free), integrated sensing and communication, reconfigurable intelligent surfaces, full-duplex and backscatter communications, and machine learning for next-generation wireless networks.

He has authored or coauthored more than 50 peer-reviewed journal and conference papers, as well as two books in wireless communications and signal processing. He received the Exemplary Reviewer Awards from IEEE Wireless Communications Letters in 2020 and IEEE Communications Letters in 2021. He currently serves as an Associate Editor for the IEEE Canadian Journal of Electrical and Computer Engineering and as a Guest Editor for the journals Symmetry and Entropy.