This book highlights fast, iterative algorithms for solving multi constraint beamforming optimization problems in the field of array signal processing. It helps readers to develop a thorough understanding of computationally efficient solutions based on the alternating direction method of multipliers. These solutions can enhance real time performance while enabling precise control over array gain, robustness, sidelobe levels, and mainlobe responses across diverse environments. Key topics include high gain beamforming, sidelobe and mainlobe optimization, and FIR filter based broadband beamformer design, all supported by rigorous derivations, comparative analyses, and practical implementation frameworks. Distinguished by its wealth of illustrative examples, step by step algorithmic guidance, and a balanced integration of theory and applications, this book equips engineers and researchers with streamlined optimization techniques to improve signal resolution, interference rejection, and system performance in radar, sonar, wireless communications, and acoustic systems. Tailored for signal processing professionals, array system engineers, and graduate students, this work delivers cutting edge, implementable solutions for modern array signal processing challenges.

Shefeng Yan received the B.Sc., M.Sc., and Ph.D. degrees in electrical engineering from Northwestern Polytechnical University, Xi’an, China, in 1999, 2001, and 2005, respectively.

He was a Postdoctoral Research Associate with the Institute of Acoustics, Chinese Academy of Sciences (IACAS), Beijing, China, from 2005 to 2007, and with the Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Trondheim, Norway, from 2007 to 2008. From 2009 to June 2026, he was a Professor with IACAS. Since July 2026, he has been a Professor with the Institute of AI for Industries, Chinese Academy of Sciences, Nanjing, China. He has also been a Professor with the University of Chinese Academy of Sciences, Beijing, since 2013. He was a Senior Visiting Scholar with the University of Erlangen–Nuremberg, Germany, from December 2015 to February 2016.

He is the author of the book Broadband Array Processing (Springer, 2019). His research interests include acoustic signal processing, statistical and array signal processing, and underwater acoustic communications.